From: JimMuth@aol.com Subject: (fractint) [philofractal] FOTD 29-09-01 (Aleph Null [7]) Date: 29 Sep 2001 09:42:18 EDT FOTD -- September 29, 2001 (Rating 7) Fractal visionaries and enthusiasts: Well, I didn't find a 9-rated fractal. I didn't even find one that rates an 8. But I did find a fractal that is worth a 7, and this is two points above the 5 we've been stuck with for the past several days. The iterated formula subtracts some Z^(-1.1) from Z^(1.2) before adding (1/C), and catches the parent fractal when it is on the verge of turning inside-out. With its broad textured cross and textured intricacies, today's fractal is well worth the 3 minutes required to render it from the parameter file. The name I gave it, "Aleph Null", is the name of the transfinite number that represents the least infinite of the infinity of infinities. I gave the image this name for no apparent reason. In addition to running the parameter file, the image may be seen by downloading it from the W.W.W. at: or: The fractal weather today was variably cloudy with a temperature of 64F 18C. The cats found the porch warm enough during the sunny periods, but retreated indoors when heavy clouds obscured the sun and a chilly breeze sprang up. I'll take a day or two break in my philosophical musings, but I've still got enough ideas backed up to keep me going for years. So stay tuned to the philofractal list for wisdom unlimited delivered in a moderately humble manner. That's it for today. Until next time, take care, and stay smart. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Aleph_Null { ; time=0:03:35.03--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+9.53758757820609500/+11.15144884977357\ 000/1195.65/1/47.499 params=1/1.2/-0.8/-1.1/-0.07/0 float=y maxiter=1000 inside=0 logmap=58 periodicity=20 colors=000CKoCMtDKqEJnEHkFGhGFeGDbHC`HAYI9VJ8SJ6PK\ 5MK4KMAMOFNQKPSPQUURWZTYcU_hVamXcrYewZeyLez8gvAhrB\ jnDkjElfGnbHoZJpVKkSGfPCaM9XJ5TH2WL9YOF_SLaVRcZYea\ cgeiihogdnfandZncWnaTm`Qm_NmYJmXGmVDlUAlS7lR4lQ1l`\ 5mj9nhDofHpeLpcPqaTq`XrZ`rYdsWhsUltTptRtuQxuRwpSwl\ SwhTwdTv_UvWUvSVvOVuJWuFWuBXu7Xu3Wv4Vv5Uv6Tw7Sw8Sw\ 9RxAQxBPxCOyDNyENyFSzGWzH`zHdzIizJmzJmwGmuHzsIzqJz\ oJzmKzmLzmMzmMzmPzmRwmUrmWmmYhm`cmbZmdUmgReiShlTjn\ TmpUpsVsuVuwTttStqQtoPtlOtiMsgLsdJsaIs_HsXFrUErSCr\ PBrMArKGpMMnORlQXjSaiTbjWckZdk`elcflfgmhhmkinmjnpk\ osloumpxnpzgqr`qjUqbNrWGrO9rG2r97pABnBFlCJjDNiDRgE\ VeFZcGbaHf`HcaJabL_cNYcPWdRUeTSeUZUqcZkgbekf_pjUtn\ OxrIpsPbsVet`htgkumnvsqwmtxgwybzzXzzSzzMzzHzzBzz6z\ zAzzEzzIzzLzzPzzTzzWzz_zzczzfzzjzznzzqzzhzz_zzSzzT\ zzTzzUzzUzzVzzVzzWzzWzzXzzXzzYzzYzzZzzZzz_zz_zzZzz\ ZzzYzzYzzLzzMzzSzzYzzczzi } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== To unsubscribe, e-mail: philofractal-unsubscribe@lists.fractalus.com For additional commands, e-mail: philofractal-help@lists.fractalus.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: David Boddington Subject: Re: (fractint) Fractal Extremes Can Predict Impending Date: 01 Oct 2001 07:48:17 -0700 At 11:47 AM 01-10-01 +1200, Morgan L Owens wrote: >How long will a steel pillar support a bridge before rust eats deep enough to >let it snap? How long will a container of corrosive acid hold before it >springs a leak? If a man makes a statement in a forest and there is no woman there to hear him...... is he still wrong? Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: kelly christiansen Subject: Re: (fractint) Fractal Extremes Can Predict Impending Breakdowns Date: 01 Oct 2001 07:53:20 -0700 (PDT) --- David Boddington wrote: > At 11:47 AM 01-10-01 +1200, Morgan L Owens wrote: > > >How long will a steel pillar support a bridge before rust eats deep enough > to > >let it snap? How long will a container of corrosive acid hold before it > >springs a leak? > > > If a man makes a statement in a forest and there is no woman there to hear > him...... > is he still wrong? > of course ===== ****************************************************************** Fractal resources available at http://cyberwizards.com/~hub/fractal To subscribe to fractaltalk, send a message to listar@wru.org with"subscribe fractaltalk" in the body. To unsubscribe from fractaltalk, send a message to listar@wru.org with"unsubscribe fractaltalk" in the body. ****************************************************************** __________________________________________________ Do You Yahoo!? Listen to your Yahoo! Mail messages from any phone. http://phone.yahoo.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Scott D. Boyd" Subject: Re: (fractint) FOTD 29-09-01 (Aleph Null [7]) Date: 01 Oct 2001 09:59:34 -0500 Hey Jim, Oops! I don't know if anyone else received it, but I just received the FOTD from Sept. 29th. Scott Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 29-09-01 (Aleph Null [7]) Date: 01 Oct 2001 10:05:42 -0500 Scott D. Boyd wrote: > > I don't know if anyone else received it, > but I just received the FOTD from Sept. 29th. > I just received a second copy, but it was as if it came from the Philofractal List. Maybe Damien's EZMLM mail server, or the new IP address move, is having difficulties. I know that the Development Team is definitely experiencing problems on Damien's machine. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 01-10-01 (Spectacle [4]) Date: 01 Oct 2001 11:06:10 -0400 (EDT) FOTD -- October 01, 2001 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal, which was calculated with a bailout of 400, was created by adding 0.6 parts of Z^(-16) to 6 parts of Z^(-1.6), and then adding (1/C). The parent fractal is a many-bayed affair, with more valleys than the garden here at Fractal Central has butterflies. The scene of today's image is located at the tip of a spiral filament extending from a tiny bud on the south shore of a curved valley in the north section of a secondary bay at the east end of the parent fractal. It's probably easier to zoom out of today's image and see just where it is located in relation to the whole fractal than it is to make sense of that last sentence. I named the image "Spectacle". It's true that all fractals are spectacles, (though all spectacles are not fractals). But I don't recall having used the word before, and though today's image rates only a humble 4 IMO, it is still worth being called a spectacle. The spectacular scene takes 15 minutes to unfold from the parameter file. The scene can be seen in far less time by waiting an hour or so until Paul and Scott have had a chance to post the GIF image to their web sites at: and at: and downloading it from there. (Don't ask how the image can be seen in less time than 15 minutes by waiting an hour. It's a mystery.) The fractal weather today continued chilly for the season, with clouds and a temperature of 62F 16.5C, which left the cats cold. They spent the day on their shelf by the window, watching the world outside, wishing it were warmer, and perking up only when another cat came into sight. At nightfall, a shower of rain began, but by that time, the day had already been spoiled. It's now time to shift gears into a more practical mode. When I finish the things that need to be done, I might get back to that FOTD-CD that I've been thinking of. Until next time, which will be tomorrow around this same time, take care, and be as peaceful as possible. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Spectacle { ; time=0:15:34.61--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.22164249176614300/+0.300496616260909\ 60/5.076234e+007/1/-95 params=6/-1.6/0.6/-16/0/300 float=y maxiter=3600 inside=0 logmap=243 colors=000FkzFmzKhzFmzB`z4Qz0Dw00p00i00b00Z00V40S9\ 0OF0KK0HQ0DT09Z04d00i00g00e00e00d04b07b09`0BZ0FZ0H\ X0IV0KV0OT0QS0SS0VQ0XO0ZO0`M0dK0eK0gI0iH0mH0nF0pH0\ vF0tF0rF0pF0pF0nF4mF9kDDkDHiDKgDQeDTeDXdD`b0Zk7beD\ dbKeZQiTXkQbmMgpHnrDtt9zw2zy0zz0zz0zz0zw0zv0zt0yp2\ vn4rm7ni7kg9geBebDb`FZZHVVISTKQSKSTQTVTTXZVZbX`gX`\ kZbpZdt`ewbgzbgzdizekzemzgnzdzzevzgnzigzi`zkTzmMzm\ Fzn7zp0zz0zp0zr0zk0zi2ze7udBp`FkZIfXMfTQfSTkOVpMZu\ IbzHeyFiyBmw9pvKttUwrczpmznwzkwzmwznwzpwzrrzrmzthz\ vczwczyczyczzczzUzzKzz7zz7zz9yz9yzBm0BmzzwmDwzDwzF\ wzFvzHhzHvzDzzHvzIpzMmzOgzSbzTZzXTzZQzbKzdFzgBzi4z\ k0zrTywrZzz7yzBwzFtyIrrMnmOmgSi`VgVZdQbbIdZDgXDkTF\ nSHrQItSKvSMwSOwSQySSzSTzSVzTXzTZzT`zTbzTdzTezTgzV\ izVkzVmzVnzVpzVrzVtzXvzXwzXyzXzzXzzXzzXzzTzzXzzZzz\ `zzdzzezzgzzizzmzznzzpzzrzzvzzwzzyzzzzzzzzzzzzzzzz\ zzzyzzwzzwtzzXzz9zzFzzIzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: Re: (fractint) FOTD 29-09-01 (Aleph Null [7]) Date: 01 Oct 2001 11:07:30 -0400 (EDT) At 09:59 AM 10/1/01 -0500, you wrote: >Hey Jim, > >Oops! > >I don't know if anyone else received it, but I just received the FOTD from >Sept. 29th. > >Scott I got the old FOTD also. Something must have hiccoughed. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Michael Weitzel Subject: (fractint) Lyapunov ... Date: 01 Oct 2001 21:09:03 +0200 Hi, I have written a program for calculating the famous Lyapunov diagrams. That's the good news ;-) The bad news is that it won't run under Windows/DOS. It needs a Unix env. with X-Server (e.g. Linux; with recommended color depth of 15 bit and up). Default-formula is x(t+1)=r*x(t)*(1-x(t)) (aka "logistic"), but there 11 other (perhaps more interesting) formulas. Default sequence for parameter r is "AB" ... play with it. If you have zoomed into an area with 'weak' texture, try pressing the middle mouse button to start a recoloring function which tries to adjust the colors according to their distribution. download sources at: http://www.ldknet.org/hp/mweitzel/ljapunow_exp.tar.gz Together with this Lyapunov program comes a Mandelbrot generator which uses PVM (parallel virtual machine; to distribute the calculation over the LAN) an true color methods for incolor/outcolor. Press "j" to switch Julia-mode. I've put some examples together with some theoretic background (in german ... sorry; I will translate this page if someone is interested) on my homepage (see below). btw: maybe you will occur problems because of the "-march=i686" if your machine doesn't support it ... simply remove it. btw^2: default target for Makefile ist "ljap". If you want to try out the "Apple Man" type "make mandel". have fun :-))) -- Michael --- http://www.ldknet.org/hp/mweitzel/ *Weitzel* --- email: michael(at)ldknet.org Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jonathan Osuch" Subject: (fractint) Fractint version 20.2.0 Date: 01 Oct 2001 19:59:07 -0500 Folks, Fractint version 20.2.00 is now available at the developer's web site: www.fractint.org What's new: Incremented the version number to accommodate backwards compatibility for the logmap option. Modified the logmap routine so that the color with index # 2 would be displayed. Added a logmode=auto command line option that causes the logmap to adjust automatically when zooming. Changing almost anything will turn this feature off. It is best set using the screen prompt. Edited the help docs to document the move of the development area from Compuserve to the web. Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mark Christenson Subject: Re: (fractint) Fractint version 20.2.0 Date: 01 Oct 2001 21:46:26 -0700 At 07:59 PM 10/1/01 -0500, Jonathan wrote: >... >What's new: >... >Modified the logmap routine so that the color with index # 2 would be >displayed. Thanks for that one! I had been working around it by subtracting one from the automatic selection. >Added a logmode=auto command line option that causes the >logmap to adjust automatically when zooming. Cool! Could it also be done via the "x" menu? Or am I confusing logmode and logmap? Aloha, Bud Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 01-10-01 (Spectacle [4]) Date: 02 Oct 2001 08:56:21 +0000 >From: Jim Muth >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: (fractint) FOTD 01-10-01 (Spectacle [4]) >Date: Mon, 1 Oct 2001 11:06:10 -0400 (EDT) > > >FOTD -- October 01, 2001 (Rating 4) Mmmm.... In my *equally* humble opinion, that should rate at least 5, but still... BTW, where I am (sunny England) it's currently 10am on the 1st of October, yet the FotD for the 1st is already up. I thought America was abotu 12 hours BEHIND GMT?... Anyone care to explane this to me? Andrew. "Where the heck IS the I.D.L. anyway???" _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Scott D. Boyd" Subject: Re: (fractint) FOTD 01-10-01 (Spectacle [4]) Date: 02 Oct 2001 04:20:12 -0500 On Tuesday 02 October 2001 03:56, Andrew wrote: > BTW, where I am (sunny England) it's currently 10am on the 1st of October, > yet the FotD for the 1st is already up. I thought America was abotu 12 > hours BEHIND GMT?... Anyone care to explane this to me? > Starting on the east coast of the U.S., where Jim Muth is at, the EDT zone is only 4 hrs. behind GMT. There's 4 time zones for the mainland of U.S. and Hawaii is (I believe) 9 or 10 hours behind GMT. Sometimes Jim posts the FOTD to the mailing list the night before, but that doesn't happen too often. This time, Jim posted the FOTD for Oct. 1st at 11:06 EDT (or 15:06 GMT) on Oct 1st. You said it was "currently 10am on the 1st of October", but according to the email header of your email, the fractint mailing list didn't get your email until approx. 23 hours later! There's another conundrum for you! My take on it: Either Earth is spinning in reverse, (or maybe it occasionally stalls in it's orbit...) or it's just another one of those mysteries of life...... Take your pick.... Scott Boyd Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 01-10-01 (Spectacle [4]) Date: 02 Oct 2001 11:26:04 +0000 >From: "Scott D. Boyd" >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) FOTD 01-10-01 (Spectacle [4]) >Date: Tue, 02 Oct 2001 04:20:12 -0500 > >You said it was "currently 10am on the 1st of October", but according to >the >email header of your email, the fractint mailing list didn't get your email >until approx. 23 hours later! There's another conundrum for you! > >My take on it: >Either Earth is spinning in reverse, (or maybe it occasionally stalls in >it's >orbit...) or it's just another one of those mysteries of life...... Take >your >pick.... > >Scott Boyd The trueth is far simpler... I am the proud owner of a very nice watch. But unfortunatly it's mechanical. Due to this, the poor device is under the impression that every single month of the year has 31 days in it. Thus, the watch believed that Monday was the 31 of September, and thus today is the 1st of October. So I looked at Jim's (very nice) Fractal, checked my watch and thought "kore, that's bloomin fast!" and proceeded to ask how this was possible. I have now realised that it is in fact the SECOND day of october today (aaarrrrggggh!!!!) How stupid am I? Thanks. Andrew. (PS. you don't have to answer that question!) _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 02-10-01 (Run for Cover [7]) Date: 02 Oct 2001 10:43:20 -0400 (EDT) FOTD -- October 02, 2001 (Rating 7) Fractal visionaries and enthusiasts: Today's image has been named "Run for Cover". Given the world situation, such a name would appear to have a deep psychological significance. And perhaps it does. The name came to me when I put my mind into idle. (An easy task.) It came of its own accord, like an image in an inkblot. The image's slightly sinister aura would seem to reinforce the psychological origin of the name. The formula behind the image subtracts some 1/Z from some Z, and creates a curiously distorted Mandeloid that is extremely sensitive to the value of the real(p3) parameter, being ready to expand to infinity or shrink to nothing at the slightest change of that parameter. Despite its ominous overtones, today's image rates a 7. It's also a fast image, taking only 2 minutes on a worn-out old Pentium 200mhz machine. The GIF image can also be seen by downloading it from: or from: The fractal weather today (Monday the 1st) was cloudy and cool, not the best conditions to make fractal cats happy, but the cats found what happiness they could, sleeping on the porch in the warmth of the little bit of sunlight filtering through the clouds. The temperature of 66F 19C was somewhat below average. There's so much activity on the philofractal list that I must take a day or two to digest it before offering more philosophy. And I must also keep the discussion from wandering totally away from the topic of fractals. Look for more wisdom, possibly as soon as the next FOTD. For now, I've got a day's work to finish and a couple annoying cats to feed. Until next time, take care, and a diet of fractals can really make those pounds and inches disappear. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Run_for_Cover { ; time=0:02:26.32--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.02829866980610058/-0.064453758425730\ 76/1.908413e+007/1/177.499999994679371/5.664339275\ 4018862e-009 params=-1/-1/1/1/-2.1/800 float=y maxiter=1200 inside=0 outside=summ colors=000oZctXayV_uTXrSUnRRkQOgOLdNI`MFYLCUJ9RI6N\ H3KG1NF6QEATDEWCIZBMaAQd9Vg8Zj7bm6fp5js4nu4rr5qo5q\ l5pi6pf6oc6o`6nY7nV7mS7mQ7mRJXRVHRe1Q_4QV6QQ9QLBQG\ DQBGQ6IQ1KP4MP6OP8QPASPCUPEWPGYPI_OLaONcOPeORgOTiO\ VkOXmOZnPXiQWeRUaRTYSRUTQQUNLPLHLIDHG9DD58B1BE5JI8\ QNBYSEeXHlaKofNrkQupTxtWzxZxtYvqYsmYqjYnfYlcYj_YhX\ YfTYdQYbMY`JYbMWdOVeQUgTThVSjXRk_QmaPncOpfNqhMsjLt\ mKvoJwqIvpLuoNunPtmRsmTslVrkXqjZqi`pibohdogfnfhmej\ mellaklYjkUikQhjMhjIgiEfiAei7egAafDZeGWdJTbMPaPM`R\ J_UGYXCX_9Wb6Ve3Ug0Wf1Xf2Ze3_e4ad5bd6cd7ec8fc9hbAi\ bBkaClaDmaDsdCyfBteEpeHkdKgdMbcPZcSUbVQbXLa_HabDad\ HcaLdZPeWTgTXhQ`iNdkKhlHkmFB4PHAQNGQTLQZRQcWQeVKhV\ DjU7lU1ciAWxJYsH_nGaiFcdDe_CgVBiQAkL8mG7oB6q75tCMw\ HbvIevIgvIivIkvImvIovIqZJ8YOAXTBWXCVaDUeETjFSnGRsH\ RwILhDFV9JZ9Na9Qd9Uh9Yk9`n9dr9hu9kx9luDlsHmqLmoOnm\ SnkWoiZofbpdfpbj_didbgi`e } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Scott D. Boyd" Subject: Re: (fractint) FOTD 01-10-01 (Spectacle [4]) Date: 02 Oct 2001 10:34:30 -0500 On Tuesday 02 October 2001 06:26, you wrote: > From: "Scott D. Boyd" > > The trueth is far simpler... I am the proud owner of a very nice watch. But > unfortunatly it's mechanical. Due to this, the poor device is under the > impression that every single month of the year has 31 days in it. Thus, the > watch believed that Monday was the 31 of September, and thus today is the > 1st of October. > > So I looked at Jim's (very nice) Fractal, checked my watch and thought > "kore, that's bloomin fast!" and proceeded to ask how this was possible. I > have now realised that it is in fact the SECOND day of october today > (aaarrrrggggh!!!!) > Therin lies the answer to one of the mysteries of life, ie: how can an FOTD be generated before it's appointed time.... > How stupid am I? > Right - we won't go there.... Scott Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: John Lewis Subject: (fractint) OT: IDL Date: 02 Oct 2001 18:37:15 +0100 On Tue, 02 Oct 2001 08:56:21 +0000, Andrew Coppin wrote,= wondering about electronic posting dates: [cut] Andrew. "Where the heck IS the I. D. L. anyway???" Several letters before the IDS. [Obscure UK political joke] -- John Lewis, jlewis@clara.net on 10/02/2001 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: RParracho@aol.com Subject: (fractint) Formula file a couple pars Date: 02 Oct 2001 19:06:53 EDT --part1_fd.d00644f.28eba28d_boundary Content-Type: multipart/alternative; boundary="part1_fd.d00644f.28eba28d_alt_boundary" --part1_fd.d00644f.28eba28d_alt_boundary Content-Type: text/plain; charset="US-ASCII" Content-Transfer-Encoding: 7bit i cleaned up some of my formula files and have attached it. most of them are excelent for the evolver. its to bad that no one exchanges formulas and pars any more on the list. tiltawhirl { ; 0:01:18.59 ; Created Oct 02, 2001 by Rui Parracho (c) ; Send comments to rparracho@aol.com ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4 center-mag=0/0/0.6666667 params=0.0184636982329783/-0.3060090945158239 float=y maxiter=500 bailout=256 periodicity=0 rseed=3141 colors=000000<24>nGOpHPrHQ<3>zKU<25>C46A35834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 } fronteira { ; 0:01:02.06 ; Created Oct 02, 2001 by Rui Parracho (c) ; Send comments to rparracho@aol.com ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=Regula_falsi3 center-mag=-0.594679/0.14405/4.901961 params=-0.9143650624103519/-0.163060396130253/-0.108981597338786/0.67094\ 94308297983/0.9063692129276406/-0.7294839320047609 float=y maxiter=500 bailout=256 periodicity=0 rseed=3141 colors=CCCqz0<10>KN0GJ0DF0<3>000<10>6c07g07k0<3>Az0<10>4N03J03F0<3>000<1\ 0>0cM0gO0kQ<3>0zZ<10>0ND0JB0F9<3>000<10>8Wc9Zg9ak<3>Dmz<10>5IN4FJ4CF<3>0\ 00<10>V9cXAg_Bk<3>kFz<10>H6NF5JC4F<3>000<10>c7Xg7_k8b<3>zBo<10>N4JJ4GF3D\ <3>000<10>cMIgOKkQM<3>zYT<10>NCBJA9F87<3>000<9>bY5f`5jd6<3>zr8<8>yN4xJ3x\ F3<3>w00tz0000 } --part1_fd.d00644f.28eba28d_alt_boundary Content-Type: text/html; charset="US-ASCII" Content-Transfer-Encoding: 7bit i cleaned up some of my formula files and have attached it.  most of them are excelent for the evolver.  its to bad that no one exchanges formulas and pars any more on the list.  

tiltawhirl         { ;   0:01:18.59
                    ; Created Oct 02, 2001 by Rui Parracho (c)
                    ; Send comments to rparracho@aol.com
                    ;  Version 2001 Patchlevel 13
 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4
 center-mag=0/0/0.6666667
 params=0.0184636982329783/-0.3060090945158239 float=y maxiter=500
 bailout=256 periodicity=0 rseed=3141
 colors=000000<24>nGOpHPrHQ<3>zKU<25>C46A35834<2>211000000<9>000000000<2>\
 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\
 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000
 }

fronteira          { ;   0:01:02.06
                    ; Created Oct 02, 2001 by Rui Parracho (c)
                    ; Send comments to rparracho@aol.com
                    ;  Version 2001 Patchlevel 13
 reset=2001 type=formula formulafile=rsp.frm
 formulaname=Regula_falsi3 center-mag=-0.594679/0.14405/4.901961
 params=-0.9143650624103519/-0.163060396130253/-0.108981597338786/0.67094\
 94308297983/0.9063692129276406/-0.7294839320047609 float=y
 maxiter=500 bailout=256 periodicity=0 rseed=3141
 colors=CCCqz0<10>KN0GJ0DF0<3>000<10>6c07g07k0<3>Az0<10>4N03J03F0<3>000<1\
 0>0cM0gO0kQ<3>0zZ<10>0ND0JB0F9<3>000<10>8Wc9Zg9ak<3>Dmz<10>5IN4FJ4CF<3>0\
 00<10>V9cXAg_Bk<3>kFz<10>H6NF5JC4F<3>000<10>c7Xg7_k8b<3>zBo<10>N4JJ4GF3D\
 <3>000<10>cMIgOKkQM<3>zYT<10>NCBJA9F87<3>000<9>bY5f`5jd6<3>zr8<8>yN4xJ3x\
 F3<3>w00tz0000
 } --part1_fd.d00644f.28eba28d_alt_boundary-- --part1_fd.d00644f.28eba28d_boundary Content-Type: text/plain; name="Rsp.frm" Content-Transfer-Encoding: quoted-printable Content-Disposition: inline; filename="Rsp.frm" Testing{;Rui Parracho ;periodicity off init: z=3D0 n=3D0 loop: n=3Dn+1 z=3Dz*z+#pixel bailout: (n/|z|)<=3D 512 default: title =3D "Testing" } Scarlotta{;Rui Parracho z=3Dc=3Dpixel, : rz=3Dfn1(z)=20 z=3Dc*((rz)+sin(rz)),=20 cabs(z)<=3D 512} Scarlotta2{;Rui Parracho z=3Dpixel/pi, c=3Dpixel, : rz=3Dc/z, z=3D((rz)+sin(rz)),=20 cabs(z)<=3D 512} Scarlotta3{;Rui Parracho=20 z=3Dpixel/pi, c=3Dpixel, : rz=3Dc/z, z=3D((rz)+sin(rz)),=20 cabs(z/( (sqrt(z*z-1) + z) )) > .5} int700{;Rui Parracho z=3Dpixel, =20 if (|p1|=3D=3D0), r=3D(-3.6,1.1), else, r=3Dp1, endif : oz=3Dz, sz=3Dz-z^3/3+z^5/120, f=3Dz*z*sz, g=3D2*z*(sz)+z^2*(cos(z)), z=3Dz-r*f/g, |(z-oz)| > .0000001} Qubex{;Rui Parracho IF(|p1|=3D=3D0), a=3D(1,0), ELSE, a=3Dp1, ENDIF IF(|p2|=3D=3D0), b=3D(1,0), ELSE, b=3Dp2, ENDIF IF(|p3|=3D=3D0), c=3D(1,0), ELSE, c=3Dp3, ENDIF d=3Dpixel, ad3=3Da/3, bd2=3Db/2, ta=3D2*a z=3D(-b+sqrt(b*b-4*a*c))/ta : z2=3Dz*z, z3=3Dz2*z,=20 z=3Dad3*z3+bd2*z2+c*z+d, |z| <=3D 256} Qubexfix{;Rui Parracho IF(|p1|=3D=3D0), a=3D(3,0), ELSE, a=3Dp1, ENDIF IF(|p2|=3D=3D0), b=3D(2,0), ELSE, b=3Dp2, ENDIF IF(|p3|=3D=3D0), c=3D(1,0), ELSE, c=3Dp3, ENDIF d=3Dpixel, ad3=3Da/3, bd2=3Db/2, ta=3D2*a z=3D(-b+sqrt(b*b-4*a*c))/ta : z2=3Dz*z, z3=3Dz2*z, z=3Dad3*z3+bd2*z2+c*z+d, |z| <=3D 256} cubicQueues{;Rui Parracho IF(|p1|=3D=3D0), a=3D(3,0), ELSE, a=3Dp1, ENDIF IF(|p2|=3D=3D0), b=3D(2,0), ELSE, b=3Dp2, ENDIF IF(|p3|=3D=3D0), c=3D(1,0), ELSE, c=3Dp3, ENDIF d=3Dpixel,=20 z=3D1/3*a+1/3*c+1/3*b+1/3*sqrt(a^2-a*c-a*b+c^2-b*c+b^2) : z=3D(z-a)*(z-b)*(z-c)+d, |z| <=3D 256} Qubexnew{;Rui Parracho IF(|p1|=3D=3D0), a=3D(1,0), ELSE, a=3Dp1, ENDIF IF(|p2|=3D=3D0), b=3D(2,0), ELSE, b=3Dp2, ENDIF IF(|p3|=3D=3D0), c=3Dpixel, ELSE, c=3Dp3, ENDIF z=3D(-a+sqrt(a*a-3*b))/3 : z2=3Dz*z, z3=3Dz2*z, z=3Dz3+a*z2+b*z+c, |z| <=3D 256} Regula_falsi{;Rui Parracho IF(|p1|=3D=3D0), k=3D1, ELSE, k=3Dp1, ENDIF IF(|p2|=3D=3D0), z=3Dpixel, ELSE, z=3Dp1, ENDIF x0=3D(1,1), c=3Dx1=3Dpixel : oz=3Dz, fx0=3Dx0*x0*x0+3*x0*x0+2*x0+c, fx1=3Dx1*x1*x1+3*x1*x1+2*x1+c, z=3Dz-k*(x1-x0)*fx1/(fx1-fx0), x0=3Dx1, x1=3Dz, |z-oz| > .0000001} AutoQuad{;Rui Parracho if (cabs(p1)=3D=3D0), a=3D4, else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3D3, else, b=3Dp2, endif if (cabs(p3)=3D=3D0), c=3D2, else, c=3Dp3, endif d=3Dpixel, z=3D(-b+sqrt(b^2-4*a*c))/a : z2=3Dz*z, z3=3Dz*z2, z4=3Dz3*z z=3D1/4*a*z4+1/3*b*z3+1/2*c*z2+d, cabs(z)<=3D256} newcube{;Rui Parracho if (cabs(p1)=3D=3D0), a=3D1, else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3D1, else, b=3Dp2, endif if (cabs(p3)=3D=3D0), c=3Dpixel, else, c=3Dp3, endif a2=3Da*a, b2=3Db*b, c2=3Dc*c, ab=3Da*b, ac=3Da*c, bc=3Db*c,=20 m=3Da+b+c, n=3Dab+bc+ac, o=3Da*b*c,=20 det=3Dsqrt(a2+b2+c2-10*n), u=3D(det-2*m)/6, v=3D(-det-2*m)/6, if (cabs(u)>cabs(v)),z=3Du, else, z=3Dv, endif : oz=3Dz, z2=3Dz*z, z3=3Dz2*z z=3Dz3+m*z2+n*z+o cabs(z-oz) >=3D .0000001} autosquare{;Rui Parracho if (cabs(p1)=3D=3D0), a=3D1, else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3D1, else, b=3Dp2, endif c=3Dpixel,=20 if (cabs(p3)=3D=3D0), r=3Dp1, else, r=3Dp3, endif g=3Dz=3D(-b)/(2*a) : f=3Da*z*z+b*z+c z=3Dz-r*f/g cabs(z) > .00000000128} marmelo{;Rui Parracho IF(|p1|=3D=3D0), r=3Dpixel, ELSE, r=3Dp1, ENDIF IF(|p2|=3D=3D0), x0=3D(-1,1), ELSE, x0=3Dp2, ENDIF IF(|p3|=3D=3D0), a=3Dreal(pixel), b=3Dimag(pixel),=20 ELSE, a=3Dreal(p3), b=3Dimag(p3), ENDIF z=3Dx1=3Dpixel,=20 amb=3Da-b, apb=3Da+b, tamb=3D2*amb, tapb=3D2*apb : fx0=3Dsin(amb*x0)/tamb-sin(x0*apb)/tapb+pixel, fx1=3Dsin(a*x1)*sin(b*x1), oz=3Dz z=3Dz-r*(x1-x0)*fx1/(fx1-fx0), x2=3Dz, x0=3Dx1, x1=3Dx2 |z-oz|>=3D.0000001} muitomas {;Rui Parracho IF(|p1|=3D=3D0), r=3D1, ELSE, r=3Dp1, ENDIF ;relaxation IF(|p2|=3D=3D0), a=3Dfn1(pixel), ELSE, a=3Dp2, ENDIF=20 IF(|p3|=3D=3D0), b=3Dfn2(pixel), ELSE, b=3Dp2, ENDIF=20 c=3Dfn3(pixel), z=3Dpixel, bail=3D0 p=3D9*a*c-3*b*b, q=3D2*b*b*b-9*a*b*c+27*a*a*pixel : fz0=3D a*z*z*z+b*z*z+c*z+pixel, gz0=3D 3*z*z+2*b*z+c, fz1=3D z*z*z+p*z+q, gz1=3D 3*z*z+p, u=3Dz-r*fz0/gz0, v=3Dz-r*fz1/gz1 if(cabs(u)<=3Dcabs(v)), z=3Dv, else, z=3Du, endif if((cabs(fz0)<=3D.00000001) || (cabs(fz1)<=3D.00000001)), bail=3D1, else, ba= il=3D0, endif bail<1} muitominos {;Rui Parracho IF(|p1|=3D=3D0), r=3D1, ELSE, r=3Dp1, ENDIF ;relaxation IF(|p2|=3D=3D0), a=3Dfn1(pixel), ELSE, a=3Dp2, ENDIF=20 IF(|p3|=3D=3D0), b=3Dfn2(pixel), ELSE, b=3Dp2, ENDIF=20 c=3Dfn3(pixel), z=3Dpixel, bail=3D0, p=3D9*a*c-3*b*b,=20 q=3D2*b*b*b-9*a*b*c+27*a*a : fz0=3D a*z*z*z+b*z*z+c*z+pixel, gz0=3D 3*z*z+2*b*z+c, fz1=3D z*z*z+p*z+q gz1=3D 3*z*z+p, u=3Dz-r*fz0/gz0, v=3Dz-r*fz1/gz1 if(cabs(u)<=3Dcabs(v)), z=3Du, else, z=3Dv, endif if (cabs(u-z)<=3D.00000001), bail=3D1, else, bail=3D0, endif if (cabs(v-z)<=3D.00000001), bail=3D1, else, bail=3D0, endif bail<1} outravez {;Rui Parracho IF(|p1|=3D=3D0), r=3D1, ELSE, r=3Dp1, ENDIF ;relaxation IF(|p2|=3D=3D0), a=3D3, ELSE, a=3Dp2, ENDIF=20 IF(|p3|=3D=3D0), b=3D7, ELSE, b=3Dp3, ENDIF=20 c=3Dpixel, bail=3D0,=20 z=3D(sqrt(4*b*b-12*a*c)-2*b)/6/a, : oz=3Dz, fz=3D a*z*z*z+b*z*z+c*z+pixel, gz=3D 3*z*z+b, z=3Dz-r*fz/gz if(cabs(z-oz) < .0000001), bail=3D1, else, bail=3D0, endif bail<1} ultravez {;Rui Parracho IF(|p1|=3D=3D0), r=3D1, ELSE, r=3Dp1, ENDIF ;relaxation IF(|p2|=3D=3D0), a=3Dfn1(pixel), ELSE, a=3Dp2, ENDIF=20 IF(|p3|=3D=3D0), b=3Dfn2(pixel), ELSE, b=3Dp3, ENDIF=20 c=3Dfn3(pixel), z=3D(sqrt(4*b*b-12*a*c)-2*b)/6/a, bail=3D0, p=3D9*a*c-3*b*b : z0=3Dz, fz0=3D a*z*z*z+b*z*z+c*z+pixel, gz1=3D 3*z*z+p, z=3Dz0-r*fz0/gz1 if(cabs(z-z0) < .0001), bail=3D1, else, bail=3D0, endif bail<1} volvox{;Rui Parracho z=3Dc=3Dpixel, x=3Dy=3D0, IF(|p1|=3D=3D0), d=3D1, ELSE, d=3Dp1, ENDIF : z=3Dz*z+c, x=3Dreal(z),y=3Dimag(z) cabs(2*x*x+5*y*y-8*x+10*y+3) <=3D d*cabs(x*x-7*y*y+6*x+28*y-33)} valoil{;Rui Parracho IF(|p1|=3D=3D0), z=3Dpixel, ELSE, z=3Dp1, Endif c=3Dpixel=20 : z=3Dc*((z-1/z)*log(z)-z+log(2*pi)/2) |z|<=3D 1256} maisominos {;Rui Parracho IF(|p1|=3D=3D0), r=3D1, ELSE, r=3Dp1, ENDIF ;relaxation IF(|p2|=3D=3D0), a=3Dfn1(pixel), ELSE, a=3Dp2, ENDIF=20 IF(|p3|=3D=3D0), b=3Dfn2(pixel), ELSE, b=3Dp3, ENDIF=20 c=3Dfn3(pixel), z=3Dpixel, bail=3D0 : fz0=3D z*z*z+a*z*z+b*z+c, gz0=3D 3*z*z+2*a*z+b*fn4(z) z=3Dz-r*fz0/gz0 if( (cabs(fz0)<=3D.00000001) ), bail=3D1, else, bail=3D0, endif bail<1} Beliza {;Rui Parracho IF(|p1|=3D=3D0), c=3Dpixel, ELSE, c=3Dp1, ENDIF =20 IF(|p2|=3D=3D0), z=3Dpixel, ELSE, z=3Dp2, ENDIF bail=3D0, a=3Dc*5/8, ta=3D2*a, b=3Dc*35/16, fb=3D4*b : z=3D a*sin(2*z)+b*sin(4*z), if( (cabs(z)>256) ), bail=3D1, else, bail=3D0, endif bail<1} int08{;Rui Parracho z=3Dpixel IF(|p1|=3D=3D0), r=3D1.7, ELSE, r=3Dp1, ENDIF =20 : oz=3Dz, z2=3Dz*z, z3=3Dz2*z, f=3Dlog(z3), g=3D3*z2/(z3), z=3Dz-r*f/g cabs(z-oz) > .00000001} int269{;Rui Parracho z=3Dpixel, if (cabs(p1)=3D=3D0), k=3D2.9, else, k=3D(p1), endif : oz=3Dz, f=3D.5*(sin(z))^2,=20 g=3Dsin(z)*cos(z), z=3Dz-k*f/g cabs(z-oz)> .00000001} int253{;Rui Parracho z=3Dpixel,=20 if (cabs(p1)=3D=3D0), r=3D1, else, r=3D(p1), endif : oz=3Dz f=3D.125*z-.25*sin(2*z)+.03125*sin(4*z) sz=3Dsin(z), g=3Dsz*sz*sz*sz, z=3Dz-r*f/g cabs(z-oz)> .00000001} int252{;Rui Parracho=20 z=3Dpixel,oz=3D0=20 if (cabs(p1)=3D=3D0), t=3D1, else, t=3D(p1), endif if (cabs(p2)=3D=3D0), r=3D3, else, r=3D(p2), endif if (cabs(p3)=3D=3D0), s=3D5, else, s=3D(p1), endif rms=3Dr-s, rps=3Dr+s, trms=3D2*rms, trps=3D2*rps : oz=3Dz f=3Dsin(rms*z)/trms-sin(rps*z)/trps, g=3Dsin(r*z)*sin(s*z), z=3Dz-t*f/g, cabs(z-oz) > .00000001} int304{;Rui Parracho z=3Dc=3Dpixel,=20 if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif : oz=3Dz, z2=3Dz*z, z3=3Dz2*z f=3D(3*z2-6)*cos(z)+(z3-6*z)*sin(z)+c g=3Dz3*cos(z), z=3Dz-k*f/g, cabs(z-oz) > .00000001} int303{;Rui Parracho z=3Dc=3Dpixel if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif : oz=3Dz, z2=3Dz*z f=3D2*z*cos(z)+(z2-2)*sin(z)+c, g=3Dz2*cos(z), z=3Dz-k*f/g cabs(z-oz) > .00000001} int273{;Rui Parracho z=3Dpixel if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif if (cabs(p2)=3D=3D0), m=3D.75, else, m=3D(p2), endif mp1=3Dm+1 : oz=3Dz, f=3D(sin(z))^mp1/(mp1) g=3Dcos(z)*(sin(z))^m, z=3Dz-k*f/g cabs(z-oz) > .00000001} rsp_0300w1{;Rui Parracho if (cabs(p2)=3D=3D0), c=3Dpixel, else, c=3Dp2, endif tc=3D2*c, c2=3Dc*c, tc3=3D2*c*c2, ttc=3D2*tc if (|p1|=3D=3D0), r1=3D1.5, else, r1=3Dp1, endif, if (|p2|=3D=3D0), r2=3D1.05, else, r2=3Dp2, endif, if (whitesq), r=3Dr1, else, r=3Dr2, endif z=3Dpixel, oz=3D0 : z2=3Dz*z, z3=3Dz*z2, fz=3Dz3-c2*z-tc*z2-tc3, gz=3D3*z2-c2-ttc*z, oz=3Dz, z=3Dz-r*fz/gz, cabs(oz-z) > .0000001} rsp_0300w2{;Rui Parracho if (cabs(p1)=3D=3D0), c=3Dpixel, else, c=3Dp1, endif if (cabs(p2)=3D=3D0),r1=3D(1,0), else, r1=3Dp2, endif if (cabs(p3)=3D=3D0),r2=3D(1.1,0), else, r2=3Dp3, endif tc=3D2*c, c2=3Dc*c, tc3=3D2*c*c2, ttc=3D2*tc if (whitesq), r=3Dr1, else, r=3Dr2, endif z=3Dpixel : z2=3Dz*z, z3=3Dz*z2, fz=3Dz3+c2*z+tc*z2+tc3,=20 gz=3D3*z2+c2/z+ttc*z, z=3Dz-r*fz/gz,=20 cabs(fz) > .00000001} rsp_0300w3{;Rui Parracho Julias of newton if (cabs(p1)=3D=3D0), c=3Dpixel, else, c=3Dp1, endif if (cabs(p2)=3D=3D0), r=3D(1.0,0.0), else, r=3Dp2, endif z=3Dpixel : z2=3Dz*z, z3=3Dz*z2, fz=3Dz3+z+c, gz=3D3*z2, z=3Dz-r*fz/gz, cabs(fz) > .000000001 } rsp_0400w1{;Rui Parracho if (cabs(p1)=3D=3D0), r=3D1, else, r=3Dp1, endif c=3Dpixel if (cabs(p2)=3D=3D0), a=3D(1.0,1.0), else, a=3Dp2, endif if (cabs(p3)=3D=3D0), b=3D(-1.0,-1.0), else, b=3Dp3, endif f=3Da+b+c, g=3Da*b+b*c+c*a, h=3Da*b*c z=3Dpixel;r*(c*c*c+f*c*c+g*c+h)/(3*c*c+2*f*c+g) : z2=3Dz*z, z3=3Dz*z2, fz=3Dz3+f*z2+g*z+h, gz=3D3*z2+2*f*z+g, z=3D(z-r*fz/gz)*(z-r*fz/gz)+c, cabs(fz)/.0000001 > 1 } rsp04w01{;Rui Parracho=20 c=3Dpixel if (cabs(p1)=3D=3D0), r=3D1, else, r=3Dp1, endif if (cabs(p2)=3D=3D0), z=3D(1.0,1.0), else, z=3Dp2, endif if (real(p3)=3D=3D0), m=3D(4.0,1.0), else, m=3Dreal(p2), endif m=3Dp2, mp1=3Dm+1, imp1=3D1/mp1 : f=3Dimp1*sin(z)^mp1, g=3Dcos(z)*(sin(z))^m rfg=3Dr*f/g, z2=3Dz*z, z=3Dsqr(z-rfg)+c cabs(f) > .00000001} rsp04w03{;Rui Parracho=20 ;periodicity off if (cabs(p1)=3D=3D0), r=3D1, else, r=3Dp1, endif if (cabs(p2)=3D=3D0), z=3Dpi/2, else, z=3Dp2, endif c=3Dpixel, : z2=3Dz*z, f=3Dz2*(z2*(z2+1)+1)+c, g=3D2*z*(z2*(3*z2)+1), z=3Dz-r*f/g cabs(f) > .00000001} rsp_04w5{;Rui Parracho=20 c=3Dpixel if (cabs(p2)=3D=3D0), a=3D(1.0,1.0), else, a=3Dp2, endif if (cabs(p3)=3D=3D0), b=3D(-1.0,-1.0), else, b=3Dp3, endif f=3Da+b+c, g=3Da*b+b*c+c*a, h=3Da*b*c, z=3D-c/g : z2=3Dz*z, z3=3Dz2*z, ot=3Dt t=3D3*z2+2*f*z+g, z=3D-(h+f*z2+z3)/g, |t-ot|>.000001 } rsp_04w6{;Rui Parracho c=3Dpixel if (cabs(p2)=3D=3D0), a=3D(1.0,1.0), else, a=3Dp2, endif if (cabs(p3)=3D=3D0), b=3D(-1.0,-1.0), else, b=3Dp3, endif f=3Da+b+c, g=3Da*b+b*c+c*a, h=3Da*b*c, z=3Dc/h : z2=3Dz*z, z3=3Dz2*z, z=3D-(h+f*z2+z3)/g, |z| < 256 } algria{;Rui Parracho ;makes little circlws kind of dull z=3Dc=3Dpixel : z2=3Dz*z, z3=3Dz*z*z, z=3Dz3+z2+z+c, t=3Dreal(2-(2*z+1)/(3*z2+2*z+1)) 1+t >=3D p1 } algrib{;Rui Parracho z=3Dc=3Dpixel r=3Dcabs(z) : oz=3Dz, z2=3Dz*z, z3=3Dz*z2 f=3Dz3+z2+z+c, g=3D3*z2+2*z+1, h=3D6*z+2, z=3Dz-f/(g)-p1*(g/(h)) |z-oz| > .0000001} Regula_falsi2{;Rui Parracho IF(|p1|=3D=3D0), r=3D1.65, ELSE, r=3Dp1, ENDIF IF(|p2|=3D=3D0), z=3Dpixel, ELSE, z=3Dp2, ENDIF x0=3D(1,1), x1=3Dpixel, oz=3D0 : fx0=3Dx0*x0+pixel, fx1=3Dx1*x1+pixel, oz=3Dz, z=3Dz-r*(x1-x0)*fx1/(fx1-fx0), x0=3Dx1, x1=3Dz cabs(z-oz) > .0000001} Regula_falsi3 {;Rui Parracho IF(|p1|=3D=3D0), r=3D1.65, ELSE, r=3Dp1, ENDIF IF(|p2|=3D=3D0), z=3Dpixel, ELSE, z=3Dp2, ENDIF IF(real(p3)=3D=3D0), a=3D5, ELSE, a=3Dreal(p3), ENDIF IF(imag(p3)=3D=3D0), b=3D3, ELSE, b=3Dimag(p3), ENDIF x0=3D(-1,1), x1=3Dpixel amb=3Da-b, apb=3Da+b, damb=3Damb*2, dapb=3Dapb*2 : fx0=3Dsin(amb*x)/damb-sin(x0*apb)/dapb+pixel, fx1=3Dsin(a*x1)*sin(b*x1), oz=3Dz, z=3Dz-r*(x1-x0)*fx1/(fx1-fx0), x0=3Dx1, x1=3Dz |z-oz|>.0000001} Newt_01 {;Rui Parracho z=3Dpixel, if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif if (real(p2)=3D=3D0), a=3D4, else, a=3Dreal(p2), endif if (imag(p2)=3D=3D0), b=3D3, else, b=3Dimag(p2), endif amb=3Da-b, apb=3Da+b, damb=3Damb*2, dapb=3Dapb*2 : f=3Dsin(amb*z)/damb-sin(z*apb)/dapb, g=3Dsin(a*z)*sin(b*z), oz=3Dz, z=3Dz-k*f/g, |z-oz|>=3D.0000001} Newt_02 {;Rui Parracho z=3Dpixel, if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif if (real(p2)=3D=3D0), a=3D4, else, a=3Dreal(p2), endif if (imag(p2)=3D=3D0), b=3D3, else, b=3Dimag(p2), endif amb=3Da-b, apb=3Da+b, damb=3Damb*2, dapb=3Dapb*2 : f=3Dsin(amb*z)/damb-sin(z*apb)/dapb+pixel, sinaz=3Dsin(a*z), sinbz=3Dsin(b*z) g=3Dsinaz*sinbz, h=3Db*sinaz*cos(b*z)+a*sinbz*cos(a*z) oz=3Dz, z=3Dz-k*(g/h+((g/h)^2-2*f/h)), |z-oz|>0.0000001} rsp_halley001 {;Rui Parracho z=3Dc=3Dpixel, d=3D3*pixel, z2=3Dz3=3Df=3Dg=3Dh=3Doz=3D0 if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif : z2=3Dz*z, z3=3Dz*z2+c, f=3Dz3*(c+z2) g=3Dz2*(d+5*z2), h=3D2*z*(d+10*z2) oz=3Dz, z=3Dz-k*f/(g+.5*h*(z-oz)) (|z-oz|)> 0.0000001} rsp_halley002 {;Rui Parracho z=3D10000*exp(|pixel|) c=3Dpixel, d=3D3*pixel, oz=3D0, if (cabs(p1)=3D=3D0), r=3D1.5, else, r=3D(p1), endif : z2=3Dz*z, z3=3Dz*z2, f=3Dz3*(c+z2)+c g=3Dz2*(d+5*z2), h=3D2*z*(d+10*z2) oz=3Dz, z=3Dz-r*2*f*g/(2*g*g-f*h) |oz-z|>0.000000001} rsp_ruif1{;Rui Parracho z=3D100*pixel,d=3D3*pixel c=3Dpixel,p=3D6*c, q=3D11*c*c, r=3Dp*c*c, s=3D2*p,=20 if (cabs(p1)=3D=3D0), w=3D1.5, else, w=3D(p1), endif : z2=3Dz*z, z3=3Dz*z2, f=3Dz3+p*z2+q*z+r+d g=3D3*z2+s*z+q, h=3D6*z+s, oz=3Dz z=3Dz-w*2*f*g/(2*g*g-f*h) |oz-z|>0.0000001} rsp_ruif2{;Rui Parracho z=3D0, c=3Dpixel, m=3D6*c, n=3D11*c*c, o=3Dm*c*c,=20 p=3D2*m, d=3D3*pixel, oz=3D0 if (cabs(p1)=3D=3D0), r=3D1.5, else, r=3D(p1), endif : oz=3Dz, z2=3Dz*z, z3=3Dz*z2, f=3Dz3+m*z2+n*z+o+d g=3D3*z2+p*z+n, z=3Dz-r*f/g |z-oz|>0.0000001} rsp_0300h2{;Rui Parracho z=3D100000*pixel, c=3Dpixel,p=3D6*c,=20 q=3D11*c*c, r=3Dp*c*c, s=3D2*p,=20 if (cabs(p1)=3D=3D0), r=3D1, else, r=3D(p1), endif : z2=3Dz*z, z3=3Dz*z2 f=3Dz3+p*z2+q*z+r/z g=3D3*z2+s*z+q oz=3Dz, z=3Dz-r*f/g |oz-z|>0.0000001} rsp_0300h3{;Rui Parracho z=3D10000*pixel, c=3Dpixel,p=3D6*c,=20 q=3D11*c*c, r=3Dp*c*c, s=3D2*p,=20 if (cabs(p1)=3D=3D0), r=3D(.5375,-0.7875), else, r=3D(p1), endif if (cabs(p2)=3D=3D0), s=3D(.3375,-0.10625), else, s=3D(p2), endif : z2=3Dz*z, z3=3Dz*z2 f=3Dz3+p*z2+q*z+r/z g=3D3*z2+s*z+q, h=3D6*z+s oz=3Dz, z=3Dz-r*f/g-s*g/h |z-oz|>0.0000001} rsp_regfal1{;Rui Parracho z=3Dw=3Dc=3Da=3Dpixel, n=3Dcabs(pixel) b=3Dfb=3D0, fa=3Da*a*a+a*a+a tv=3D.00000001 : z=3Dz-(a*fb-b*fa)/(fb-fa) w=3Dw*w*w+w*w+c, test=3Dreal(fa)*real(w) if(test.0000001 } rsp_0300h4{;Rui Parracho z=3Dflip(pixel), if (cabs(p1)=3D=3D0), r=3D(2.0,0.07), else, r=3D(p1), endif : fz=3Dz/(1+z*z), gz=3D(1-z*z)/(1+z*z)^2 z=3Dz-r*fz/gz cabs(gz)>.000000001 } rsp_0300h5{;Rui Parracho z=3Dc=3Dpixel if (|p1|=3D=3D0), r=3D(2.0,0.2), else, r=3Dp1, endif, : fz=3Dz/(c+z*z), gz=3D(c-z*z)/(c+z*z)^2 z=3Dz-r*fz/gz cabs(fz)>.000001} rsp_0400h1{;Rui Parracho z=3Dc=3Dpixel : x=3Dreal(z), x2=3Dx*x,x3=3Dx2*x y=3Dflip(imag(z)), y2=3Dy*y, y3=3Dy2*y z=3Dx*(x3+3*x2*y+3*x*y2+y^3)+c |z|<256} =20 rsp_04w4h1{;Rui Parracho if (cabs(p1)=3D=3D0), c=3Dpixel, else, c=3Dp1, endif z=3Dpixel : z2=3Dz*z, z3=3Dz2*z, dz=3Dz*cos(z)+sin(z)+3*z2, =20 z=3D-z3/sin(c*z), cabs(dz) > .000000001 } rsp_04w4h2{;Rui Parracho if (cabs(p1)=3D=3D0), c=3Dpixel, else, c=3Dp1, endif if (cabs(p2)=3D=3D0), z=3Dpixel, else, z=3Dp2, endif t=3D0 : z2=3Dz*z+c, z3=3Dz2*z, ot=3Dt t=3D6-4*z-20*z3, z=3Dc-1/(6-2*z-5*z3), |t-ot| > .000000001} rsp_05h01{;rui parracho =20 if (cabs(p1)=3D=3D0), p=3Dpixel, else, p=3Dp1, endif if (cabs(p2)=3D=3D0), a=3Dpixel, else, a=3Dp2, endif if (cabs(p3)=3D=3D0), b=3Dpixel, else, b=3Dp3, endif ps=3Dp*p, a2=3Da*a, b2=3Db*b, z=3Dc=3Dpixel : oz=3Dz, x=3Dreal(z), y=3Dimag(z), uz=3Dx*y*ps+(x*x-y*y-b2)*p-x*y vz=3D(x*x-a2)*ps-2*x*y*p-x*x z=3D(uz+flip(vz))-c |z-oz|>.000000064 } rsp_05h02{;rui parracho=20 c=3Dpixel if (cabs(p1)=3D=3D0), a=3Dpixel, else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3Dpixel, else, b=3Dp2, endif k=3Da+b+c, l=3Da*b+a*c+b*c, m=3Da*b*c z=3D(sqrt(k*k-12*l)-k)/6 : oz=3Dz, z2=3Dz*z, z=3Dz*c+(k+l/z+m/z2) |z|<=3D1280 } rsp_05h03{;Rui Parracho if (cabs(p1)=3D=3D0), z=3D-.5993, else, z=3Dp1*pixel, endif if (cabs(p2)=3D=3D0), c=3Dpixel, else, c=3Dp2, endif : z2=3Dz*z, z3=3Dz2*z, z=3D-z3/sin(c*z), dz=3Dz*cos(z)+sin(z)+3*z*z, =20 cabs(dz) > .000000001 } rsp_05h04{;Rui Parracho=20 z=3Dc=3Dpixel, oz=3Dbail=3D0 if (cabs(p1)=3D=3D0), n=3D1.01, else, n=3Dp1, endif : oz=3Dz, z=3Dz*z+c if( cabs(z-oz)>.00001 ), c=3Dc*n, else, c=3Dc/n, endif if( cabs(z-oz) < .0000001 ), bail=3D1, endif if( cabs(z)>=3D64), bail=3D1, endif bail=3D=3D0 } rsp_05h05{;Rui Parracho z=3Dw=3Dv=3Dpixel if (cabs(p2)=3D=3D0), u=3Dpixel, else, u=3Dp2, endif if (cabs(p1)=3D=3D0), y=3D1.2, else, y=3D(p1), endif, k=3Du+v+w, l=3Du*v+u*w+v*w, fz=3D(sqrt(k*k-12*l)-k)/6 sz=3Dfz*fz*fz+u*fz*fz+v*fz+w tz=3Dsz*sz*sz+u*sz*sz+v*sz+w : q=3D(tz-sz)/cabs(sz-fz),=20 q2=3Dq*q, a=3Dq*tz+(q+q2)*sz+q2*fz b=3D(2*q+1)*tz+(1+2*q+q2)*sz+q2*fz c=3D(q+1)*sz, oz=3Dz, detm=3Dy*(b-sqrt(b*b-4*a*c)), detp=3Dy*(b+sqrt(b*b+4*a*c)), if(cabs(detp)>cabs(detm)), r=3Ddetm, else, r=3Ddetp, endif z=3Dz-(tz-sz)*2*c/r, fz=3Dsz, sz=3Dtz,=20 tz=3Dtz*tz*tz+u*tz*tz+v*tz+w |z-oz|> .000000001 } Autocube{;rui parracho if (cabs(p1)=3D=3D0), m=3D3*pixel, else, m=3Dp1, endif if (cabs(p2)=3D=3D0), n=3D2*pixel, else, n=3Dp1, endif p=3Dpixel, a=3Dm+n+p, b=3Dm*n+p*m+p*n, c=3Dm*n*p r1=3D(a+sqrt(m*m+n*n+p*p-b))/3 r2=3D(a-sqrt(m*m+n*n+p*p-b))/3 if (cabs(r1) < cabs(r2)), z=3Dr1, else, z=3Dr2, endif : z2=3Dz*z, z3=3Dz*z2, z=3Dz3+a*z2+b*z+c cabs(z)<=3D256 } rsp_0711h1{ if (cabs(p1)=3D=3D0), n=3D8, else, n=3D(round(cabs(p1))), endif ;points on s= tar nm1=3Dn-1, nm2=3Dn-2, a=3Dn*nm1,=20 if (cabs(p2)=3D=3D0), c=3Dpixel, else, c=3Dp2, endif ;slices with high p1 if (cabs(p3)=3D=3D0), r=3D1.5, else, r=3Dp3, endif ; looked good with 1.0 z=3Dpixel, oz=3Df=3Df1=3Df2=3D0 : oz=3Dz, f=3Dz^n-z-c, f1=3Dn*z^nm1-1, f2=3Da*z^nm2 z=3Dz-r*(2*f/f1)/(1+sqrt(1-2*f*f2/f1/f1)) CABS(z-oz)>.0000001 } Schwartian{;Rui Parracho z=3Dc=3Dpixel if (cabs(p1)=3D=3D0), r=3D1, else, r=3D(p1), endif if (cabs(p2)=3D=3D0), k=3D1, else, k=3D(p2), endif if (cabs(p3)=3D=3D0), test=3D4, else, test=3D(p3), endif : f=3Dz*z*z+fn1(z),=20 g=3D3*z*z+fn2(z), h=3D6*z+c z=3Dz-r*(k/g-3*h*h/2/g/g)/f cabs(z)< test } Weier{;Rui Parracho if (cabs(p1)=3D=3D0), k=3D1, else, k=3D(p1), endif z=3Dc=3Dpixel : z=3Dz*z+c Sin(z*flip(1))/(Exp(2*z+1))<=3Dk } Weiers{;Rui Parracho z=3Dc=3Dpixel : fz=3Dfn1(2*z), z=3D1-fn1(z*z+c) cabs(fz/(1+z)) > cabs(fz)/c } Cubix{;Rui Parracho d=3Dpixel if (cabs(p1)=3D=3D0), a=3D(1,2), else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3D(3,1), else, b=3Dp2, endif if (cabs(p3)=3D=3D0), c=3D(1,-1), else, c=3Dp3, endif zp=3D(sqrt(b*b-3*a*c)-b)/3/a ;zn=3D(sqrt(-b*b-3*a*c)-b)/3/a ;if (cabs(zp) < cabs(zn)), z=3Dzn, else, z=3Dzp, endif z=3Dzp : z2=3Dz*z, z3=3Dz*z2 z=3Da*z3+b*z2+c*z+d cabs(z)<=3D256 } Cubix1{;Rui Parracho if (cabs(p1)=3D=3D0), a=3D(1,2), else, a=3Dp1, endif if (cabs(p2)=3D=3D0), b=3D(3,1), else, b=3Dp2, endif c=3Dpixel sumc=3Da+b+c, sumcs=3Da*a+b*b+c*c, sump=3Da*b+a*c+b*c zp=3D(-sumc+sqrt(sumcs-sump))/3 zn=3D(-sumc-sqrt(sumcs-sump))/3 If (cabs(zp) < cabs(zn)), z=3Dzp, else, z=3Dzn, endif : z=3D(z+a)*(z+b)*(z+c) cabs(z)<=3D256 } --part1_fd.d00644f.28eba28d_boundary-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jonathan Osuch" Subject: Re: (fractint) Fractint version 20.2.0 Date: 02 Oct 2001 18:31:33 -0500 Bud, >>Added a logmode=auto command line option that causes the >>logmap to adjust automatically when zooming. >Cool! Could it also be done via the "x" menu? Or am I confusing >logmode and logmap? Logmode and logmap are related. I would have liked to been able to add this feature to the logmap selections on the "x" menu, but that would have involved changing the data type for the logmap screen prompt. I'm not inclined to do that at this point. Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: bmc1@airmail.net Subject: Re: (fractint) FOTD 02-10-01 (Run for Cover [7]) Date: 03 Oct 2001 01:38:50 -0500 Fractaliers -

Sorry for the OT, but I can't deal w/ Philofractal Disc Grp in its entirety yet.

Just wondering whether anyone else out there has had a look yet at (and comment re) Wolframs' latest 12-lb, 992-pg, "baby" called "A New Kind of Science" ?

I quote briefly from the self-promotional blurb on amazon.com's site:

    This long-awaited work from one of the world's most respected scientists presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe.
    Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.
    Written with exceptional clarity, and illustrated by more than a thousand original pictures, this seminal book allows scientists and non-scientists alike to participate in what promises to be a major intellectual revolution.

Is this just a touch over the top?????
 

D. Freed
 

Jim Muth wrote:

FOTD -- October 02, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Today's image has been named "Run for Cover".  Given the world
situation, such a name would appear to have a deep psychological
significance.  And perhaps it does.  The name came to me when I
put my mind into idle.  (An easy task.)  It came of its own
accord, like an image in an inkblot.  The image's slightly
sinister aura would seem to reinforce the psychological origin
of the name.

The formula behind the image subtracts some 1/Z from some Z, and
creates a curiously distorted Mandeloid that is extremely
sensitive to the value of the real(p3) parameter, being ready to
expand to infinity or shrink to nothing at the slightest change
of that parameter.

Despite its ominous overtones, today's image rates a 7.  It's
also a fast image, taking only 2 minutes on a worn-out old
Pentium 200mhz machine.  The GIF image can also be seen by
downloading it from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today (Monday the 1st) was cloudy and cool,
not the best conditions to make fractal cats happy, but the cats
found what happiness they could, sleeping on the porch in the
warmth of the little bit of sunlight filtering through the
clouds.  The temperature of 66F 19C was somewhat below average.

There's so much activity on the philofractal list that I must
take a day or two to digest it before offering more philosophy.
And I must also keep the discussion from wandering totally away
from the topic of fractals.  Look for more wisdom, possibly as
soon as the next FOTD.

For now, I've got a day's work to finish and a couple annoying
cats to feed.  Until next time, take care, and a diet of
fractals can really make those pounds and inches disappear.

Jim Muth
jamth@mindspring.com

START 20.0 PAR-FORMULA FILE================================

Run_for_Cover      { ; time=0:02:26.32--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.02829866980610058/-0.064453758425730\
  76/1.908413e+007/1/177.499999994679371/5.664339275\
  4018862e-009 params=-1/-1/1/1/-2.1/800 float=y
  maxiter=1200 inside=0 outside=summ
  colors=000oZctXayV_uTXrSUnRRkQOgOLdNI`MFYLCUJ9RI6N\
  H3KG1NF6QEATDEWCIZBMaAQd9Vg8Zj7bm6fp5js4nu4rr5qo5q\
  l5pi6pf6oc6o`6nY7nV7mS7mQ7mRJXRVHRe1Q_4QV6QQ9QLBQG\
  DQBGQ6IQ1KP4MP6OP8QPASPCUPEWPGYPI_OLaONcOPeORgOTiO\
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  mellaklYjkUikQhjMhjIgiEfiAei7egAafDZeGWdJTbMPaPM`R\
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  bBkaClaDmaDsdCyfBteEpeHkdKgdMbcPZcSUbVQbXLa_HabDad\
  HcaLdZPeWTgTXhQ`iNdkKhlHkmFB4PHAQNGQTLQZRQcWQeVKhV\
  DjU7lU1ciAWxJYsH_nGaiFcdDe_CgVBiQAkL8mG7oB6q75tCMw\
  HbvIevIgvIivIkvImvIovIqZJ8YOAXTBWXCVaDUeETjFSnGRsH\
  RwILhDFV9JZ9Na9Qd9Uh9Yk9`n9dr9hu9kx9luDlsHmqLmoOnm\
  SnkWoiZofbpdfpbj_didbgi`e
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================

--------------------------------------------------------------
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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: kelly christiansen Subject: Re: (fractint) FOTD 02-10-01 (Run for Cover [7]) Date: 03 Oct 2001 06:04:36 -0700 (PDT)

Is this just a touch over the top????? sounds like standard marketing Hype to me. ===== ****************************************************************** Fractal resources available at http://cyberwizards.com/~hub/fractal To subscribe to fractaltalk, send a message to listar@wru.org with"subscribe fractaltalk" in the body. To unsubscribe from fractaltalk, send a message to listar@wru.org with"unsubscribe fractaltalk" in the body. ****************************************************************** __________________________________________________ Do You Yahoo!? Listen to your Yahoo! Mail messages from any phone. http://phone.yahoo.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 03-10-01 (Pi in the Sky [5]) Date: 03 Oct 2001 10:56:22 EDT FOTD -- October 03, 2001 (Rating 5) Fractal visionaries and enthusiasts: There is a 'zexpe' fractal -- the fractal formed by the formula Z^2.7182...+C, and named by Lee Skinner. Now we have a 'zexpi' fractal, which naturally is formed by the formula Z^3.1416...+C. Like all fractals created from fractional powers of Z, the zexpi fractal is infinite in surface extent as well as depth. The MandelbrotBC1 Fractint formula can explore the more remote parts of the infinite surface extent of these fractional fractals. Setting the real(p2) parameter to the number pi, causes the formula to draw 'ground level', but who wants to sit at ground level when there are limitless heights to scale? For today's fractal I went up 189 floors from ground level, until I found a level where the zexpi fractal really does things. The midget at the center of today's image lies in the suburbs of a larger midget, which lies in the suburbs of a still larger midget, and so on about 6 times, until we reach a midget that lies in an area of chaos on the northwest shore of the main bay of the parent fractal, which is the one mentioned above, that really does things. I named the image "Pi in the Sky" not in mockery of religious beliefs, but rather because it is an accurate description of the image and its location in relation to the entire infinite fractal. The rating of the image is not quite as high as its location, but with a rating of 5 the image is worth the effort of running the parameter file, or the lesser effort of downloading the image from: or from: The fractal weather today featured a big warm-up, with brilliant sunshine and a temperature of 77F 25C. The fractal cats took up residence on the porch before lunch time, and stayed there until near sunset. That's it for now, fractal fans. Until next time, take care, and we don't even know what we don't know. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Pi_in_the_Sky { ; time=0:17:28.25--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.89071956777594660/+0.395577680067524\ 30/1.086197e+012/1/45.000916072899642/-0.007023192\ 99345871562 params=3.14159265358979/0/189/0 float=y maxiter=3600 inside=0 logmap=518 colors=000jCZlFXmHUoKSqNQrPNtSLvVJwXGy_EzaCw_BuYBs\ WBqUAoSAmQAjO9hM9fK9dI8bG8`E8ZD8XG7VI7TK7RM7PO7NQ7\ LS7JU7HW7FY7D_7Ba79c77e75g74i75kD6lI7mO8nT9oZApcBq\ iBrnEkhGdcIZZKSTMLOOFJPJMQMOQPQRSTRVVSYXS`ZTdaTgcU\ jeUmgVpjVslWvnWypVxoUwoUwnTvnSumSumRtlQslQskPrkOqj\ OqjNpiOoiQoiSglU`nWTqYMs_Eva7xc0ze1yg1xi1wk1wl1vm1\ un1to1tp1sq1rr1qs1qt2su3tv4uw5vx6wy7xz8yg2Mh7LhBKh\ GKhKJiPIiTIiYHiaHfbIdbIbcI`cIYcIWdIUdISdITaMTZQTWU\ TTYUQaUNeUKiUHmTGnSGoRGpQGqPGrOGsNGtMGuLGvKGwKGxJF\ wJFwIEwIEwIEvHDvHDvHDvGBpG9jG7dG5ZG3UI5VK6VL8WN9WO\ AWQCXRDXTEXVGYWHYYIYZKZ`LZaMZdLbfKehJhjIklHnoKeqNY\ tQPvSHPhZVk_`n_fq_lt`rw`xy`wtZwpYvkXvgVubUuWTtSRtR\ QsSPsTNrUMrVLqWMpXNoYOnZPn_Qm`RlaSkbTkcUjeVigWhiXh\ kYom_vo`wqPysDzu1ww2ux2ry2pz3mz3kz3iz4fz4dz4az5_z5\ Yz5Zz9_zD`zHazLbzPczTdzXez`fzdgzhgzkeziczhbzf`ze_z\ cYzbXz`Vz_TzZSzXSzL`zUhza } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| Subject: (fractint) Re: FOTD 03-10-01 (Pi in the Sky [5]) Date: 03 Oct 2001 12:25:39 -0500 JimMuth@aol.com wrote today: > > FOTD -- October 03, 2001 (Rating 5) > ....MandelbrotBC1 Fractint formula.... > I named the image "Pi in the Sky".... > > START 20.0 PAR-FORMULA FILE================================ > > Pi_in_the_Sky { ; time=0:17:28.25--SF5 on a P200 > reset=2002 type=formula formulafile=allinone.frm > formulaname=MandelbrotBC1 function=floor passes=1 > JimMuth@aol.com wrote a few months ago: > > Classic FOTD -- April 19, 2001 (Rating 6) > ....rendered by Andrew's MandelbrotBC formula. > ....and named it "Pi in the Sky". > > START 20.0 PAR-FORMULA FILE================================ > > Pi_in_the_Sky { ; time=0:04:37.66--SF5 on a p200 > reset=2001 type=formula formulafile=branchct.frm > formulaname=MandelbrotBC passes=1 > You may wish to name today's PAR with at least a #2. :-) Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 04-10-01 (Tinseled Minibrot [6]) Date: 04 Oct 2001 11:11:44 EDT FOTD -- October 04, 2001 (Rating 6) Fractal visionaries and enthusiasts: Just a quick comment today, since I'm late and there's a lot of work to be done. The iterated formula adds some Z^(1.1) to some Z^(-0.9) and then adds 1/C. The result is a grossly distorted Mandeloid, with a large two-lobed bay and a main bud so shrunken as to be virtually invisible. Today's image lies on the north shore of the main bay. I named the picture "Tinseled Minibrot". I had to give it *some* name and time was short. The rating of 6 was also hastily arrived at, but it seems fairly accurate. With a render time of 23 minutes, the parameter file borders on being annoyingly slow. The download is far more efficient. That download may be found at: and at: The fractal weather today was mid-summer like, with hot sun and a temperature of 84F 29C. The fractal cats approved by sleeping peacefully. I've no time for philosophy today, but I have much material backed up and ready to break loose on the philofractal list. Tomorrow could be the day. And now it's off to work. Until next time, take care, and keep the fractals coming. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Tinseled_Minibrot { ; time=0:23:44.28--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.02405328436573600/+7.107839233804552\ 00/4.135209e+008/1/147.499710220384458/0.000806182\ 515984486814 params=1/-0.9/1/1.1/-0.15/0 float=y maxiter=2400 inside=0 logmap=465 periodicity=25 colors=000O6PN8QN9RNBSNCTPIOQOKRUFT_BUe6Vj2LnJBq_1\ to8mnFgmL`lSVkZOjdIikBhq5gk7ef9d`BbWCaQE`LGZFIYAJX\ CP`EVdF`hHflJlpKqtVnkelcpjWm_QkQKiGEg69XFMNNZDVk3b\ xCU_LLCHHIEEOABT77Z34d01i84iF6iM8iTAi`DigFinHiuJiV\ BS43A41B40CWOavjztess`lrWeqSZpNSoILnDEm97nONoabooq\ igoc`mYTkSMiNFgc81gHBjPLnXUqdculmxtvsmpnfji_deTZ`M\ TWFNS8I_8Ig8Io8Iw8IvCKvGLvKMvONvSOvWPmZZdahXcq3FqB\ PjJYcQfXYZ`eRdmKgkPeiUcgZaeb`ZXaTSaMMaGHa9Ba36aD5U\ M5NW5Gd59f9OhCbjFqZNpOVpDbp2jpAenHalPXjWThcOfjKe8h\ aA``CU_ENZGGYI9XK2X5YaENbMDcU3cSEZRPVQ_RPjNOuJPkOQ\ aTQSXRXYRaZRf_Sk`SpaStaPsdMrgJqjGpmEpoHs6SS6a16X2F\ T2NO3VK3bO7dSAeWDg_GhcKigNkkQlnTmfWiZZeR`bVQYYFT`4\ PgB_mIjsPujYpbekVmfNubRqaUm`Xi__eZbcZ`ca_cdYcgXcjW\ clXciYcfZcc_c`feI`hHWkGQnFLqEFtDAwC5zCNzEPzKUzQZzW\ czahzgmzmrzswzlzzfzz`zzVzzOzzIzzCzz6zzgzzhzzHzzFzz\ GzzHzzIzzJzzKzzLzzLzzNzzO } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 05-10-01 (The Goofiest Fractal [6]) Date: 05 Oct 2001 11:10:31 EDT FOTD -- October 05, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is filled with those goofy looking, cross-eyed, double spirals that characterize the East valley areas of midgets. The eyes are everywhere. There are so many of them that I had no choice but to name today's image "The Goofiest Fractal". Well, I guess I did have a choice, but I decided on the name because I like it. The iterated formula subtracts Z^20 from Z^7 and adds C. The resulting fractal is an unassuming affair with X-axis symmetry and a curious dimple on the eastern border of the main bay. Within this dimple lies a fragment of an east valley. Unlike the East Valley of the classic Mandelbrot set, this valley has a row of midgets along its center line. These midgets are surrounded by the typical goofy-eyed Julia features of East Valley. Today's midget lies buried deep in one of the goofy- eyed spirals in the pattern around one of these larger midgets. This explains why today's image swarms with double spirals. I rated the picture at a slightly above average 6. At one time I briefly considered a rating of 7, but a second look convinced me that a rating of 6 would be the most honest. With its render time of 14 minutes or less, the parameter file is a bit on the slow side. With a download time of one minute or less, downloading the GIF files from the W.W.W. is the more efficient way to see the image. The GIF image files will be available in a few minutes on the W.W.Web at: and at: A perfect sunny midsummer-like day in early Autumn today here at Fractal Central made the cats happy. The temperature, which should be around 70F 21C, actually reached 84F 29C. The cats showed their happiness by sleeping most of the afternoon. I'm considering the direction the FOTD is taking. Perhaps it's time to leave the world of Minibrots for a while, and get back to that four-dimensional (five-dimensional when time is included) stuff I was doing a while back with the Julibrot figure. We'll see how I feel in the days to come. I'll be more relaxed when I get the day's work finished, and the way to get finished is to get started. So until tomorrow, take care, and finish what you're doing, so you can enjoy the fractals without distraction. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ TheGoofiestFractal { ; time=0:14:06.51--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.62576838904586850/+0.000016702092589\ 72/8.099607e+009 params=1/7/-1/20/0/0 float=y maxiter=1500 inside=0 logmap=-274 periodicity=0 colors=000_UISOELI9ED5IF6LG6OH6RI6UJ7XK7_L7bM7ZLCV\ LGRLKNKPJKTFKXBK`9Oc7Rf5Ui3Xl2_n4Vh6Qc8LZAGUCBPD7K\ MIJUOIaWHicGqkFpkEokDnkCmlBllAklAilAhmAgmAfmCenFdn\ IgnLlnOqnQsiTtdVv_XwVZyQ`zLbwEXr8RmAPhCNcELZGKUKIP\ LGKNEGQDETHCXLA`O8dN7hM6lLApKKrUUmcccjhUfiObfSZbXU\ _`QXdMUhISdMR`QPYUOUXMR`LNdKKgGIcDH`AFX7EU4DRGEISF\ AbG2aK4aN5`Q6`T7`W8_Z9_aA_dBU`FPXJKTNFPRALV5HZ0Ea4\ K_7QZBWXEZWHaULdTPeRTcQXZk`UldPmeKnhMokPolTlmWim_g\ nbdocaoc_pcXpcVhcWacWUdWNaWGZWJVVLSVNOVQLVSHVUEVQF\ XNGZKH_HIaEJbLQZRWWXaSbgPhmMjfJk_HlTFkONhPQcPTZPWU\ PZPQaKRdJUgKXjKVgLSeLQbMS`MUYNWWOYTO_RPaOPcMQeJQgH\ OiLMkPKmSIoWGq_EtbCwfBziGzhKzhPzgTzgXzfazfezeizeez\ WbzMZzCWz3Xz7XzAXzDXzGXzJXzMXzPXzSXzVXzYXz`XzcXzfX\ ziQzfJzcCz`6zZ5zX4zW3zU2zT2zS9zTFzULzVRzWXzXbzYhzZ\ nz_tz`zz`izOTzCCz0HzCLzOPz_TzkSzlRzlRzmQzmQznPznPz\ oOzoNzpNzpMzqMzqLzrmzRfzN } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 06-10-01 (Mandelbrot Midget [5]) Date: 06 Oct 2001 11:04:22 EDT FOTD -- October 06, 2001 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD pictures a midget located in the Scepter Valley area of the Mandelbrot set. This midget has existed for all eternity, unseen and unknown, waiting patiently for some intrepid fractalist to stumble upon it and present it for the whole world to see and admire. I am that fractalist. The midget's time to shine will be brief. Within 24 hours the next FOTD will appear. This next FOTD may rate higher than today's image, and today's will then be forgotten. It will return to the shadows of unseen things to lurk there for all eternity. But all is not lost for the little midget. There are theories that an infinity of parallel universes exist, and if this is so, the midget has already been revealed an infinity of times. In fact every midget that exists in the infinite depths of the infinity of fractals has been revealed an infinity of times. I named today's image "Mandelbrot Midget" because that's what it is. And now, in my infinite wisdom and deep humility, I will humbly recommend that everyone take at least a brief glance at the perfectly average 5-rated midget, here making its debut. The parameter file runs in only 39 seconds. Those who would rather not hassle themselves with parameter files can download the image from the W.W.Web at: and at: The fractal weather today was once again summer-like, though not quite as warm as yesterday. The warm sun and temperature of 80F 26.5C made conditions perfect for both man and cats. The man had to work most of the day; the cats slept most of the day, though they found the energy to rush to the window, bristling, hissing and growling when a prowling tomcat wandered a bit too close. It's now time to start my well-earned week-end. Maybe, if I try hard enough, I'll manage to get through the entire week-end without doing any serious work. (Finding fractals is not serious work.) Until 24 hours from now, when the next FOTD will appear, take care, and be fractally oriented. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Midget { ; time=0:00:39.49--SF5 on a P200 reset=2002 type=mandel center-mag=-1.2539829697176\ 28/+0.02311723341662286/1.072149e+010/1/175.000011\ 138620039/-6.90021355569114814e-005 params=0/0 float=y maxiter=5000 inside=0 logmap=812 colors=000VFdVFfVHgVHiVIkUIlUKnUKqUMrUMtUNuSNwSPyS\ PzSRzSRzSSzRSzRUzRUzRVzRVzRXzSYzRWzPVzPUzNSzMRzMPz\ KMwIKtIIqHHnFFkFDgDCdC8cC6`A4X83U81R60N40K40H30D10\ A106003000000000100300600A00C00F00H00K00N00P00S00U\ 00X00`00a00d00f00i00l00n00q00r00u00y00z00z00z00z00\ z00z01z03z04z06z08z0Az1Cz3Dz4Fz6Hz8IzAKzCMzDNzFPzI\ RzKSzMUzNVzPXzRYzS`zUazVczYdz`fzagzcizdkzflzgnzioz\ kqznrzotzquzrwztyzuzzwzzyzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzyyywyyuwwtwuruurutqtrotrnrqlrokqoiqniqlgolfokdn\ icnialg`lf`kfYkdXicVicUgaSg`Rf`RfYPdXNdXMcVKcUIaUH\ aSH`RF`RDYPCYNAXN8XM6UJHPGKKC6F30H40H60I80IA0IA0KC\ 0KD0MF0MH0MH0NI0NK0NM0PM0PN0RP0RR0RS0SS0SU0SV0UX0U\ Y0VY0V`1Va1Xc1Xc3Yd3Yf3Yg4`i4`i4`k6al6an6co8co8cq8\ drAdtAfu8dtAdtAdtAdtAdtActCctCcuCcuCcuCawDawDawDay\ DayD`zD`zH`zH`zH`zH`zH`zH } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Les St Clair" Subject: Re: (fractint) Formula file a couple pars Date: 06 Oct 2001 19:57:23 +0100 Hi Rui > most of them are excelent for the evolver. its to bad that no one exchanges formulas and pars any more on the list.< Yes, evolver is a great feature. Here's a couple back at ya... cheers, Les evolved_01 { ; evolved from Rui Parracho's "tiltawhirl" t= 0:02:47.58 ; t=calc time [h:mm:ss.] using PIII 600 at 1600x1200 ; (c) 2001 by Les St Clair ; http://www.les.stclair.btinternet.co.uk/ ; parameters created on Oct 06, 2001 ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4 passes=t center-mag=-0.771795/-0.895232/0.8487505 params=-2.08905301065096/0.5710013122959074 float=y maxiter=500 bailout=256 outside=atan periodicity=0 rseed=3141 sound=off colors=0004lb<2>3`U3XR3VP<3>2JG1GE1DC<3>1OK1QN1TP<2>1aV2dY2ha<3>4zp<25>2\ KH2IG2GE2FD2DC2BA<10>133133122111<12>000000000<3>000500500<20>_82a82b92<\ 3>iB3<3>oPAqSCsWE<2>xeKziMyfL<3>rTDpPBoM9<2>iB3<5>O52K42H31<3>000<9>000<\ 3>000011021<7>286297298<2>3CA3CA3B9<10>143133132<3>000<3>2862A83CA<6>9_R\ AbTBfW<3>Fte<9>6MH5JF4FC<2>155012000<9>2bV2fZ3ja<3>4zn<2>4pe } evolved_02 { ; evolved from Rui Parracho's "tiltawhirl" t= 0:02:31.10 ; t=calc time [h:mm:ss.] using PIII 600 at 1600x1200 ; (c) 2001 by Les St Clair ; http://www.les.stclair.btinternet.co.uk/ ; parameters created on Oct 06, 2001 ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4 passes=t center-mag=0.658369/0.903322/3.267681/1/90 params=-0.1181371501815853/-1.031861323892941 float=y maxiter=500 bailout=256 outside=atan periodicity=0 rseed=3141 sound=off colors=000GQV<3>ORTQRTSRS<3>_UOaUNcVM<2>iWJkXIkYK<8>pkeqlgqnj<2>srqttttt\ t<103>555555444<2>333222444<7>KKKMMMOOO<3>XXX<11>JJJIIIHHHFFFEEE<5>DDDDD\ DEEE<18>HHHHHHHHHHHHHHHIII<2>EEE<4>OOOQQQSSS<3>bbbeeehhh<12>RRRQQQOOO<3>\ III<3>QQQ<8>HQU } evolved_03 { ; evolved from Rui Parracho's "tiltawhirl" t= 0:07:10.46 ; t=calc time [h:mm:ss.] using PIII 600 at 1600x1200 ; (c) 2001 by Les St Clair ; http://www.les.stclair.btinternet.co.uk/ ; parameters created on Oct 06, 2001 ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4 passes=t center-mag=0.242758/0.844807/1.394285/1/30 params=-1.616077150791955/-0.9059724723044527 float=y maxiter=500 bailout=256 outside=atan periodicity=0 rseed=3141 sound=off colors=xn_los<3>XZ`SUXOQS<3>788<3>222000001<6>11911A21B<10>35O36P36Q37R<\ 3>59Y6AZ6B`7Bb7Cd<26>PWtQXtQXu<2>T_wT_wSZv<25>CHgBGfAGe<2>8Dc7Cb7B`<7>35\ O24M24K13J12H01F<10>017016016<2>003001001<7>STWVX_Z`c<3>los<8>ZXSYVPWTL<\ 2>SNCQL9QL9QL8QK7<21>pgTqhUsiV<2>vlYxn_xn_xn_<24>XQCVPBUOA<2>RL7QK6QK7QL\ 9<2>UQHVSKXUO<8>jlo } evolved_04 { ; evolved from Rui Parracho's "tiltawhirl" t= 0:01:27.93 ; t=calc time [h:mm:ss.] using PIII 600 at 1600x1200 ; (c) 2001 by Les St Clair ; http://www.les.stclair.btinternet.co.uk/ ; parameters created on Oct 06, 2001 ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=rsp.frm formulaname=rsp_0300h4 passes=t center-mag=0.00714271/-0.0268822/0.5481566/1/12.5 params=-1.279702139347514/1.652272103030488 float=y maxiter=500 bailout=256 outside=atan periodicity=0 rseed=3141 sound=off colors=000q04<4>e1Ab1B`1C<3>R1HO2JN2I<7>B19A18817<3>212000000<23>J1EK1FL\ 1F<2>N1HO2IN2K<8>A1i81l71n<2>21w00z03z<8>0bz0fz0jz<3>0zz<25>0Cz0Az08z<2>\ 02z00z00y<11>91hA1gB1e<2>D1aD1`C1Z<15>319317215214112000<18>L1CM1DN1E<2>\ Q1GS2HV2G<5>h19k18m17<3>w12z00z20<17>zk0zm0zp0<3>zz0<16>zH0zE0zB0<2>z30z\ 00x01v02s03 } frm:rsp_0300h4{;Rui Parracho z=flip(pixel), if (cabs(p1)==0), r=(2.0,0.07), else, r=(p1), endif : fz=z/(1+z*z), gz=(1-z*z)/(1+z*z)^2 z=z-r*fz/gz cabs(gz)>.000000001 } Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: John Lewis Subject: Re: (fractint) FOTD 06-10-01 (Mandelbrot Midget [5]) Date: 06 Oct 2001 20:19:18 +0100 On Sat, 6 Oct 2001 11:04:22 EDT, JimMuth@aol.com wrote: > [cut] >It's now time to start my well-earned week-end. Maybe, if I= try hard enough, I'll manage to get through the entire week-end= without doing any serious work. (Finding fractals is not serious work.)= Until 24 hours from now, when the next FOTD will appear, take= care, and be fractally oriented. Come now, Jim,surely finding fractals _is_ serious work.= Seriously enjoyable work, and something we seriously look forward to= seeing! :-) John -- John Lewis, jlewis@clara.net on 10/06/2001 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 07-10-01 (Hyper-Two [5]) Date: 07 Oct 2001 10:37:55 EDT FOTD -- October 07, 2001 (Rating 5) Fractal visionaries and enthusiasts: There is the original classic Mandelbrot set, which we all are familiar with. And then there are the countless sets which surround the M-set, and are almost exactly like it, but with strange and interesting differences. These sets, which I like to think of as supernumerary, are the sets with exponents of Z such as 2.05 and 1.95. Unlike the classic M-set, these supernumerary sets cannot be displayed on a single screen. In fact they cannot be displayed in their entirety at all, because they are infinite in surface extent. Their actual shape cannot be visualized, since it is hyperdimensional, but it can be approximated by an infinite spiral, somewhat like the blade of a post-hole digger. The closer the exponent of Z lies to the integer 2, the more slowly these supernumerary fractals change as the calculated section of the spiral is removed from the ground level. When the exponent is exactly 2, there is no change at all. In today's fractal, the exponent of Z is 2.05, and the view has been moved 10 -- let's call it revolutions -- up the spiral. The overall shape of the parent fractal closely resembles the classic M-set rotated 45 degrees clockwise, but the distortions are immediately apparent. The main bud, which at this new orientation points northwest, is broken by a spurious valley on its northeast shore. This valley is filled with closely spaced branch cuts and sinuous filaments, on one of which lies today's midget. With a generating formula of Z^(2.05)+C, the midget has *almost* 8 sinuous elements surrounding it, though some of these elements are broken and unevenly spaced. Considering the exponent of 2.05, I named the image "Hyper-Two", and rated it an all-too- easy-to-achieve 5. The parameter file's render time in the 3-minute range makes it not too inconvenient to run, but as always, the ultimate in convenience can be found on the internet at: and at: where Paul and Scott will momentarily post the GIF image ready for download. The fractal weather today (Saturday Oct 6) started with a squall of wind and rain, which caused a brief power outage. By midday however things settled into a partly cloudy, breezy pattern, with a temperature around 60F 15.5C. The fractal cats dislike wind, which covers the signs of approaching danger. They spent the afternoon on their shelf by the window, watching the world go by. Well, it's once again Sunday morning here at Fractal Central. And Sunday is my day of rest. I think I'll rest today by taking a trip to the land of fractals to see what I can find there. If I find anything of interest, it will appear as the next FOTD. Until the next FOTD, take care, and believe what you will. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Hyper-Two { ; time=0:03:21.69--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.26165001846746670/+0.849300872259936\ 60/2.095812e+008/1/-114.999999882607526/-2.1637172\ 242794378e-007 params=2.05/0/10/0 float=y maxiter=1200 inside=0 logmap=92 sound=off colors=000wXutWtrWtoVtmVsjUshUsWQiKM`LQcMTfNXhO_kP\ bnQfpRisRluP_kONaLIPJEDQFJWGOaHUgIZhOUhTPhZKicFiiA\ in5is1gf8eUFcHMa5SiLXq_`xndvhctccsZcqUcoPcnKcYNWHQ\ O0SH9UMIWRRYWZ__5CTDINLOITUD`_8cRAgICj9Em0Gl1Dk2Aj\ 37i44i52l7Ro9omCjlEfkHbjJYiMUhOQgQMbLTYH_UDfP9mL5s\ 1dcAbbJabS_a_ZahX`qW`yV`rWYkXVdYSYZQR_NK`KEaIMWEUQ\ BWRGXRLYRPZRU_RZ`RbaRgbRkeSegT`iUWlVQnWLpXGrXBqaGp\ eLoiQnnVmr_mvdip_ekVbfRZaMVXHSSD`JFiAHr2JcAOPHSBOW\ DPSEPOFPKGQGHQCIQ9qcxhWr`OmSHhK9cC2ZN9cXFhgMmqSqnP\ kkMfhJ`eGWbDQ`ALUpAZiJbbSgW`kPipIrtBzyecqf`jgYbhVW\ iSPjPLiMHiJDhGAhE8lF6pG4tHHvKTxNdyQVnJLdDCV7LO5TH4\ aA3i32zykovWdtGbUbiUgpUlwUqmUrdUsVUtMUuNUoOUjPVdQW\ _RXUSYPQ_VOa_NcdLeiJgnIisMkoQmkUogXqc`s_duWhwSkyOn\ zSqzVszZvzaxzd_zdCzdIzYNzSTzMYzGbzAXzHSzONzVHzaCzh\ 7zoCzjGzfLzaPzYTzUYzPazLezHbzE`zCZz9Xz7Vz4Tz2QzFNz\ RKzcIzoLzfOzYKzRhzpmzrrzt } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| and at: The fractal weather today was totally fall-like, with blue sky foiled by blustery clouds, and a temperature of 58F 14C, which kept the cats close to the house. I'll end this now, but I'll return in 24 hours with the next FOTD. Until then, take care, and hope for the best. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_NewSeahorseAngle { ; time=0:01:05.91--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=t center-mag=-0.621972/-0.0521346/6.215162/1/180 params=90/86/2/0/0/0/-0.7525/0 float=y maxiter=1800 inside=0 logmap=6 colors=000BV8CU9DSAEQBFOCGNDHLEIJFJHGEBFJGHNKJROKW\ SM_WNc_PhcRlgSpkUrmUtmVslTrjRrgQqeOqbNp`LoYKoWInTH\ nRFmOElMClJBkH9lD4kF8jHBiJEiLIhMLgOOgQSfSVeUYeUZbV\ `cU_XVZYTYTRZPO_LM_GJ`CGa7C`8Ea8Fa9Ga9Ha9IbAJbAKbA\ LbBNcBOcCPcCQcCRdDSdDReDQfDPfAOf9Nf8Mf7Lf6Kf5Jf4Lk\ 3Mo5Kk7Jh9HdBGaDEZFDVHBSJAOL8LN7IP5ER4BV05T38S5BQ7\ EPAHOCKMENLGQJJTILWHNZFPaESdCUgBWjAYmGVfLS`QPVVMPY\ IF_KJ`MMaNPcPTdRWeSZfUahWeiXhjZkk_ni`ohaofaoebodco\ bcoado`eoZeoYfoafrXfoTclO`iPYhPVfPSYPPXNMWLMVINUGP\ UEQTBRS9SR7TRBSSESSHSSKRSNRSQRSTQSWQSYMRZQSZTSZWS_\ _S_dT_gT`fTaeTcdTecMgbGiaFk`Em_DoZCmcBkhAkk6jmAjkE\ jjIjhMjgQjeUjcYjbaj`ej`gjZigWjdSkaNmZJnWFoTAqQ6rO2\ sO6nO9iODdOG_PIROJWNK`NLdLNfKOgJPhHRjGSkFTlEVmCWoB\ XpAZq9_r7`t6bu5cv4dwAcpGcjLccRcYXcSacLgcFlc9ggGcjN\ _mUWp`SsgOvnQveSvXUvOWvFYv6Ww9VwBUwDTwFSwIQxKPxMOx\ ONxRMxTKyVJyXIy_HyaGycFye } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: John Lewis Subject: Re: (fractint) FOTD 08-10-01 (A New Seahorse Angle [4]) Date: 08 Oct 2001 20:08:25 +0100 On Mon, 8 Oct 2001 10:49:17 EDT, JimMuth@aol.com wrote: > >FOTD -- October 08, 2001 (Rating 4) I thought this appealing - I would have raised its rating to 7 at= least. John -- John Lewis, jlewis@clara.net on 10/08/2001 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 09-10-01 (A Fractal in Paradise [9]) Date: 09 Oct 2001 10:04:08 EDT FOTD -- October 09, 2001 (Rating 9) Fractal visionaries and enthusiasts: Today's fractal image is one of those rare ones that rates a 9. But once again I have only a few moments to write about it. The image results from a critical combination of Z, 1/Z and 1/C. I named the picture "A Fractal in Paradise", mostly for whimsical reasons. The rating of 9 is an honest appraisal of the image, which IMO is exceptional. An added bonus is the relatively brief 12-minute render time from the parameter file, though a download of the GIF image from: or: will be even faster. The fractal weather today here at Fractal Central was sunny but brisk, with a temperature of 57F 14C. These conditions pleased the cats, and the cats showed their contentment by sleeping peacefully. Thomas, the oversized yellow-orange one, interrupted his rest long enough to come visit me for a scratching under the chin which he repaid by giving me a brief purr. Tippy, the tabby, having much sleep to catch up on, had no time to get scratched or purr, and slept through the entire afternoon. Even as I write these words, I see work piled on the table across the room, waiting to be done. I'll start by scanning the envelope of photographs. Then, when the day's tasks are completed, I'll boot the fractal computer and return to the world of fractals. Until I reappear in 24 hours, take care, and never surrender hope. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ AFractalInParadise { ; time=0:12:23.20--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.50122497628874820/+0.027870570081222\ 95/947845/1/-155.000000005278793/1.086948586692670\ 91e-009 params=-1/-1/-1/1/-0.012/2 float=y maxiter=900 inside=0 logmap=260 colors=000rK0lTTlTTlTSlTQlTQmXSoYSp`TraTsdVufVugXv\ jXxlYyoYzp_zs_zu`zvaxubsucoucjscfscascYrcTrcPrcLpc\ GpcCpcFmcIl`LiYOgVPdSScPV`MY_J`WLaVMaRGaRCUS6ZM1YN\ 0YK0YK0dR1fUGgdVijijtxjzzfszamx_irVclQ_fOU`JQVFLPC\ GJ7CD4771C60F40J30O30S10Y00a00f00j00o00c74cIDcSMca\ TcjQUdPc_MQTL_OIiIGrCDz6Cz0Gz6LrCOiGS_MVQS_IXa7af0\ gi0lm0cp6VsDMvMDyT4z`0sX0lS0dO0`P0YQ0VQ0SS0OS0LT0I\ T1FV3AX47X64Y61Y70_90_A0`C0`C0XA0T90Q70M63J46G39C1\ A90D60G10J00M00P00S00T00JQ49zGAzICzICyIDxIFvIFuIGs\ IGrIIpIJoIJmILlILjIMTLOCOP0QQ0SQ0SQ3SQ6SQ7SQASQDSQ\ GSQJSQLSQOSQQSQTSQVSODaM0jQ4cVCYYJQaQLfYFid7ml1pr0\ dAF_C`VCuY9s`6rc4pf1og0mj0lm0jp0ir0il6_fJQ`YGVj7Qx\ 0Tv1Vv4Yv7_v9`vCcvFdvIfvJivMjvPlvQdrM_mJTiFOgCIg7C\ g46g00g04iA7jMClYFmjJovMpzSryXspaugfv``yaXzaQzcMzc\ GzdCzd6zf1zf0zfGzYYzPozGzz9vzIlzQaz_dzXgzVmzipzfoz\ dozcozaozaoz`mz_mzYmzYmzX } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 10-10-01 (Criss-cross Midget [7]) Date: 10 Oct 2001 09:34:37 EDT FOTD -- October 10, 2001 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal continues the same approach as yesterday's -- mixing portions of (Z) and (1/Z). In today's case however, there is a difference. Instead of exactly Z and 1/Z, we subtract some Z^(0.97) from some Z^(-1.15) before adding (1/C). The parent fractal consists of a Mandeloid so distorted that its parts are virtually unrecognizable. It also has a smooth-edged eye-shaped open area extending to the east. Part of the Mandel figure is obscured behind a circular disk at its origin, but a rudimentary valley barely escapes being obscured. Today's scene is located in a cut-off thread of chaos that lies in the northwest branch of this valley. A fitting name for today's image eluded me. There are many themes that could be emphasized. After studying the scene for several minutes, I noticed the eight-armed cross, which could be taken as two four-armed crosses, and named the picture "Criss-cross Midget". It's another above average image, but the rating of 7 falls short of yesterday's superior 9. Unfortunately, today's parameter file takes 44 minutes to render -- at least on my tired 200mhz Pentium machine. A better way of seeing the scene is to give Paul and Scott a chance to render it from the parameter file and download the GIF image from their web sites at: and at: The fractal weather today here at Fractal Central proved ideal. After a frosty start, the warm sun boosted the temperature to 63F 17C, and brought out the fractal cats for a romp in the yard. They somehow managed to keep out of trouble for an entire day. As for me, I'm about ready to start another day's work. With any luck, I'll finish early and have time to find another 9-rated fractal. If not a 9, a 5 or 6 image will do. Until next time, take care, and search for truth wherever it may be found. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Criss-cross_Midget { ; time=0:44:43.00--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.08314704524001394/+0.131224272955765\ 10/1.411807e+010/1/64.9999880445045193/1.014667755\ 64301726e-006 params=0.8/-1.15/-0.9/0.97/0.185/0 float=y maxiter=12000 inside=0 logmap=580 colors=000K5PL5RM5UO5WP5ZQ5`R5cT5eU5hWFjPPdGZY9hRJ\ _LTTFaLAkD4u50z00z00x20u33s46p5An6Dk8GhAKeBMcDQ`EU\ ZFWWG_UIcRJeUJcWJaYJ`_J_`JZcJYdJW`I_YIaUIeQIhMIjJG\ nFGpBGs8Gv4Gy0Gz2Kx2Ou3Qq3Uo4Wk4_i5ae5ec5i_6kY6oU8\ qR8uO9xL9zI9zF8yI6tK5pM5kP4hR3cU2_W2VZ0Q`0Mc0Ie0Eh\ 09j05l00o00q03n69kDFhILeORaUY__cWdiUjoQpuOuzLtxOtu\ QtsRspUsnVskYsi_qh`qecqcdq`fpZipWjpUlpTnoThnTcnTZl\ TUkTOkTJjTEjT9VVTGYk2_z9YuGVkMUaTT`YT_cT_hTZnRYsRY\ yRWzRWzWTx_PtdLqhIokEkpAit6fx3as4Yo5Tk5Oh6Kd6F_8AW\ 95T90PA0LA5KEDJILILTIO`GRhFVpEZxE`qJYlOVhTRcYPY`LT\ eJOjFJoDEsADqEBpIIoLOnPUlT_lVeoakqhqsnxutzxzzyzzvz\ zuzxszqqzkpzenz_lyUkxOjvIkuFluEntBosApq9qp8sp8tj8u\ e8v`8xW8yR8zL8zG8zB8z68z29z69zAAzEAzJAzMBzQBzUBzZD\ zaDzeDziEzjFzjGzkIzkJzlKzlLznMznOzoPzoQzpRzpRzpTzk\ UzfVzaWzZZz_`z_cz_ez_hz`iz`kz`nz`pzaszauzavzalzjdz\ qWzzOzzWzudzdcziaznazq`zv } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: (fractint) Fractalus down Date: 11 Oct 2001 01:31:48 -0500 I was wondering why the PhiloFractal posting of Jim's FOTD never showed up this morning so I could create the web page. Finally found out the reason late in the evening from a posting to the Yahoo eGroup: Janet Preslar posted to Fractal-World: > > Damien has asked me to post that the Fractalus server has > had a "catastrophic hardware failure" and will be offline > until sometime Friday. This affects not only the Fractalus > website but all the mailing lists hosted there. He'll be > posting here when everything is up and running again. > Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 11-10-01 (Fractal Thursday [6]) Date: 11 Oct 2001 11:38:32 EDT FOTD -- October 11, 2001 (Rating 6) Fractal visionaries and enthusiasts: With the philofractal list down for a couple days, I'm taking advantage of the philosophical time-out to catch up on some humdrum everyday work that has been accumulating the past week or so. When the list comes back online, I'll pontificate with the philosophical pondering I've been doing. In the meantime the fractals keep coming. Today's image features a return to the Mandelbrot set for a view of a midget never before seen. (Almost all deep midgets in the M-set have never been seen.) This time we journey out the negative stem to the fourth valley, the one I call Triple-Scepter Valley. Today's midget lies in a spiral of this fourth valley, a fact that is verified by the abundance of spirals surrounding the midget. I had intended on trying the outside option on this image, but when this option is used, the rendering speed slows down for some reason by a factor of over 20. The normal equal-iteration-bands method of coloring produces an image every bit as worthwhile, which rates an above-average 6. With no immediate ideas for a better name, I named the image "Fractal Thursday". It's a fair description of the time in which the image was found. The parameter file runs in 3 minutes. Paul and Scott will have the image posted to their web sites within the hour. Those web sites can be found at: and at: The fractal weather today was sunny and warm. The temperature of 75F 24C kept the cats out in the yard most all day. When the weather is good and the cats are outside, they are happy cats. Therefore the cats were happy all day. And I'll be a bit happier when I get a bit of this backed-up work finished. So until next time, which will be tomorrow, take care, and the rest will be easy. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= Fractal_Thursday { ; time=0:03:23.01--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.39409909557595400/+0.000621121594793\ 03/2.52296e+009/1/-99.999992975078527/-1.253472398\ 37772517e-005 params=0/0 float=y maxiter=50000 inside=0 logmap=-3425 colors=000fTzhRyiSyjTykUylVymWynXyoYypZxq_xr`xsaxt\ bxucxvdxwexxfxwguwhrvipvjmujjuihtiethbsg`sfYsdVrcT\ rbQqaNq`LpZIpYFoXDoVAmT7iR7eP7aN6ZMBVFCRCCN9DK7EG4\ EEDFFEFGHEIJDJMCLOBMRBOTAPW9RY8S`7Sa7Rc6Rd5Qf4Qg3P\ i3Pj2Ol1Om0On0Ml2Lk3Kj4Ji5Ih6Hg7Gf8Ee9DdACcBBbDAaE\ 9`F8_G6ZH5YI4XJ3WK2VL1UM0TN1VM1WL2XK2YJ2_I3`H3aG3b\ F4cE4eD4fC5gB5hA5j96k86l76m67n57p47q38r28s18t1As2C\ s3Er4Gr5Iq6Kq6Mr7Os8Qt9SuATvAVwBXxCZyD`zEbzFdzFfzG\ hzHjzIlzJmzJkzIjzIizHgzHfzHezGczGbzFazF_zFZzEYzEWz\ DVzDUzDTzFTzGTzITzJTzLTzMTzOSzPSzRSzSSzUSzVSzXSzYR\ z_Rz`RzbRzcRzeRzfRzhRziQznQzsPzaOzLOz4Sz9VzEYzJ`zO\ czSfzXizalzfozkrzosziszdszZszUqzVozVmzWkzWizXgzXez\ YczYazZ_zZYz_Wz_Uz`Sz`Qz`UzaXzb_zcbzdezdozMxz3sz7o\ zAjzEfzHazKYzOTzRPzVKzYGz`IzcJzeKzhLzjMzmOzoPzrQzt\ RzwSzyUzuWzqXzmZzi`zeazaczYezVfzRhzNjzJkzFmzBoz7pz\ 4szuqzrozpmznkzljzjhzgfzy } END 20.0 PARAMETER FILE==================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 11-10-01 (Fractal Thursday [6]) Date: 11 Oct 2001 13:47:36 -0500 JimMuth@aol.com wrote: > > When the list comes back online, I'll pontificate > with the philosophical pondering I've been doing. > I noticed that you sent a single copy of the FOTD yesterday, as opposed to a CC'ed version to the Philofractal list. Which means that Wednesday's philosophy may be lost if all recently sent email on Fractalus is gone. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) Re: FOTD 11-10-01 Date: 11 Oct 2001 15:06:28 EDT Paul Lee wrote: >I noticed that you sent a single copy of the FOTD >yesterday, as opposed to a CC'ed version to the >Philofractal list. Which means that Wednesday's >philosophy may be lost if all recently sent email >on Fractalus is gone. No problem. I've got the missing philosophy on hold and I'll post it when the philofractal list comes back online. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 12-10-01 (Fractal Flinders [6]) Date: 11 Oct 2001 22:42:15 EDT FOTD -- October 12, 2001 (Rating 6) Fractal visionaries and enthusiasts: Sometimes, perfectly good fractals turn into a mass of bits and pieces -- flinders that is -- and today's image is a perfect example of this fractal disintegration. I started with a perfectly good fractal -- the figure created by the formula Z^1.5874+C (the 1-1/2 root of 2) -- and investigated the area 6 levels up the logarithmic spiral. I chose a perfectly ordinary appearing valley to delve into, but I had not gone far when the whole fractal world disintegrated around me. Such disintegration usually signals a dead end of the search. Not in today's case however. This left-over chaos is filled with debris, which in itself forms recognizable repeating patterns. And as an added attraction, the chaos is overflowing with deficient midgets of all sizes and shapes. The overall effect of the image is one of fractal flinders floating in a vast space near a relatively unimpressive midget. The pieces almost appear to be drawn down into the midget as though it were a black hole. I first thought of naming the image "Black Hole", but decided on "Fractal Flinders", a title with a more attractive sound. The 16-minute render time will leave some impatient. The 1-minute download of the finished GIF image from the W.W.Web at: or at: will be far more satisfying for these impatient ones. The fractal weather today featured blue skies, puffy cumulus clouds, gentle breezes, and a temperature of 79F 26C. All in all it was a perfect Autumn day, which left the fractal cats purring with contentment. No philosophy will be lost while the philofractal list is down. I'm still writing my thoughts, and saving them in a separate file. The accumulated wisdom will appear as soon as the philofractal list is once again up and running. That's it for today, fractal fans. It's time to shut down the fractal shoppe and call it an evening. But the next FOTD will appear in two wags of a . . . a pussy cat's tail. Until then, take care, and I have not yet begun to explore. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Flinders { ; time=0:16:31.13--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.51849225088358700/-0.546491304449809\ /24561.24 params=1.5874/0/6/0 float=y maxiter=36000 inside=0 logmap=254 colors=000_Q0`R0`S0_R0ZQ0WP0VN0UN0SM0QL0PK0NI0MH0L\ H0KG0i_lfDidHkdKkdNlcQlcUmcWmc_nbbnbepbhpbkp`cb`WQ\ _PC_I0PD5F8C35I05NQbmNZgMWbKUWIQRHNMFLGDHAAE49C089\ 07D07F05K05M24Q44S53W83Z92bA2dD0hF0kH0nI0qL0uM0wN4\ qSAkYHebM_gSUlZPqdIviDzlEwmEvpEtqErtEpuEnwElyEkzEh\ zEgzEfyH`tIYnKUkMQfNM`PIWRFSSANU7IW3DX09Z09Z08Z0CZ\ 0HQ0KQ0MR0PR0RS0UU0WU0ZV0bW0fW2lW2rW3KVELVGLVIMVKN\ VMNVOPUQQUSRUURUWSUYUS_USaVScWSeYSgYSiZRk_Rm_Rm`Rm\ bRmbRmcQmdQmfQmfQmgQmhPmhPmiPmkPmlPmlPmmNmnNnnNopN\ pqNqqNrrMstMtuMuuMvvMwwLwwLwyLwzLwzLwzLwzKwzKwzKwz\ KwzKwzKwzLwzLwzMwzMwzNwzNwyPwwPxwPyvQzuQztRztRzrSz\ qSzpUzpUznUzmVzlVzlWzkWziXzhXzhXzgZzfZzd_zd_zc`zb`\ z`bz`bz_bzZczYczYdzWdzVezUezUezUdzUdzUczUczUczUbzU\ bzUbzU`zU`zU`zU_zU_zUZzUZzUZzUXzUXzUXzUWzUWzUWzUVz\ UVzUUzUUzUUzUSzUSzUSzURzURzURzUQzUQzUPzUPzUPzUNzUN\ zUNzUMzUMzUMzUMzUMzUMzUMz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| or at: and pick up the image from there. The fractal weather today (Oct 12) was ideal, with blue skies, puffy clouds, and a cat-pleasing temperature of 77F 25C. More of the same is expected this afternoon. When I last checked, the philofractal list was still down, so the philosophy will be held for at least one more day. Until next time, take care, and be up and running. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= V_For_Victory { ; time=0:01:10.46--SF5 on a P200 reset=2002 type=mandel passes=b mathtolerance=/1 center-mag=+0.28174961344731050/-0.009596893105776\ 96/1.528115e+013/1/-117.488176390760771/-0.0292145\ 165871739859 params=0/0 float=y maxiter=18000 bailout=6 inside=255 logmap=1637 colors=000nl0rk0of0lc0i`1fY1cT3`Q4YN4VK6SG7PD7MA9J\ 7AG3AD0CA0D70D0VX0zn0zg0zc0z_3zV7zQAzM9wP9tS9pT7lX\ 7i_7f`7cc6_f6Xg6Tk6Ql9MiCJfDGcGD`J9YK6VN3SQ0PS0MV0\ JY0G_0Ed0Kk0Qp0Xw1az4gz7nzAtz9pz9nz9kx7gt7dp7al7_i\ 6Xd6Ta6QY4NV4KQ4HN4GX1Ed0Dn0Cw0Az09x0Dr0Gl0Kf0N`0Q\ V0VP1YJ3aD4d76g17l09o0Ar_0i`0fa1dc3ad3`f4_g6Xi7Vk7\ Tl9QnAPoCMpCKrDJtEGvGEvGDnJKfMQ_NXTQaMSgEVn9XtK`iV\ d`fgQplHzp7zt0pt9VtJ9tTEnSKgQQaPXYNaSMgMKnGJrCJrDG\ rEEtGCvHAvJ7vK6vK4vJ6vJ6vH6vH6vCMv7`n1pn0zf0xf1rf3\ lf4ff6`f7VfAPfCJfDDcE7cG1dH0fJ0cH0aH0`H3YH7XGCVGGS\ GKQGPPETMEfKEnJEvGDzDDvADg7Dg4Dg1Dg0Dg0Dg0Dg0Hn7Kr\ ENwKQzSTz_Xzd_zcYzcXzcVzcTwaSraQoaPpaNraMt`Kv`Jw`H\ x`Gz`EzdDzgDzlCzoCziEzdGz`HzXKzQMzMNzHQzDSz7Sz3Sz0\ Sz0SzGSzKSzQSzXSz`SzfKzk9zp0zv0zt0zr0zp0zo0zk1zg4z\ d9zaCzYEzVJzSMzPPzMTzHXzE_zCcz9fz6izKGzY0zzKzxNzxP\ zxQzxTzxVzxXzx_zYpzaozzzz } END PARAMETER FILE========================================= Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 14-10-01 (Fracler [8]) Date: 14 Oct 2001 10:16:57 -0400 (EDT) FOTD -- October 14, 2001 (Rating 8) Fractal visionaries and enthusiasts: When today's parameters are entered into the MandelbrotMix4 formula, the resulting fractal looks like a snail with its head out of its shell, facing east. Today's image is located in a narrow cleft of disconnected chaos near the edge of the back of the snail's neck. Actually, today's midget lies in the northern suburbs of a larger midget in the area. The larger midget, which is a less spectacular version of the midget in today's image, can be seen by resetting the log palette to zero and backing out three zooms. The generating formula subtracts 1.4 parts of Z^(-1.17) from 1.4 parts of Z^(0.87), then adds (1/C) to create the parent fractal snail. The image itself reminds me of an alien flower, thus the name "Fractal Flower", which I shortened to "Fracler". Since I think the image is quite good, I rated it at an exceptional 8. Others may have a different opinion. On my worn-out but still eager Pentium 200mhz machine, the parameter file renders in just under 13 minutes. Much time can be saved by picking up the GIF image from the W.W.Web at: or at: With blue skies, puffy white cumulus clouds, and a temperature of 79F 26C, the fractal weather today here at Fractal Central was once again perfect. And the cats must have agreed, because they spent most of the day in the outdoor world. To add to the excitement, Tippy, the active one, actually caught a mouse and brought it to the door to show me. The mouse appeared to be unharmed, so after praising Tippy, I took the mouse and returned it to the yard. As it scampered away, I warned it to be more alert for predator cats the next time. The philosophy is accumulating while the philofractal list, having suffered a 'catastrophic' failure, (reminds me of the WTC), remains down. When, and now I'm beginning to wonder if, the list once again becomes operational, I'll have lots of controversial philosophy to share. Until then, the fractals will continue appearing at a rate of one per day on the Fractint list, together with lots of fractal talk, but little philosophy. The next fractal will appear right here in about 24 hours. Take care, and when the going gets tough . . . what *do* the tough do? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fracler { ; time=0:12:53.13--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.039444410280139/+0.71916981442691810\ /5.739517e+007/1/-137.499999948393366/1.5697518258\ 1675643e-007 params=-1.4/-1.17/1.4/0.87/0/5 float=y maxiter=2500 inside=0 logmap=253 periodicity=25 colors=000Q0WS0UT0SU0PV0NW0KY0J_0Na1Qc2Ud4Ye5ah6di\ 8hj9kmAonBsoCvmEtkFsjGriIphJogKmeLkcLjbNi1EO5GP8IP\ AJQEKQGLQJNSNOSVPTSQTUPTUOJTNJGL9KL8NO8PR6TT6VW5YZ\ 5aa4cd4eg2ii2kk1no1rr0tt0vv0tn5sgAp_FoTKmLPkEUj6ZP\ Ld2V6TV6pQVpTVpUWpUGpU0sP0tL0vI0wK0yN0zP0zS0zU0zV0\ zY0za0zZ0zW0zU0zS0yP0vN0uK0sI0pF0oC0mA0kB0iC0hC0dB\ 0aA0Y90U80Q60N50J40F20B10800400000211542852A84C94F\ B5IC5KF6NG6PJ8SK8UN9WO9ZQA_SAaQ8aQ5bQ2bQ1cQ0cQ0cQ0\ eP0gO2hN5iL9jKCkJFmIJnGLpFPrETsCVtBZuAbv9dw8hy6jv9\ htBgsCdpFcnIamJ_jLYhOWgPUdSTbUQaVPaVOaVOV_YPeeSaeU\ YeVTeYPe_KdbGdcBde8dh2di0db2YW5SQ8LKBEEE88G11J0NVA\ egPyscvrburasparp_ppZnoZmoYkoYUSmB4zNAzWGyeLwoSvyY\ uzbttchecYScLEcAehZzmuzksujrojojinehk_hjVghQigKkdF\ ncApa4s_0uY0wW5zYGzYSzZbzZmz_wz_zz_zzbyzcuzdrzenzg\ ozcpz_pzWrzTrzPQzZ0zhzzCyzFpzIhzK_zNTzOKzQBzT2zV0z\ W4zLCzAKz0LzELzSLzcOzaPzZ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 13-10-01 (V For Victory [5]) Date: 15 Oct 2001 13:08:05 +0000 >Unsure of how to rate the image, and following the principle of >'when in doubt, make it average', I settled on a rating of a >generic 5, though a 6 would also be reasonably close. I always >tend to under-rate images in the classic M-set. They seem to >come just a bit too easily. I rate images (and music, for that matter...) by how good the end result is, not how easy or otherwise it was to create. By my scale, this image should rate nearer 8, if only for the cool colour scheme. Thanks. Andrew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 14-10-01 (Fracler [8]) Date: 15 Oct 2001 13:11:43 +0000 >From: Jim Muth >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: (fractint) FOTD 14-10-01 (Fracler [8]) >Date: Sun, 14 Oct 2001 10:16:57 -0400 (EDT) > > >FOTD -- October 14, 2001 (Rating 8) > >Fractal visionaries and enthusiasts: > >The generating formula subtracts 1.4 parts of Z^(-1.17) from 1.4 >parts of Z^(0.87), then adds (1/C) to create the parent fractal >snail. The image itself reminds me of an alien flower, thus the >name "Fractal Flower", which I shortened to "Fracler". Since I >think the image is quite good, I rated it at an exceptional 8. >Others may have a different opinion. I for one agree with that particular rating. (If I thing an image is over-rated, I generally don't bother to post a message saying so. I guess I'm just NICE or something...) THanks. AnDRew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 15-10-01 (Fractal Bagel [5]) Date: 15 Oct 2001 09:20:43 -0400 (EDT) FOTD -- October 15, 2001 (Rating 5) Fractal visionaries and enthusiasts: Fractals are total abstractions. There is no 'real' Mandelbrot set or Julia sets lurking in as-yet-undiscovered hiding places. It is all about numbers and the things numbers do. But we are a part of reality and cannot escape it. Our minds are wired to see 'real' objects even where none exist. Perhaps the strongest evidence of this wiring is the way we so often invent then actually see faces in random patterns such as clouds. I could find no face in today's image, though I did find a bagel. In fact, the whole scene is of one big bagel, which is why I named the image "Fractal Bagel". The midget lies in a chaotic filament on the northwest border of the fractal that results when the expression Z^1.44225+C is iterated by the MandelbrotBC1 formula, using the function. I chose the value 1.44225 as the exponent of Z because it is the cube root of 3, and whole-number roots of whole numbers seem to make more interesting images. The rating of 5 is average, and says nothing about the image. The proper function to use with the MandelbrotBC1 formula is , but most other functions also produce interesting fractals. In today's case I used the function to see what it would do. On my machine, the parameter file takes over 1/2 hour to run. But my machine is old and tired, and most machines will render the image in less than 15 minutes. Those who would rather do no rendering at all can find the GIF image posted to the W.W.Web at: and at: The fractal weather today (Sunday) suffered a setback, with only a few brief periods of sun and too much wind for the sensitive fractal cats. The temperature of 75F 24C was pleasant enough, but the wind limited the cats to a couple brief outings. A heavy shower fell after dark, bringing a less-than-perfect end to the inauspicious day, but by this time, the cats had long since given up and settled into the world of sleep. The philofractal list is still down, so the philosophy is still in cold storage. And I'm hot to get the day's work started. Until next fractal, take care, and fractals are real because we see them, but are they really real. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Bagel { ; time=0:34:17.78--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=recip passes=1 center-mag=-1.08717603028377500/+1.205061829294592\ 00/1.889778e+011/1/42.4995365922868444/-0.00193853\ 530842458266 params=1.44225/0/0/0 float=y maxiter=45000 inside=0 colors=000ebHfcFgcEhdDieCjfBkfAlg9mh8ni7oi6nj7nj8n\ j9njAnjBmjCmjDmjEmjFmjGmjHlkIlkJlkKlkLlkMlkNkkOkkP\ kkQkkRkkSkkTjlUjlVjlWjlXjlYjlZil_il`ilailbilcgpjil\ dji_lfVmcPo`KpYFqVAbFDO0GQ1HR2HS3IT4IU5JV6JW7KX8KZ\ 9K_AL`BLaCMbCMcDNdENeFOgGOhHOiIPjJPkKQlLQmMRnNRmIT\ oNRpSQrXPsaNufMvkLxpJyuIzyHywIxvIwtIvsIuqItpJsoJsm\ JrlJqjJpiKogKnfKmeKlcKlbLk`Lj_LiZLhXLgWMfUMeTMeRMd\ QMbPN`NNZMNXKNVJNVJMTINSIORIOQHPQHPQHQQGQQGRQGRRFS\ SFTTFTUEUVEUWEVWEVVDWWDWWDXWCXXCYXCZXBZYB_YB_XA`XA\ `XAaXAaX9bX9bX9cX8dW8dW8eW7eW7fW7fW6gW6gW6hY4gW6hV\ 7iU9jSAjRBkQDlPEmNFmMHnLIoKKpILpHMqGOrFPsDQsCStBTu\ AUuCRtEPsGNrIKqKIpMGoODoNEnNFnNGnNGnNHnNImNImNJmNK\ mNKmMLlMMlMMlMNlMOlMOkMPkMQkMQkMRkLSjLSjLTjLUjLUjL\ ViLWiLWiLXiLYiKYhKZhK_hK_hK`hKagKagKbgKcgLdhKcgJcf\ IbeHbdGbcGabFaaEa`D`_C`ZB`YB_XA_W9_V8ZU7ZT6ZS6YR5Y\ Q4YP3XO2XN2XMa_Lb`Kc`JdaI } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| Subject: (fractint) FOTD 16-10-01 (New Eastern Angle [7]) Date: 16 Oct 2001 09:59:45 -0400 (EDT) FOTD -- October 16, 2001 (Rating 7) Fractal visionaries and enthusiasts: The well-known Mandelbrot set is actually a slice through the center of a less-known four-dimensional object known to Fractint users as the 'Julibrot'. Since the Julibrot is four-dimensional, the M-set does not cut the Julibrot in half, but it does slice a two-dimensional hole all the way through it. All the 'perturbed' M-sets are parallel to the 'true' set, and taken as a single unit, form the Julibrot. The many Julia sets are also slices through the Julibrot. The 2-D Julia sets also cut the 4-D Julibrot in parallel slices, and when taken as a single unit, form the same Julibrot. The difference between the Julia sets and the Mandelbrot sets is the direction in which they cut the 4-D Julibrot. The Julia sets are oriented in a direction completely perpendicular to the Mandelbrot sets. This relation is not the same as that of perpendicular planes in normal 3-space, such as a wall and ceiling, which must always intersect in a line and have common sets of parallel lines. In the 4-D Julibrot, M-sets and J-sets intersect in only a single point, and every line in every M-set is perpendicular to every line in its intersecting J-set. Just as M-sets and J-sets are slices in different directions through the same four-dimensional Julibrot object, there are many other directions in which this 4-D object may be sliced. Today's 7-rated image, which I have named "New Eastern Angle" shows East Valley of the M-set sliced in one of these new directions. Since the slice is in a new direction, there are no Mandelbrot elephants, buds, or brain-like Julia sets to be seen. What is visible is totally unlike any M-set or J-set, and must be seen to be appreciated. The image can be seen by running the attached parameter file or by picking it up from the W.W.Web. The parameter file runs in exactly 7 minutes on my worn-out Pentium 200mhz machine with a noisy fan. Most of the 7 minute render time is spent on the bottom 1/2 inch of the image. The pre-rendered GIF image downloads in even less time from the W.W.Web at: or at: But before going for the download, give Paul and Scott a chance to render and post the image. The fractal weather today here at Fractal Central was once again perfect, with sunny skies and a temperature of 71F 21.5C. The fractal cats agreed, and showed their pleasure by spending most of the afternoon lurking in the yard, watching the squirrels, who are busy gathering their nuts for the coming Winter. Seeing no signs of life yet from fractalus.com, I once again filed away the day's philosophy until and if fractalus has a resurrection. It's now time to file away the fractals and turn to more profitable but less enjoyable activities. Until tomorrow, take care, and be sharp. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ New_Eastern_Angle { ; time=0:07:00.73--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.60570814332461560/+0.250416550291830\ 40/8155.282/0.0003492 params=0/57/2/0/0/0/0/1e-005 float=y maxiter=45000 inside=0 logmap=135 colors=000SUhTUiUUjVUkWUlXUmYUnZUo_Up`UqaUrbUsbUtb\ UucUvdUwdVwdWwdXwcYwcZwc_wc`wbawbbwbcwbdwaexafxagx\ ahx`gx_fwZevYduYcsXcrWbqVapU`oU_mT_lSZkRYjRXhQWgPW\ fOVeNUdNTbMSaLS`KR_KQYJPXIOWHOVGNUGMSFLREKQDKPDJNC\ IMBHLAGK9GJ9FH8EG7DF6CE5AC6CD7DE8FE9GFAIFBJGCKGDMH\ ENHFPIGQIHRJITJJUKKWKLXLMYMN_MO`NPbNQcORdOSfPTgPUi\ QVjQWkRXmRYnSZpS_qT_rTZqQYqOYqMXpJWpHWpFVnFUlFTjGS\ iGRgGQeGOcHOaHP`HQZIRXISVITUIUSJUQJTOJSMKRLKQJKPHK\ OFLNDLMCLLAMK8MJ6MI5MHD8GD8FE9EF9DF9DG9EG9FH9GI9HI\ 9IJ9JJ9KKALKAMKANKAOKAPKAQKARKASKATKAUKBUKBUKBUKBU\ KBUKBUKBUKBUKBUKBUKDUKEUKFUKGUJHUHIUEJUCKUALU7MU5N\ U3OU1PU4OU6OU8OUAOUDNUFNUHNUJNUKMUKMUKMUKMUKNUKNUK\ OUKOUKPUKPUKQUKQUKRUKRUKSUKSUKTUKTUKUUKUUKVUKVUKWU\ KWUKVUKVUKVUKVUJUUFUUBUU8UUCSUFQUIOUKNUKLUKJUKIUKG\ UKEUKDUKBUK9UK8UK9UKAUKBUKCUKDUKEUKFUKGUKHUKIUKJUK\ KUKLUKMUKNUKOUKPUKQUKRUKS } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Tim Wegner Subject: (fractint) Re: xfractint: question about testpt.c and bignum.c Date: 16 Oct 2001 22:27:12 -0600 Serge asked: > My question is: how do I use the arbitrary precision facilities of > fractint in testpt.c? It seems that I may need to have deep zooming > working to get convincing results out of my simulation. In order to understand this, you will have to look at examples in fractint. At one time I was very familiar with this, but I haven't looked at it in a few years, which is why this isn't the crispest answer :-). Look in fractalb.c for some examples. Some of the functions have "bf" in the name. Those are the ones you want. The functions with "bn" in the name are fixed point and are much more awkward to use. This may not be the answer you want to hear - but this is how it works. You have to completely port your algorithm to the arbitrary precision API and code it separately, and provide a mechanism for changing back and forth. There is a flag that detrmines whether arbitrary precision is being used or not. This is all pretty vague, but it is definitely doable if the algorithm you are coding up in testpt.c isn't too You can find some code that does the mandelbrot. You have you allocate memory on a stack by hand. > A related question is whether xfractint uses arbitrary precision / deep > zooming when interpreting the formula fractals? Unfortunately not. It is probably feasible in Xfractint, but not in the DOS version. Tim Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Tim Wegner Subject: (fractint) Re: xfractint: question about testpt.c and bignum.c Date: 16 Oct 2001 22:27:12 -0600 Serge asked: > My question is: how do I use the arbitrary precision facilities of > fractint in testpt.c? It seems that I may need to have deep zooming > working to get convincing results out of my simulation. In order to understand this, you will have to look at examples in fractint. At one time I was very familiar with this, but I haven't looked at it in a few years, which is why this isn't the crispest answer :-). Look in fractalb.c for some examples. Some of the functions have "bf" in the name. Those are the ones you want. The functions with "bn" in the name are fixed point and are much more awkward to use. This may not be the answer you want to hear - but this is how it works. You have to completely port your algorithm to the arbitrary precision API and code it separately, and provide a mechanism for changing back and forth. There is a flag that detrmines whether arbitrary precision is being used or not. This is all pretty vague, but it is definitely doable if the algorithm you are coding up in testpt.c isn't too You can find some code that does the mandelbrot. You have you allocate memory on a stack by hand. > A related question is whether xfractint uses arbitrary precision / deep > zooming when interpreting the formula fractals? Unfortunately not. It is probably feasible in Xfractint, but not in the DOS version. Tim Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 17 Oct 2001 10:19:52 -0400 (EDT) FOTD -- October 17, 2001 (Rating 4) Fractal visionaries and enthusiasts: What's more interesting than a red alien face leering out from a drab green background? An uncountable number of things. But this afternoon, while exploring more odd angles of the Julibrot, I found a red alien face, which was leering out from a drab green background. Not surprisingly, I named the image "Humanoid Alien". At the same time, I rated it at a 4, which is a little below my usual moderate standard. Actually, I consider looking for funny faces in fractals to be a bit silly. The alien face is humanoid of course, with slit-like eyes, a bulbous nose and a gaping mouth. It would need to be humanoid or else we would not recognize it as a face. This need to preserve a recognizable bit of humanity in our invented alien life forms is the reason that so many fictional aliens resemble human bodies with the proportions changed. If their physical appearance is totally unlike ours, then our human-invented aliens must at least react logically and emotionally somewhat like human beings, or else we could not connect with them at all. An immobile puddle of living slime without thought or emotion might exist somewhere out there, but the events of its life would make a very un-interesting story. Today's image is a new angled view of the prominent valley of the period-4 bud on the northeast shore of the main bay of the Mandelbrot set. What's on the screen is all there is to this particular slice of the Julibrot. Perhaps the best feature of today's alien image is its lightning speed. The parameter file renders in only 25 seconds -- faster than one can get connected to many ISP's. But for those who would rather take the trip to the W.W.Web, the pre-rendered GIF image is (or soon will be) available at: and at: With lots of sun and a temperature of 70F 21C, the fractal weather today was quite pleasant though a bit breezy. It was pleasant that is until 5:30pm, when a squall of rain struck, driving the fractal cats to shelter indoors, where they spent the evening pondering things only cats are aware of. I'm still pondering philosophical mountains, and turning them into molehills, but the philofractal list remains in limbo, wherever limbo is, forcing me to file away the wisdom for another day. Sooner or later it will all break loose however, so until that enlightening moment arrives, wait with bated but not abated breath. As for the fractals -- they'll return tomorrow, same time, same place. Take care. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Humanoid_Alien { ; time=0:00:24.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-1.11022e-016/-0.14425/1.910397/0.3912 params=-45/90/2/0/0/0/0.25/0.5 float=y maxiter=2500 inside=255 logmap=5 symmetry=yaxis colors=000PQ1PR6MSAJTFGUJ9WN2YRXT4bMEhFNn8Xt1e021E\ BISJZeRojo2F8_80RQ6XgCbxIh7LJLIUZFclCm4sMOcZfPkM8j\ e9qkVlrKrBnI2U3MNMeGdC8vYwIgfWpQiCqqPfs`WtmLvBW6`L\ XfLZmHgsDoaW9iOQqHfsGitGGvERwDaxBlYUadPgkKlrFrLSDW\ NPeJ`oElEz5UhOiReLi1ZYLlMdH6RT7_c8gn9oNP1XLGfHVpDi\ P`VgNiG8Rb9gu2iw5nx8sKucZShu9zwAxygLliSsSgnMbqJhtG\ mwDrvOXwJexEnLU8ZNQlGf96AR8Rh9gxf5yQXBf339vXAwULbZ\ umgeqpQtdYdoMnHCJWBXjAjQyaagimRpavCKWN7GWZDi0MqYQL\ 3T4NMNfGeYRMkIdboqhdsnVttKv3DjXBqS6I`7Th8bq9mEd1aP\ VmDgsBo1kHMZWeMihECqC_Q83a9MmAd9C0RBKhAcIN1cGVZDKg\ CYpBjpg5sZJuRXwIjCam`OrfeD3GaXDlZ6qJuJhy1mlGq_VuNi\ Yr7pYyuMxUWwbbVnOiSC2cBMnAd1sqHgsWXtjLvK786PODOUaH\ hS9``AfhAlqArnBArARvAgKr390NInncUsHC4WBNjAedmOJNNd\ GeOEYfCjF9ZbAkfSYMveEz6QlKa_XmNjEpny5xSfuhI1kFPrCf\ 2DCMCSeBg6V78KpMHrZFtlCv6zC60k8VQMPZZKflFovcyxPxF`\ ARUNbNZnGk5jzYSxQT4AXN00R } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mike Traynor Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 17 Oct 2001 19:17:54 -0400 Jim, > What's more interesting than a red alien face leering out from a > drab green background? An uncountable number of things. But then, no matter how interesting something we might view would be, there will always be an uncountable number of things more interesting. > An immobile puddle of living slime > without thought or emotion might exist somewhere out there, but > the events of its life would make a very un-interesting story. Depends on the person. There are people who spend their time studying immobile puddles of living slime that have no thought or emotion. To such a scientist, the life story of his subject will be an object of fascination. A feature common to scientists is the ability to find wonder and interest in things others disdain as dull. Mike Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 17 Oct 2001 23:40:23 EDT I wrote: >>An immobile puddle of living slime >>without thought or emotion might exist somewhere out there, but >>the events of its life would make a very un-interesting story. Mike Traynor replied: >Depends on the person. There are people who spend their time >studying immobile puddles of living slime that have no thought >or emotion. To such a scientist, the life story of his subject >will be an object of fascination. True. But those interested in immobile slime make up a only small percentage of the total population. As the plot of a novel, the life of an immobile puddle of slime would fail miserably. Also, when I re-read what I wrote, I wonder how a puddle that for dozens of years just sits there unchanged, immobile and unthinking like an oil spill could be considered a living entity. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 11:22:19 +0200 Hi Mike >Depends on the person. There are people who spend their time >studying immobile puddles of living slime that have no thought >or emotion. To such a scientist, the life story of his subject >will be an object of fascination. > >A feature common to scientists is the ability to find wonder and >interest in things others disdain as dull. 100% ok .. I'm studying small (< 1 mm) cup fungi of the deserts.. it's b'full! cheers, Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: (fractint) Fractalus down? Date: 17 Oct 2001 23:46:56 -1000 Is Fractalus still down? I miss my favorite fractal galleries! 8-( David gnome@hawaii.rr.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 10:23:38 +0000 >From: Mike Traynor >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) >Date: Wed, 17 Oct 2001 19:17:54 -0400 > > > An immobile puddle of living slime > > without thought or emotion might exist somewhere out there, but > > the events of its life would make a very un-interesting story. > >Depends on the person. There are people who spend their time >studying immobile puddles of living slime that have no thought >or emotion. To such a scientist, the life story of his subject >will be an object of fascination. > >A feature common to scientists is the ability to find wonder and >interest in things others disdain as dull. > >Mike Haha! That's brilliant! In that case, all I need to do to find my perfect girlfriend is to go to the nearest science convention... Thanks. Andrew. Programmer, Mathematition, Scientist... I doubt many people are duller than myself! :-( _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mike Traynor Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 07:38:57 -0400 Andrew, > >A feature common to scientists is the ability to find wonder and > >interest in things others disdain as dull. > > > >Mike > > Haha! That's brilliant! In that case, all I need to do to find my perfect > girlfriend is to go to the nearest science convention... > > Thanks. > Andrew. > Programmer, Mathematition, Scientist... I doubt many people are duller than > myself! :-( Might be worth a try. Be a bummer, though, to lose out to a puddle of immobile slime. Then again, I'm a wargamer. We regularly lose women to puddles of immobile slime. Mike Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Dorothy Gibbs Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 11:50:58 +0100 In message , Andrew Coppin writes >>A feature common to scientists is the ability to find wonder and >>interest in things others disdain as dull. >Haha! That's brilliant! In that case, all I need to do to find my perfect >girlfriend is to go to the nearest science convention... Harrumph.... you saying that girls scientists is dull?!!! Dorothy Dorothy Gibbs (in the UK) dorothy.gibbs@pandbox.demon.co.uk Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: (fractint) Fractalus down? Date: 18 Oct 2001 08:31:49 -0400 David, - Is Fractalus still down? I miss my favorite fractal - galleries! 8-( Web sites should be back up today. Mail is functioning but lists are not 100% yet. I've been in NYC for the weekend so I've only just managed to rebuild things on the server. There's plenty more to do yet but the bulk of the work is done now. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 18-10-01 (Chambered Nautili [8]) Date: 18 Oct 2001 09:13:30 EDT FOTD -- October 18, 2001 (Rating 8) Fractal visionaries and enthusiasts: Today's image reminds me of a poem we studied in school. I was in about the 6th grade and I had the task of memorizing and reciting the poem. I can still remember the title, something like "The Chambered Nautilus", and the first line, which is something like 'Build thee more stately mansions oh my soul,'. I hadn't thought of that little poem for many years, that is not until 9pm, when I saw today's image. There before me curled an infinity of chambered nautili. I immediately named the image "Chambered Nautili" and rated it an exceptional 8. The iterated formula subtracts 11 parts of Z^(-11) from one negative part of Z^(-1.1) and adds 1/C. The parent fractal resembles an irregular half-moon, with today's image located on the northern cusp of the moon. The image, which consists of as much inside as outside, is a showpiece of the under-used option. Both inside and outside are colored with this option. When rendered in the manner I normally use, the image rates no more than a 4. The 6-minute render time is bearable but barely so. Relief is at hand however on the W.W.Web at: and at: where, within the hour, the GIF image will be posted. The fractal weather today was quite Autumn-like, with brisk winds, blue skies filled with dark scudding clouds, flurries of falling leaves, and a temperature of 55F 13C. All this activity left the Dynamic Duo perplexed. They decided to spend most of the day in the window, becoming huffed up whenever another cat came into sight, and wishing conditions were a bit better. As for me -- I wish the day's work were finished. Unfortunately, the only way I know to bring about this condition is to get started. So it's time to shift from fractal mode to graphic design mode. Until next time, take care, and I wonder why complex numbers make fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Chambered_Nautili { ; time=0:06:45.46--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.35143906289108950/+0.988561362993019\ 80/132835.6/1/47.5000000010857306/-2.9587169658729\ 0955e-009 params=-1/-1.1/-11/-11/0/0 float=y maxiter=2500 inside=fmod proximity=1.5 outside=fmod colors=000dSUdRTePReOQeNPeMOeLNfKLfJKfIJfHIfGHgEFg\ DEgCDgBCgABh99h88h77h66j24i45h55g66f86e97dA7cC8bD8\ aE9`G9`HA_IAZKBYLBXMCWNCVPDUQDTRESTESUERVFQXFPYGOZ\ GN`HMaHLbIKcIJeJIfJIgKHiKGjLFkLEmMDnMCoNBqNArO9sOA\ vM9uN9tO9sO8sP8rP8qQ8pR7pR7oS7nS6nT6mU6lU6kV5kV5jW\ 5iX4iX4hY4gY4fZ3f_3e_3d`2gc3d`4bZ5`W6ZU7XR7VP8TM9R\ KAOIBMFBKDCIADG8EE5FC3FA1HB3IB5JC7KC8LCAMDCNDDODFP\ EHQEIREKSFMTFNUFPVGRWGTXGUYHWZHY_HZ`I`aIbbIccJedJg\ eJhfKjgKljLohKmgKlfKkeKidJhcJgbJeaJd`Ic_IaZI`YI_XH\ YWHXUHWTHUSGTRGSQGQPGPOFONFMMFLLFKKEIJEHIEGHEFJIIK\ KKLNNMQPOTRPWUQZWRaYTc`UebVgdWigYki`mkconfqphsrasr\ aqp`oo`mm_kl000000000Ycf000X_cXYaWW`000VSYVQWUOV00\ 0TKS000SGPSENP2NR7MSCMUHMVMMXRLYWL_`L`eLbjKcoKetKf\ xKgxMixPjxSkxUmxXnxZoxaqxdrxfsxzuxzvxzwxzxxzyuzyrz\ yozylzyjzygjydiyagyZfyXdyUcyRayO`yM_kHcZDfM9j95mA8\ lAAlBDkBFkBHjcWZdVXdUWdTV } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 09:59:15 -0500 Jim Muth wrote: > An immobile puddle of living slime without thought or emotion might > exist somewhere out there, but the events of its life would make a > very un-interesting story. Expect, perhaps, to other immobile puddles of living slime. ;-> > I'm still pondering philosophical mountains, and turning them > into molehills,... Heh. Most philosophers seem to work in the *other* direction! ;-\ -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 18 Oct 2001 10:01:42 -0500 JimMuth@aol.com wrote: > Also, when I re-read what I wrote, I wonder how a puddle that for > dozens of years just sits there unchanged, immobile and unthinking > like an oil spill could be considered a living entity. I was going to say, like an old oak tree, but that fails the "unchanged" part of the equation. How about a giant, dormant underground fungus? (I heard once there's one in Alaska that is the largest living entity on the planet--miles across...) -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 10:03:00 -0500 Dorothy Gibbs wrote: > Harrumph.... you saying that girls scientists is dull?!!! Some of us find them quite attractive! -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 15:30:16 +0000 >From: Dorothy Gibbs >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) >Date: Thu, 18 Oct 2001 11:50:58 +0100 > > >Haha! That's brilliant! In that case, all I need to do to find my perfect > >girlfriend is to go to the nearest science convention... > >Harrumph.... you saying that girls scientists is dull?!!! No... I'm saying that *I* am dull, and thus only a scientist would be interested in me. Thanks. Andrew. I've never had a girlfriend in my entire life. I'm that unattractive. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 18-10-01 (Chambered Nautili [8]) Date: 18 Oct 2001 10:53:19 -0500 JimMuth@aol.com wrote: > > I can still remember the title, something > like "The Chambered Nautilus", and the > first line, which is something like 'Build > thee more stately mansions oh my soul,'. > First line of the last stanza, Oliver Wendall Holmes: http://www.countway.harvard.edu/bml/highlights/owh05.html http://www.blupete.com/Literature/Poetry/Chambered.htm etc. P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Dorothy Gibbs Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 18:41:02 +0100 In message , Andrew Coppin writes >No... I'm saying that *I* am dull, and thus only a scientist would be >interested in me. >I've never had a girlfriend in my entire life. I'm that unattractive. > AW shucks! Poor little soul! grin Dorothy (we better stop this or we'll get told off for being off topic!) Dorothy Gibbs (in the UK) dorothy.gibbs@pandbox.demon.co.uk Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Dorothy Gibbs Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 18:47:54 +0100 In message <3BCEEF24.19C51601@mmm.com>, Programmer Dude writes > >Some of us find them quite attractive! > That's good! grin Dorothy Dorothy Gibbs (in the UK) dorothy.gibbs@pandbox.demon.co.uk Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) FOTD 16-10-01 (New Eastern Angle [7]) Date: 18 Oct 2001 13:30:24 -0500 Jim Muth wrote: > FOTD -- October 16, 2001 (Rating 7) VERY cool!! Any time you want to wax prolific about the Juliabrot, you have AT LEAST one very interested viewer... -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) FOTD 17-10-01 (Humanoid Alien [4]) Date: 18 Oct 2001 23:28:55 +0200 At 18:41 18/10/01 +0100, you wrote: >In message , Andrew Coppin > writes >>No... I'm saying that *I* am dull, and thus only a scientist would be >>interested in me. >>I've never had a girlfriend in my entire life. I'm that unattractive. >> >AW shucks! Poor little soul! grin > >Dorothy (we better stop this or we'll get told off for being off topic!) so, if you're off topic, mail at least a little .par.. >---------------------------------------------- >Dorothy Gibbs (in the UK) >dorothy.gibbs@pandbox.demon.co.uk > > Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 18 Oct 2001 23:28:51 +0200 At 10:01 18/10/01 -0500, you wrote: >JimMuth@aol.com wrote: > >> Also, when I re-read what I wrote, I wonder how a puddle that for >> dozens of years just sits there unchanged, immobile and unthinking >> like an oil spill could be considered a living entity. > >I was going to say, like an old oak tree, but that fails the >"unchanged" part of the equation. How about a giant, dormant >underground fungus? (I heard once there's one in Alaska it's not groving in Alaska, but in the heart of the US, somewhere in the Mid West. The mycelium (of Armillaria ostoyae) is not dormant but very vital. Its frontiers are the Pacific and the Atlantic Oceans. But to arrive there will take 10000-20000 years, if there is no radical climate changement. Meanwhile it (and its brothers and sisters >:) will eat the big woods.. here is one page about that fungus, not the best and ultimate but see yourself.. http://www.vgspc.com/newsy/armillaria.htm >that >is the largest living entity on the planet--miles across...) right, they are old, very old and they will survive us (the Humanoids). We're only stardust.. aliens { reset=2002 type=quatjul center-mag=0/0.572407/2.73224 params=-0.745/0/0.113/0.05/0/0 float=y maxiter=95 periodicity=0 colors=00064D<4>73D73C73C73B73A<3>829819819<2>818907B17<3>J46L55O65<4>_C\ 3bD3eE3<3>nJ1pK1rM0<6>v`4vb5wd5wf6xi6<2>xm8xn9yn9<3>yrCysDytEyuE<11>zvVz\ vXzwY<3>zwcz00<2>z00zwk<3>zvpzvrzvszuu<104>P77P77P77<6>M33M33M22<3>K000C\ P<3>0BO0BO0BO<4>0AL0AL0AK<3>0AK0AK0AK<12>46G46G46F56F55F55F<3>64D } an old fractal in deserted colors.. :( :c h e e r s, Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 18 Oct 2001 16:31:41 -0500 Guy Marson wrote: > here is one page about that fungus, not the best and ultimate but see > yourself.. > > http://www.vgspc.com/newsy/armillaria.htm An organism 2200 acres big. That is so amazing!! Thanks! -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: Re: (fractint) Fractalus down? Date: 18 Oct 2001 21:21:46 -1000 On 18 Oct 01 at 8:31, Damien M. Jones wrote: > David, > > - Is Fractalus still down? I miss my favorite fractal - > galleries! 8-( > > Web sites should be back up today. Mail is functioning > but lists are not 100% yet. I've been in NYC for the > weekend so I've only just managed to rebuild things on > the server. There's plenty more to do yet but the bulk > of the work is done now. Still getting "server down or not responding" messages as of now ... will keep checking back later. David gnome@hawaii.rr.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Fractalus down? Date: 19 Oct 2001 02:34:47 -0500 David Jones wrote: > > On 18 Oct 01 at 8:31, Damien M. Jones wrote: > > > > Web sites should be back up today. > > Mail is functioning but lists are not 100% yet. > > Still getting "server down or not responding" > messages as of now ... Same with the Lists, the IFL, etc.... P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jean-Pierre Louvet" Subject: Re: (fractint) Fractalus down? Date: 19 Oct 2001 12:43:33 +0200 When I ping fractalus it replies now. I think that Damien has his server working but that it is necessary to restore all the services... I hope he has full backups. J.P. Louvet | Phone : (33)05-56-84-58-35 IUT Universite Bordeaux 1 | 33405 Talence CEDEX France | email : louvet@hse.iuta.u-bordeaux.fr Fractales sur serveur Web IUT Universite Bordeaux 1 : http://fractals.iuta.u-bordeaux.fr Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 19-10-01 (Midget Distortion [6]) Date: 19 Oct 2001 10:11:08 EDT FOTD -- October 19, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's strange image is a picture of a tiny midget located at -1.7496 on the negative stem of the Mandelbrot set, a point deep in the East Valley of the largest midget of all -- the one centered at -1.75. I named the picture "Midget Distortion" because it is distorted to the point where it resembles a leering face more than a Mandelbrot midget. The distortion is caused by slicing the midget in a new direction -- one of those orientations that produces neither Mandelbrot sets nor Julia sets, but something in between. Since the Julibrot is four-dimensional, there are more in- between orientations than can be imagined. The orientation of today's slice is totally skew -- 45 degrees from all six of the mutually perpendicular planes of the Julibrot, and one of six such totally skew orientations in the Julibrot. I actually chose a perturbed version of the midget to examine in this new direction. I did so because the 'true' version of Mandelbrot objects stretches to a near impossible degree when viewed in some of the odd directions. The degree of this stretching can be demonstrated by changing the real(p3) parameter of today's image to zero and re-calculating the image. The parallel stripes that result are quite uninteresting, though with enough outzooming and stretching in the vertical direction, the original true midget can be brought entirely into view. Today's image gave me a rating problem. Unable to decide on a rating of 5, 6, or 7, I finally decided on a compromise of 6, which is a little above average. The render time of 2 minutes from the parameter file is about equal to the time required to visit Paul's web site at: or Scott's site at: and download the GIF image from there. Bright sunny weather prevailed today here at Fractal Central. The temperature of 59F 15C felt warmer than it actually was, due to the light winds and warm sunshine. The fractal cats, who approved heartily, enjoyed several hours of outdoor activity. Of course, to the cats, outdoor activity means sitting in the grass, watching birds and squirrels, or lying on one of the porch chairs, sleeping. When I last checked, the philofractal list, among others, was still down. With no outlet, the fractal philosophy is still backing up. But it's not being lost. Stay tuned for the re-activation of the list and the imminent eruption of controversial wisdom. The clock over the desk tells that it's time to be getting busy on non-fractal things. So until next time, take care, and be at one with something. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Midget_Distortion { ; time=0:01:57.20--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000113718053904/-0.000000033119188\ 92/5169577/0.115/-180/-88.3303584561142259 params=45/45/2/0/-1.749615506433/0/-1.749615507433\ /0 float=y maxiter=2400 inside=0 logmap=205 colors=000ACWADYAE_AFaAGdBHgCIjDJmEKpYQuzzznmzlazj\ PzhDzf1zi8tlFnnMhqTcs_YvfSxmNplUhl`akgUknNkuLmkJoa\ HpSPkQWfPbaOiXNpSMEOrMWtTcv`kxgry`jpVbgDABPVZINQCF\ H678zeljV_VLOFACtswlloeehZZ`SSULLMEEF777GPZCKS9FL6\ AE357DAmA8c76U5KX2U7zoP8QKz__sNVeHNSBFE57OrUJgOEXI\ 9MC4B6r0eh0Z_0SR0LI0E9079zL7mG5`C3P81C4C8wA6n85e64\ Y53P32H118WdfSZ`OUWKPQGKLCFG8AA455ZAkkWzOGVugaaTPJ\ EC6bC4T93J6193KL_FFRAAI559uYKmTHfPF_LCTHALC7E85742\ h55_44R33I22z1zE5E727sVk`KWIAGFjXDdSBZO9TK7NG5HC3B\ 8154cGHXDEQABK88D55622wZZhQQUHHF88xYTcMJKB90r`0hU0\ _O0RI0IC096TxaNkUH_MBOF5C7bVxJFUj4bV2QF1DZbbTWWNQQ\ HNJBOD5P65Q`3RO1SCKTXAUL8VG6WC4X82Y4X_Kta5kc4ce3Wg\ 2Oi2Gk18m0Do6Bq59s47u35w23y11z0PzKLzHHzEEzBAz87z53\ z2QzGMzDIzBEz9Bz67z43z28zh6z_4zR3zI1z9sz`SzI6zC5zA\ 4z83z62z41z2nzJezFYzCPz9Hz68z3JzuKzuKzuNzpQzkTzfVz\ aYzX`zSczNezIazQZzXWzcWzc } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: the_juggernaut@juno.com Subject: Re: (fractint) FOTD 18-10-01 (Chambered Nautili [8]) Date: 19 Oct 2001 13:54:49 -0500 Hello. I just joined this list, but I've been using Fractint for years. I have version 20.0 (I downloaded it again yesterday to make sure), but none of these FOTD par files are working. On this one it says fmod isn't a valid option for outside coloring; in the alien one, there are 4 parameters in the formula, but my Fractint has a maximum of three. Is there a new version that I just can't find or am I not doing something right? Jon K. On Thu, 18 Oct 2001 09:13:30 EDT JimMuth@aol.com writes: > > FOTD -- October 18, 2001 (Rating 8) > > Fractal visionaries and enthusiasts: > > Today's image reminds me of a poem we studied in school. I was > in about the 6th grade and I had the task of memorizing and > reciting the poem. I can still remember the title, something > like "The Chambered Nautilus", and the first line, which is > something like 'Build thee more stately mansions oh my soul,'. > I hadn't thought of that little poem for many years, that is > not until 9pm, when I saw today's image. > > There before me curled an infinity of chambered nautili. I > immediately named the image "Chambered Nautili" and rated it an > exceptional 8. The iterated formula subtracts 11 parts of > Z^(-11) from one negative part of Z^(-1.1) and adds 1/C. The > parent fractal resembles an irregular half-moon, with today's > image located on the northern cusp of the moon. > > The image, which consists of as much inside as outside, is a > showpiece of the under-used option. Both inside and > outside are colored with this option. When rendered in the > manner I normally use, the image rates no more than a 4. > > The 6-minute render time is bearable but barely so. Relief is > at hand however on the W.W.Web at: > > > > and at: > > > > where, within the hour, the GIF image will be posted. > > The fractal weather today was quite Autumn-like, with brisk > winds, blue skies filled with dark scudding clouds, flurries of > falling leaves, and a temperature of 55F 13C. All this activity > left the Dynamic Duo perplexed. They decided to spend most of > the day in the window, becoming huffed up whenever another cat > came into sight, and wishing conditions were a bit better. > > As for me -- I wish the day's work were finished. > Unfortunately, the only way I know to bring about this condition > is to get started. So it's time to shift from fractal mode to > graphic design mode. Until next time, take care, and I wonder > why complex numbers make fractals. > > > Jim Muth > jamth@mindspring.com > > > START 20.0 PAR-FORMULA FILE================================ > > Chambered_Nautili { ; time=0:06:45.46--SF5 on a P200 > reset=2002 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=recip passes=1 > center-mag=-0.35143906289108950/+0.988561362993019\ > 80/132835.6/1/47.5000000010857306/-2.9587169658729\ > 0955e-009 params=-1/-1.1/-11/-11/0/0 float=y > maxiter=2500 inside=fmod proximity=1.5 outside=fmod > colors=000dSUdRTePReOQeNPeMOeLNfKLfJKfIJfHIfGHgEFg\ > DEgCDgBCgABh99h88h77h66j24i45h55g66f86e97dA7cC8bD8\ > aE9`G9`HA_IAZKBYLBXMCWNCVPDUQDTRESTESUERVFQXFPYGOZ\ > GN`HMaHLbIKcIJeJIfJIgKHiKGjLFkLEmMDnMCoNBqNArO9sOA\ > vM9uN9tO9sO8sP8rP8qQ8pR7pR7oS7nS6nT6mU6lU6kV5kV5jW\ > 5iX4iX4hY4gY4fZ3f_3e_3d`2gc3d`4bZ5`W6ZU7XR7VP8TM9R\ > KAOIBMFBKDCIADG8EE5FC3FA1HB3IB5JC7KC8LCAMDCNDDODFP\ > EHQEIREKSFMTFNUFPVGRWGTXGUYHWZHY_HZ`I`aIbbIccJedJg\ > eJhfKjgKljLohKmgKlfKkeKidJhcJgbJeaJd`Ic_IaZI`YI_XH\ > YWHXUHWTHUSGTRGSQGQPGPOFONFMMFLLFKKEIJEHIEGHEFJIIK\ > KKLNNMQPOTRPWUQZWRaYTc`UebVgdWigYki`mkconfqphsrasr\ > aqp`oo`mm_kl000000000Ycf000X_cXYaWW`000VSYVQWUOV00\ > 0TKS000SGPSENP2NR7MSCMUHMVMMXRLYWL_`L`eLbjKcoKetKf\ > xKgxMixPjxSkxUmxXnxZoxaqxdrxfsxzuxzvxzwxzxxzyuzyrz\ > yozylzyjzygjydiyagyZfyXdyUcyRayO`yM_kHcZDfM9j95mA8\ > lAAlBDkBFkBHjcWZdVXdUWdTV > } > > frm:MandelbrotMix4 {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), > g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, > k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < l > } > > END 20.0 PAR-FORMULA FILE================================== > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion > List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > ________________________________________________________________ GET INTERNET ACCESS FROM JUNO! Juno offers FREE or PREMIUM Internet access for less! Join Juno today! For your FREE software, visit: http://dl.www.juno.com/get/web/. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 18-10-01 (Chambered Nautili [8]) Date: 19 Oct 2001 15:03:18 -0500 Jon K. wrote: > > I have version 20.0 (I downloaded it again > yesterday to make sure), but none of these > FOTD par files are working. You will need to get the latest Developer's version 20.2 from here: http://www.fractint.org/ But that will not be available until the Fractalus server becomes available again (been down since October 10th). :-( Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) FOTD 19-10-01 (Midget Distortion [6]) Date: 19 Oct 2001 15:13:03 -0500 JimMuth@aol.com wrote: > I named the picture "Midget Distortion" because it is distorted > to the point where it resembles a leering face more than a > Mandelbrot midget. Yeah, looks like another alien! Only this one looks MUCH friendlier. That other one was downright scary!! [shudder] -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) FOTD 18-10-01 (Chambered Nautili [8]) Date: 19 Oct 2001 17:58:06 +1300 At 09:13 18/10/2001 -0400, JimMuth@aol.com wrote: >Until next time, take care, and I wonder >why complex numbers make fractals. Not the numbers themselves, but nonlinear dynamics in the space of complex numbers do. Morgan L. Owens "I could recommend several books on the subject." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: (fractint) Fractalus down? Date: 20 Oct 2001 00:18:41 -0400 Jean-Pierre, - I hope he has full backups. I have complete backups of all the web material (and I made a few extra copies, just to be sure) but I did lose a few things. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: (fractint) Fractalus down? Date: 20 Oct 2001 00:18:39 -0400 David, - Still getting "server down or not responding" messages as - of now ... will keep checking back later. Yep, I've had a busy work week. More sites are back up now, including fractint.org. More will appear as the night goes on. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: (fractint) Fractalus down? Date: 20 Oct 2001 00:18:40 -0400 Paul, - Same with the Lists, the IFL, etc.... Lists are a separate issue I've yet to deal with. The IFL should be back online now. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 20-10-01 (Spots Before the Eyes [6]) Date: 20 Oct 2001 09:16:40 EDT FOTD -- October 20, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's image, which appeared when 2 parts of Z^(-13.33) was added to half as much Z^(-1.333), has spots all through it. Resembling colonies of thriving bacteria, they surround the straight-rayed midget like cultures in a petri dish. But with the world situation as it is, the thought of 'bacteria' can throw fear into the hearts of the fearless. Not wanting to throw fear, I decided to name today's image "Spots Before the Eyes". It's a nice (meaning I can find little else to praise it for) image, with a slightly (so slight that few will notice) different (something is not quite right) color scheme. Despite its flaws however, I rated the image at a slightly above average 6. The parameter file requires a wait of 7 minutes for the image to finish. The image can be seen in less time by visiting Paul's web site at: or Scott's site at: And downloading it from there. Perfect Autumn weather once again prevailed today here at Fractal Central, with sunny skies and a temperature of 66F 19C. The cats rated the day an 8, and celebrated by sleeping on the porch. When I last checked, Philofractal was still down, which means the philosophy is still accumulating. But upon reading the backup a week or more after I wrote it, some of the philosophy now strikes me as less enlightening than it seemed when I wrote it. So the philosophy is still coming, but not quite as much of it. And I'm about to celebrate the start of a weekend by doing as close to nothing as is possible. A day of absolute perfection, in which I accomplish absolutely nothing, is obviously impossible, but despite my best intentions, I keep trying. Until tomorrow, take care, and it's not the numbers that create fractals, it's the non-linear dynamics, which are represented by numbers. I guess there's a difference. Maybe I'd best forget numbers and concentrate on raising the hamiltonian, whatever that is. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ SpotsBeforeTheEyes { ; time=0:06:40.90--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.82669565058513400/-0.035741258189567\ 48/1.253678e+011/1/79.9997671635828738/0.001693038\ 0670311107 params=1/-1.333/2/-13.33/0/800 float=y maxiter=800 inside=0 logmap=131 colors=000ZRKvjqcXXpikhbg`WcUQ_MJWECS76Ompzhjrdek_\ _dWVYRPRNKKJFDKHGKJIPLKPNMUPOURQZUSZZUcaHcg5hiKhkU\ noUnpVttLtuBzx1zx3to5tk6i`8iY9c9Bc2CM2GQ2JU2NX2QT9\ VQGZMMbJTgFZkCeo9ksIlqUloclmrmkwmizmhzjfzmehdddac`\ ZaXW`TT_PRZLU_HX`D_`9ba5eb2gb4YU5PM6GD7756EC5KI4QP\ 3XV2ba1hg1nmDpnPqo`rpksqlpkmmfnj`rhWweQzbLz`GzWFwS\ ErOEmKDlGCkCCj8Bi4Bh9JgDQfHXeLddPkcTrYNsSHtMBuG5vB\ 0wVSymszlnpligkeYk`PkXGhRFeLFbGF_AFX5FZCG_JG`PGaWG\ cbGdhGeoGfuGboIZiKVdLRZNOUOSXLWZJZaHbcEefCihAlj8nh\ AogCpeErdGsbItaKqQGoECm39hCBdKC`SDW_FSgGOoHShOVbVZ\ XaaRhdLofNqhOsjQtlRvnTxoUyrNnuHcxBTz5IyLFy`CyoAuZN\ qI_m1lj7ngCpdHraMtZRvXWx3o4CkLKhaPfYTeVYdSacPebMjg\ InkEroBokHlhMjdSgaXdYbbVgdZfeadgebiiajm_lqYmtXhsUd\ rS`rQWsOStMOuKKvIFwGBxE7yC3zA9zBFzBLzBRzCXzCbzCazG\ azJazM`zP`zS`zW_zZ_za_zd_zgZzfYzfXzfWzeVzeUzeTzdSz\ dRzdRzdSzbSzaTz`TzZUzYUzX } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 21-10-01 (Look the Other Way [6]) Date: 21 Oct 2001 12:03:25 EDT FOTD -- October 21, 2001 (Rating 6) Fractal visionaries and enthusiasts: I named today's 6-rated image "Look the Other Way". It seemed a reasonable name in light of the odd nature of today's scene, which lies in the Julibrot, but is neither a Mandelbrot set nor a hole in a Julia set. It is actually what I call an Elliptic set, a slice through a hole in the Julibrot in the orientation defined by imag(z) and real(c). In the Mandelbrot set, the hole appears as a midget deep in a star of a period-19 radical in East Valley. It is actually quite an attractive midget. When sliced in the Elliptic direction, the hole appears shaped somewhat like a comma. The pattern around it is similar to the pattern that surrounds the Mandelbrot and Julia aspects of the same 4-dimensional hole. The parameter file runs in just under 10 minutes. The GIF image is also available on the W.W.Web at: and at: The weather today, fractal weather that is, was perfect. The fractal cats rejoiced in the bright sun, gentle breezes and temperature of 75F 24C. The birds, butterflies and squirrels also rejoiced, keeping the cats amused. No philosophy today, but lots of relaxation on the way. So until next time and next fractal, take care, and watch out for that loose hypersphere. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Look_the_Other_Way { ; time=0:09:32.86--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=Elliptic passes=1 center-mag=+0.000000\ 00004423212/-0.00000000002221295/2.333694e+008/0.2\ 271/-85.3597450306568106/85.4023337745133944 params=0.2759496837192636/0.00691711682698/0.27594\ 96837192636/0.00691711682698 float=y maxiter=6000 inside=0 logmap=-987 colors=050f5ai5bl5do5fr5gv5iy5kz5lz5nz5oz5qz6qx8qt\ BqqDqnHrkJrfMrbOr_RrWTtTWtQXtN`tIatFevBgv8jv4kv1ov\ 0pvBoxNmy_kzkjzxhzzhzzctvZkoUaiPRbJIWB8Q50K50L50N5\ 0NA0PF0PK0QP0QU0RX0Rb0Tg0Tk0Wk0Yh0af0bc0f`0gZ0kW0l\ U0oR0qP0rO0vM0xK0zJ0zH0zF0zD0zB0zA0z80z60z50zA0zD0\ zJ0zM0zP0zU0xX0ta0qe0oh0lm0ip0fu0bx0az0Wz0Tz0Qz0Nz\ 0Iz0Fz0Bz08z02z00z10z20z40z60wB0sF0pK0mN0jQ0gV0cY0\ `a0Wf0Ti0Pl0Mq0Jt0Fx0Bz08z05z08z0Az0Dy1Fv2Jr4Ko8Ol\ 9PiBTfFUbGX_IZYL`VNcRPePRhLTjIVmFYoB_r8as4dw1fx0gz\ 0dz0az2Yz6Vz9RzDPzGNzIKzLGzPDzR9zV6zY2za1zb0zf0zi0\ zl0zo0zr0zt0zx0zz6zzDzzKzzRzzYzzdzzbzzazzazz_xzYwz\ YszWrzVozVmzTjzThzVkzVmzVozWpzWrzWszYwzYxzYzz_zz_z\ z_zzazzazzazzbzzbzzbzzbzzfzzizzlzznzzqzztzzxzzyzzz\ zzzzzzzzzzzzxzrwzkuzbrzVpzNozPpzQpzRpzTpzVpzWpzYpz\ Ypz_pzapzbpzdpzfpzgpzgpzipzkpzlpznpzopzqpzqpzrszru\ zrwzrxztzztzzlzzozzqzzrzz } frm:Elliptic {; Jim Muth imag(z),real(c) z=flip(imag(pixel))+p1, c=real(pixel)+p2: z=sqr(z)+c, |z| <= 16 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: (fractint) fractalus sites & mailing lists Date: 21 Oct 2001 14:38:24 -0400 Greetings folks, As many of you probably know, my server had a catastrophic hardware failure on the 10th. Unfortunately the piece of hardware in question was a hard drive. While I was able to preserve all of the web content, and I've been working all this past week to bring those back online, the subscriber databases for all the mailing lists did not survive. The bulk of the web sites are now back online; these include fractalus.com, contest2k.com, fractint.org, and ultrafractal.com. If you encounter any problems with these sites, please let me know. It's all supposed to work. :) If you were previously subscribed to any of the following mailing lists, you will need to re-subscribe. They are running now but few have re-subscribed. Fractal-Art For general discussions of fractal art, including discussions on printing, selling, or marketing fractal art. Announcements of new galleries, exhibitions (especially those in art galleries), contests, art fairs, and so on are appropriate. To subscribe, send mail to: fractal-art-subscribe@lists.fractalus.com PhiloFractal For discussions about the philosophical side of fractals, what they mean about life, the universe, and everything. To subscribe, send mail to: philofractal-subscribe@lists.fractalus.com UltraFractal Specifically geared towards the Ultra Fractal software by Frederik Slijkerman. This is the official support list. Questions about how to use the software, tutorials, general posting and exchange of image parameters, etc. are appropriate for this list. To subscribe, send mail to: ultrafractal-subscribe@lists.fractalus.com I apologize for the service interruption and have taken steps to make sure it can't happen again. This is a general announcement and may be forwarded freely. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 22-10-01 (Maltese Minibrot [7]) Date: 22 Oct 2001 09:48:32 EDT FOTD -- October 22, 2001 (Rating 7) Fractal visionaries and enthusiasts: When I saw today's image, it reminded me of something that I couldn't place. Then I recognized the pattern around the midget as a crudely-formed Maltese cross. The name "Maltese Minibrot" followed shortly. IMO, it's an above-average image with an unusually vivid purple, well worth the rating of 7. The iterated formula takes 0.01 part of Z^(-1.5) and adds one part of Z^2 to it. 1/100th part of Z^(-1.5) is very small, but that tiny amount makes a world of the difference in the appearance of the resulting parent figure. The parent fractal appears as a Mandelbrot set with its shorelines obliterated by clutter, its main bay filled with an island of debris, and its main bud clogged to the extent that only a tiny hole remains in the center of the debris. This hole is shaped like a curiously distorted mini-M-set, which has started to split apart at both its east and west extremities. Today's midget lies in the northwest suburbs of a larger midget, which lies just inland of the south shore of the East Valley of the distorted M-set that lies at the center of the mass of debris clogging the main bud of the parent M-set. It takes longer to describe the location than it does to back out of today's image and see the location in person. As for seeing today's image itself -- that can be accomplished in 8-1/2 minutes or less by running the parameter file, or even faster by visiting Paul's web site at: or Scott's site at: where the image will soon be posted. Today's fractal weather was again perfect -- blue skies, light winds, and a temperature of 79F 26C. The fractal cats had a great day, climaxed by a nip of catnip, which had them rolling in ecstasy. They then spent the rest of the day sleeping it off. The philofractal list is once again operational, but at this time only a few have re-subscribed. I'll hold off on the fractal philosophy until I see a reasonable degree of activity on the philo-list. I fear that if I posted the wisdom now, very few would see it. Well, I notice that the clock on the wall above me says 9:40am, signalling that the moment to get to work has arrived, so until next time, when I'll try to describe the geography of an imaginary four-dimensional hyperspherical planet, take care and don't forget to re-subscribe to philofractal. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Maltese_Minibrot { ; time=0:08:27.96--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.42231500123432000/-0.005507167133372\ 09/4.257051e+008/1/-15.0000041368634047/-6.0119504\ 0066809794e-005 params=0.01/-1.5/1/2/0/0 float=y maxiter=1200 inside=0 logmap=150 colors=000F90CB08C05E03E00F00F00G00E00E33C75CB9BFC\ 9JF8NI7RM4VO3ZR1bU0fY0j`0nb0sd0ud0ub4ua8u`Cu`GuZKu\ YOuXSuXXuVauUeuSiuRmuRquQuuVzu`zufzuYzjQw`GnQFfFCZ\ 4BS0CV0EX4FY8G`CIaGJbKKdOMfSNhXOi`QldRmhSnlUppVstX\ txYuzYtzaizdYwfKsi8mj0lj0hj0em3dn5bp9bsCatG`uJYuNX\ uQUwURwXOw`NxbKxfIyiFymEypBzt8zw5zy4wx8sxBnxFlxIhw\ MdwOawSYwVUuZRuaNueJuhIsqGujFweFx`EyVEzQCzKCzFBz9B\ z4Gz0Nz0Vz0bz1jz4qz8lzBfzF`zIVzMRzOOzSNzVMzZMzbNze\ OziOzlQzpRwsRpwSiyUbzUdzVjzZmzbjzfezj`znUzqNzbhtQz\ dRzbRzaRzaRy`Ry`RxZRxZSwYSwYSuXSuXStVStVSsUSsUUqXV\ qYXpZYp`Zpa`ndanebmfdmhemifllhlmijnjjpjjqqhuweyzdz\ zbzzayzayy`xyZwyZwyYuxYuxXtxVswVswUqwSpwSpuRnuRnuQ\ mtOltOltNjtNjqMlpMlnMmmMmjKniKnhKnfKpeKpbJqaJq`JqZ\ JsYJsVItUItSIuRIuQIuNGwMGwKGxJGxIGxKQzMYzNezQnzRwz\ SzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) fractalus sites & mailing lists Date: 22 Oct 2001 11:38:40 -0500 Damien M. Jones wrote: > > PhiloFractal > > I apologize for the service interruption and > have taken steps to make sure it can't happen > again. This List was not re-established the same way as it had been, nor as the others were re-setup. For one thing, the REPLY-TO field is not there, so any replies will go to the SENDER and not to the List. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 22-10-01 (Maltese Minibrot [7]) Date: 22 Oct 2001 11:52:52 -0500 JimMuth@aol.com wrote: > > I'll hold off on the fractal philosophy until > I see a reasonable degree of activity on the > philo-list. I fear that the List may have never had a large Membership in the first place, since only about a dozen names appear there on a somewhat irregular basis. But I do know that my hosting of your philosophy FOTD version (on the web), usually gets viewed by several dozen individuals. > > I fear that if I posted the wisdom now, very > few would see it. This could be either good or bad, depending on one's point of view. ;-} Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: bmc1@airmail.net Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 22 Oct 2001 15:47:59 -0500 Recent Botany literature - and my old college textbook - allege that largest living entity on the planet is actually a single, non-contiguous, but linked (see below) group of aspens, which extends through parts of 6 states in the Rockies: Northern New Mexico, Colorado, Utah, Wyoming, Montana and Idaho.

As aspens propagate themselves by underground rhizomes (sometimes as long as 100 miles and as deep as 50ft) - each "new" sapling is merely an above-ground manifestation of the subterranean part of the original plant. Continuity (and proof that they are all the same plant) is further ensured by the fact that even when a given tree becomes senescent after 1-200 years, it in fact doesn't die, but merely "rejuvenates": a genetically identical, but "new" appearing tree arises from the stump, rootball and other remnants of it "parent (which is its {"Greatx10^12"} Granddaddy, [or Grandmother in deference to Ms Gibbs in the UK]).

Rhizomal propagation is coincidentally also suggested to be the mechanism by which the species has survived possible eradication by forest fire, earthquakes, massive volcanic eruptions, meteor/comet strikes and prolonged drought (e.g., the 30-50-yr drought ca. 1180-1210AD which was severe enough to wipe out the Anasazi culture), as well as the more modern deforestation due to clear-cutting, deep root plowing, overgrazing, herbicides, etc.

The the original tree is thought to be in NW Colorado and >100,000 yrs old. Anyone have evidence to the contrary?. And do you have the citation about the underground fungus??

Sorry for the OT, but thought other readers might just possibly be into esoterica. ;-)

D. Freed

Programmer Dude wrote:

JimMuth@aol.com wrote:

> Also, when I re-read what I wrote, I wonder how a puddle that for
> dozens of years just sits there unchanged, immobile and unthinking
> like an oil spill could be considered a living entity.

I was going to say, like an old oak tree, but that fails the
"unchanged" part of the equation.  How about a giant, dormant
underground fungus?  (I heard once there's one in Alaska that
is the largest living entity on the planet--miles across...)

--
|_ CJSonnack <Chris@Sonnack.com> _____________| How's my programming? |
|_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL  |
|_____________________________________________|_______________________|

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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 23 Oct 2001 19:25:10 +1300 At 15:47 22/10/2001 -0500, bmc1@airmail.net wrote: >Sorry for the OT, but thought other readers might just possibly be into >esoterica. ;-) Not that off-topic, so long as you can dig up a map of the rhizomal network :-) Morgan L. Owens "Lesson No 34: The Larch" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 23 Oct 2001 01:47:15 -0500 bmc1@airmail.net wrote: > > The original tree is thought to be in > NW Colorado and >100,000 yrs old. Last week, someone on the east side of Dallas brought part of those aspens back from that area of Colorado. Want one of the logs?? :-) > > And do you have the citation about the > underground fungus?? > > Programmer Dude wrote: > > > > I heard once there's one in Alaska that > > is the largest living entity on the planet-- > > miles across... Yes, I saw that same episode of the X-Files. Though the story line is based on a smidgen of fact, I do not believe it is really located in Alaska. P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 23 Oct 2001 11:05:37 EDT FOTD -- October 23, 2001 (Rating 7) Fractal visionaries and enthusiasts: The four-dimensional hypersphere -- the locus of a point in four- dimensional hyperspace which is at a constant distance from a fixed point -- in other words, a four-dimensional ball -- perhaps the simplest hyperfigure. All two-dimensional slices of a hypersphere of any number of dimensions appear as circles; all three-dimensional slices are spheres. The surface of the 4-D hypersphere, as well as the surface of all 4-D figures is three-dimensional -- in the hypersphere, it is a space of constant curvature. Though we cannot visualize a curved space, we can visualize limited portions of it, which, if the hypersphere is large enough, will seem like ordinary 'flat' 3-D space, in the same manner as a limited portion of the earth's surface appears flat. On the 3-D surface of an imaginary 4-D hyperplanet, there are six cardinal directions -- north, east, south, west, up, and down. The up and down directions do not lead up into the sky or down into the ground -- they are additional directions which lead around the surface of the planet and meet at the antipode. A 4-D hyperplanet has an equator -- an imaginary great circle line around its center. Like on the earth, this equator marks the center of the tropical zone, where the climate is constantly warm. But, unlike the earth with its two point-poles, a 4-D hyperplanet also has a polar circle -- a great circle completely around the planet, which marks the center of the area of frigid climatic conditions. All points of the polar circle are 90 degrees from all points of the equatorial circle. On a 4-D planet, it is possible to circumnavigate the hyperglobe in a straight line and never leave the coldness of the polar region. To define a point in the surface-volume of a hyperplanet, three sets of coordinates are necessary. In the next FOTD I'll go into several ways this might be done. Right now, it's time to get to today's image. I named the image "Something Different". Resembling a scene in a tropical rain forest, the image is not really all that different, but, considering that the features surrounding the midget were produced by the basic equal-iteration coloring method, the image is rather unusual. Whether the image deserves its rating of 7 is up to the individual viewer to decide. The render time of 6 minutes is only slightly annoying, and the download, which may be found at: and at: is even less annoying. The fractal weather today was perfect. The warm sun, light winds, and temperature of 79F 26C kept the fractal cats both happy and outdoors. But I won't be happy until the day's work is done. And the way to get it done is to get it started, so until next time, take care, and take it easy. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ SomethingDifferent { ; time=0:06:15.53--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.12380630434162650/+0.095427904465020\ 41/15137.63/1/-82.4999999998920828/4.9807873103713\ 2627e-011 params=1.2/-0.98/-0.8/1.02/0.178/-50 float=y maxiter=1000 inside=0 logmap=90 colors=0000Q0zgBziRzs4dz0iz0nz0sz0yz0zz0zz0zz0zz0z\ z0zz0zz1zz4zz9zzCywEnnGdgHXJJMRKCKM2CO06P09R2CR6GR\ 9JRCMRHPRKTROXRR_RVbRYRRVRRTBRRRRPRRORRMVPK_HJ_9HY\ 1GY0C_0Ba19a47b76bB4dE2dH0fM0gP0gT0iX0i_0kb0kf0gb0\ fa0d_0bY0aX0_V0YT0XR0VP0TO0RM0TK2VK4VK7XJ9XJCYJGYJ\ H_HK_HMaHPaHTbGVbGYdG_dGagCak9bm7bp4br2du0dw0dz0fz\ 0fz0fz0gz0gz0gz0bz0Yr0Vg0Pg0Kg0Hg0JgCJgYJssJzzGzzC\ zuBzm7zb4zV2zM0zE0z40z00z00z00y00u00r00n00i00g00g0\ 0g00g00g01g01g22g42g64g76g96gB7gC7gE9gG9gHBgJBgKEg\ HHgGKgEMgCPgBTg9Xg7Yg6af4dd1fb0ia0m_0pb0rg0uk0yp0z\ s0yk0yg0yg0yg1yg4yg7yg9ygBygCygEygGygHygKygMygOzgP\ zgRzgTzgVzgYzg_zgazgbzidzmfzngzpizngzngzmgzmfwmfsk\ fpkfmkdiidfidbibzf0zd0za0z_0zY0yg0zd0zn2uzCwzGyzJz\ zKzzOzzPzzTzzXzzYzzazzbzzfzzgXzB_zGbzKfzOizTmzXpza\ szfwzizznzzszzryzpszpmzngzmbzmYzkRziMziHzgCzf6zf1z\ d0zb0zb0zV7zMGzGOz7zzzzzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Re: FOTD 17-10-01 (Humanoid Alien) Date: 23 Oct 2001 12:15:02 -0500 "Paul N. Lee" wrote: >>> I heard once there's one in Alaska that >>> is the largest living entity on the planet-- >>> miles across... > > Yes, I saw that same episode of the X-Files. Though the story line is > based on a smidgen of fact, I do not believe it is really located in > Alaska. I was close.... sorta. Turns out to be in the Pacific NW. (I've never watched X-Files, so I must have heard it somewhere else. :-) -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Tony (Anthony) Hanmer" Subject: Re: (fractint) FOTD 23-10-01 (Maltese_Minibrot[7]) Date: 23 Oct 2001 22:22:04 +0500 Jim, the ONLY unsuccessful thing about this image is your rating of it: too bad you're not as "clever" with real integers as you are with complex numbers! Try a 9. I'm so glad that Sept. 11 didn't permanently knock you out of interacting with all of us in your amazing way. Thank you. Tony Hanmer Tbilisi, (Republic of) Georgia _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 24-10-01 (Mandelbrot Mania [6]) Date: 24 Oct 2001 10:58:55 EDT FOTD -- October 24, 2001 (Rating 6) Fractal visionaries and enthusiasts: Once again I must let down my faithful readers, who were (hopefully) waiting with bated breath for further adventures on the hypersphere. Unexpected work arrived, leaving me no time to write. But I did find time to dredge up a quickie fractal. (In the future, I will not promise an article until I actually have it written and composed.) The formula of today's fractal subtracts 1.3 parts of Z^(0.9) from 1.3 parts of Z^(-1.1) and adds 1/C, producing a 3-lobed figure that is quite sensitive to the bailout radius. The scene of today's image is deep on the left side of the right valley. I named the image Mandelbrot Mania because of the appearance of the parent fractal more than the appearance of the image itself. I rated it a 6 because it's a little better than a 5 and not quite worth a 7. The render time of 44 minutes is a bit much to ask for an image that rates only a 6, so I recommending downloading the GIF image from: or from: where the image will soon be posted. The day began cloudy and foggy here at Fractal Central, but by noon the sun burned off the dampness, leading to a warm afternoon with a temperature of 79F 26C. The fractal cats enjoyed much of their time outdoors, but still managed to find something to fight about. All ended well however, with the dynamic duo sleeping together peacefully on the porch. (For a bit of philosophy, check the philofractal list.) With a day's work waiting to be done, I must now close the FOTD and get busy on other matters. But I'll return in the proper time. Until then, take care, and hope for the best. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Mania { ; time=0:45:23.09--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.07345537336418037/+0.042097568866235\ 17/3.724103e+007/1/-115.000000007003862/5.70113192\ 766008581e-009 params=1.3/-1.1/-1.3/0.9/0/50 float=y maxiter=6000 inside=0 logmap=745 colors=000WffVjmVjkVjjUjiUjhUkfTkeTkdTkbSkaSk`Sk_R\ lYRlXQlWQjUQhTPfSPdRTbSU`TUZUVXVWVWXTXYRYYP_ZN`_La\ `JbaJcaJdbJecKfdKgdKheMifOigQihSjiUjjWjkYjkZkl`kmb\ kndkoflphlqjlrmmqklpiloglnekmcklbkk`kjZjiXjhVjhUjg\ SifQieOidMhcKhbJhaHh`Fg_DgZBgY8hZAgZBfZDf_Ee_GdXHb\ `Jc`Kb`MbaNaaP``PaaQ`aQ`aR_aR_aS_aSZaTZaTZbTYbUYbU\ XbVXbVXbWWbWWbWWcXVcXVcYUcYUcZUcZTc_Tc_Td_Sd`Sd`Rd\ aRdaRabQZUQWbQTbQQ`INZALXCIVDJTEJRFKPGLNIMFJMGKNHL\ OIMPJOPKPQLQRMRSNSSOUTPVUQWVRXVRYXQWYPVYOUXNTWNRWM\ QVLPXKOPFNZJL`IKaHJcGIdGGUFFZEEhDDiDChFE`HFbJHfLIf\ NJePLaRMeTOfVPfXQgZSg`ThbVhdWifXihZjj_ilainbhpchre\ gtfetdgsgiqjkllmgoobrpXsqYtjZob_jW_eO``HaW9bR2aL2b\ M3cN4cN5dO6dO7eP8fQ9fQAgRBgRCiSDjSElTFnUGoUHqVIrVJ\ tWKvXLwXMwYNvYOwZOw_OuZ2tS2rT3rU4rV5qV6qW7qX8oY9oY\ AnZBn_CmbDmgEllFlqGlvHlzIlzJlzKlzLkzMkzNkzOkzPkzQk\ zRjzSjzTjzUjzVjzWjzXizWjz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 25-10-01 (Threads of Infinity [6]) Date: 25 Oct 2001 09:39:11 EDT FOTD -- October 25, 2001 (Rating 6) Fractal visionaries and enthusiasts: It's another very busy day here at Fractal Central, which means another brief FOTD discussion. I view such days with mixed emotions, of course. On the one hand, busy days mean more money to buy a faster fractal-finding machine, but on the other hand, busy days mean little time to actually search for the fractals. Also due to the rush, the continuation of the misadventures on the hypersphere will have to wait at least two more days. Today's fractal, which takes 13 minutes to render, took about 1/2 hour to find. This is about the average time that passes between going into fractal mode and actually finding the midget of the day. To this time must be added the render time of the image. Luckily, I can write the discussion on a separate machine. The formula that created today's image takes 10 parts of 1/Z and subtracts one part of Z before adding 1/C. The resulting parent fractal appears as a half-obscured Mandeloid standing on its nose. The midget in today's image is located in a spiral on the left shore of the East Valley of the Mandeloid, which in today's case is actually a North Valley. The elements of the spiral are unusually rope-like, inspiring the name "Threads of Infinity". The name also could have been inspired by the name of an old TV program about fractals, which is titled "Colors of Infinity". The image rates a 6, and renders in 13 minutes. The GIF image downloads in only one minute. The image may be found at the URL's: and: The fractal weather today was very summer-like, with warm sun and a temperature of 83F 28C. The fractal cats, who have been quarreling lately, enjoyed an afternoon in the yard, and actually managed to get through the entire afternoon without getting into a fight. And I'm about to 'enjoy' a busy day, so until next FOTD, take care, and the less you try to make sense of things, the more sense they'll make. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ ThreadsOf_Infinity { ; time=0:13:19.83--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.00007793807533362/+0.112392194825511\ 90/5.776346e+008/1/22.5000000881690916/-2.05411887\ 214956845e-007 params=10/-1/-1/1/0/0 float=y maxiter=1200 inside=0 logmap=178 colors=0000JdTWYegThfMldHpcAsc5ig6`j6VgCOdHIbMC`Q5\ ZV0W`0Te0Si0Vf1Xd2_a9``FbZLbYQcXXdVadUhfTmgSsgSh_U\ YTXONZDG`CGXCGUCGQCGNCGJCGHCGDCGACG6CG3CG0CG0BL0BR\ 0BW0B`0Bf0Bk0Bp0Bv0By0By0By0Dy0Gx0Is1Ll6OfCQ`HTVMW\ OSYJX`Caa7eeChhGikKjmOlpSmtWpw_qxcrxgtxkuxjttjtojt\ ijtdjt_jtVjtPhrKhrFhr9hr4hr0hr0hr0fp2dn6clB`jD_hHZ\ fLXePVbTTaWSZ_PYcOVgNUiLTkNQlNNlOMmOJmPIoPFoREpRCp\ SAqS8qT6sT3uV2xV0xX0x_3xW9xPDwOIsNMpKSpJVpH`oGdoFi\ oEmhCeaCYXBQQBIK9AF92880280B70I73Q7AY7Id7Pl7Xt7bx7\ jx7qxClxGfxKbxOYxTUxXPx`LxdFxhCxcFwZIsTLmONiJQdET`\ BVWEYSG`PJbMLeKOhMRjPTmSWpW_rX`rYbu_cu`duafucgudhj\ ejagkShlIimNkoJlpHmqEosApt8qv5sw1tw0wv0xv0xt0xt0xq\ 0up1qm3ml6ij9ehCafEYdHVbJQ`MO_PQ_ST_UW_XY_Z__aa_dd\ _fg_ih_lk_nm_qp_tq_ulZuhZud_u``uXbuScuSduSfuSguShu\ TjuVkuWluXmuYou_pu`quasuctudvudvudvudvudvudvudvudv\ udvudvudvuevugvuhvuivukvu } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 26-10-01 (A Chilling Chiller [6]) Date: 26 Oct 2001 11:06:45 EDT FOTD -- October 26, 2001 (Rating 6) Fractal visionaries and enthusiasts: Another rushed day brings another short discussion. I gave today's image the name "A Chilling Chiller" because of the somewhat ominous feeling it produces. This effect would work as the starting point for the cover of a cheap horror novel. The brownish elements around the midget, with their sharp points, have a vague resemblance to a colony of roosting bats, and with the lack of strong reds, the remaining blues and greens add to the ominous overall feeling. The formula of the parent fractal is a simple Z^(2.1)+C, with the resulting figure being sliced a bit up the infinite logarithmic spiral. The rating of 6 is perhaps a bit high for this hasty image, which rendered while I tended to other tasks. The render time of 34 minutes is slow enough to make a trip to Paul's web site at: or Scott's site at: worth the effort. The fractal weather today was once again summer-like, with blue skies and a temperature of 77F 25C. But the brisk winds had the fractal cats uneasy, cutting their outdoor time by well over half. It's now time to return to the daily grind, and do what needs to be done. One of these days I'll get around to that hypersphere, but today is not the day. I shall return tomorrow however, with the next FOTD. Until then, take care, and worry not. (If possible) Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Chilling_Chiller { ; time=0:34:43.34--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.47311802838614140/+0.585934696010908\ 20/1.223377e+010/1/-122.5000875222524/0.0002730490\ 83844949247 params=2.1/0/0/0 float=y maxiter=10000 inside=0 logmap=790 periodicity=25 colors=000TawRcwPewNgvLiwJlwHowJlzLjeNhcOdaQaZSZXU\ VUVSSXPPZLM`IKaFHcBEe8Cg59h27i5Aj7Dk9GlBJlDMmFOnHR\ oJUoLXpN_qPbrRdrTgsVjtXmuZpu`rr_rp_rn_rl_rj_rh_rf_\ rd_rb_r`_rZ_rX_rV_rT_rR_rP_rN_rL_rJ_rH_rF_rLUoQOmV\ Ij_Chd6fc8gc9gbAhbBhbCiaDiaEjaFj`Gk`Hk_Il_Jl_KmZLm\ ZMnZNnXMmWLlULkTKkRJjQJiOIhNIhLHgKGfIGeHFeGEdEEcDD\ bBDbACa8B`7B_5A_49Z29Y18X08XCFQOLJ_SCkY5gW4dU4aT4Z\ R4WP3TO3QM3NL3MO5MR7MU9LWBLZDLaFKcHKfJKiLKkNJhMIfL\ IdKHbJG`IGYHFWGEUFESEDQDDOCCLBBJABH9AF89D79A688576\ 474362260155A49I3EQ3IZ2Nf1Rn1Vv4`t7er9jqCooFtmZzlL\ tbPmUNhTLcSKZRIYQHYPFYOEZNCZMAZL9_K7_J6_I4`H3`G1`F\ 0`E4bI7cLBeOEfRHhULiYOk`SlcVnfYoiapldpngqqkrtnswqs\ yoqxmoxkmwikwgjwehwcfwadw_cwYcwWcwUcwScwQcwOcwMcwK\ cwIcwGcwIcwJcwLcwMcwNcwPcwQcwScwTcwUcwPcwKcwFcwAcw\ 5cw0cw1cw2cw3cw4cw4cw5cw6cw7cw8cw8cw9cwAcwBcwCcwCc\ wDcwEcwFcwGcwGcwHcwXcwVcw } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z| The elements of the spiral are unusually rope-like, inspiring > the name "Threads of Infinity". The name also could have been > inspired by the name of an old TV program about fractals, which > is titled "Colors of Infinity". Was this program narrated by Arthur C. Clarke? The first time I ever heard of fractals was a show on PBS about them. All I remember was a zoom into the Mandelbrot set with Arthur C. Clarke talking. A few months later, I got internet access and came across a (not very good) Mandelbrot explorer almost by accident. I remembered the word Mandelbrot from the show, downloaded it, and I was hooked. If anyone can name the show based on this vague description, tell me. Jon K. ________________________________________________________________ GET INTERNET ACCESS FROM JUNO! Juno offers FREE or PREMIUM Internet access for less! Join Juno today! For your FREE software, visit: http://dl.www.juno.com/get/web/. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) FOTD 25-10-01 (Threads of Infinity [6]) Date: 27 Oct 2001 12:57:08 +1300 At 16:44 26/10/2001 -0500, the_juggernaut@juno.com wrote: > > The elements of the spiral are unusually rope-like, inspiring > > the name "Threads of Infinity". The name also could have been > > inspired by the name of an old TV program about fractals, which > > is titled "Colors of Infinity". > >Was this program narrated by Arthur C. Clarke? The first time I ever >heard of fractals was a show on PBS about them. All I remember was a >zoom into the Mandelbrot set with Arthur C. Clarke talking. A few months >later, I got internet access and came across a (not very good) Mandelbrot >explorer almost by accident. I remembered the word Mandelbrot from the >show, downloaded it, and I was hooked. > >If anyone can name the show based on this vague description, tell me. "Colours of Infinity: Exploring the Fractal Universe", published in 1994 (with a soundtrak by David Gilmour). It grew out of a speech Clarke had given in 1989. An extract of the speech is at the end of Clarke's 1990 novel _The Ghost From the Grand Banks_, where he introduces it thus: In November 1989, when receiving the Association of Space Explorers' Special Achievement Award in Riyadh, Saudi Arabia, I had the privilege of addressing the largest gathering of astronauts and cosmonauts ever assembled at one place. (More than fifty, according to Apollo 11's Buzz Aldrin and Mike Collins, and the first "space walker" Alexei Leonov, who is no longer embarrassed at sharing the dedication of _2010: Odyssey Two_ with Andrei Sakharow.) I decided to expand their horizons by introducing them to something _really_ large, and, with astronaut Prince Sultan bin Salman bin Abdul Aziz in the chair, delivered a lavishly illustrated lecture "The Colours of Infinity: Exploring the Fractal Universe". The material that follows is extracted from my speech; another portion appears at the beginning of Chapter 15. I'm only sorry that I cannot illustrate it with the gorgeous 35-millimetre slides - and videos - I used at Riyadh. Try "http://klru.worldpost.com/publicarea/ViewProgram.asp?VsnID=45398" Morgan L. Owens "Yet the most astonishing feature of the M-set is its basic _simplicity_." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 25-10-01 (Threads of Infinity [6]) Date: 26 Oct 2001 20:38:50 -0500 the_juggernaut@juno.com wrote: > > Was this program narrated by Arthur C. Clarke? > ........ > If anyone can name the show based on this vague > description, tell me. I acquired a copy of the video quite some time ago, but I hear that it can now be purchased from the following (at a much higher price): http://www.films.com/item.cfm?bin=4976 Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 27-10-01 (Electric Minibrot [9]) Date: 27 Oct 2001 10:17:12 EDT FOTD -- October 27, 2001 (Rating 9) Fractal visionaries and enthusiasts: Due to the continuing rush, the discussion will once again be short. But the rush is nearly finished, so hopefully, in the next FOTD, I'll return to the hypersurface (curved 3-D space) of the hypersphere to explain how one might find their way from one place to another. Today's FOTD is not a total loss however, for the image is one of the select few to have rated a 9. The formula behind the image adds a tiny negative portion of 1/Z to a much larger portion of Z, then adds 1/C. The resulting parent fractal is a curious Mandeloid with broad bands of chaos on its east side, but only very narrow bands on its west side. Today's midget is located near the tip of a meandering, curving chaotic area in the narrow band of chaos on the northwest shore of the main west bud. I named the picture "Electric Minibrot" when the zig-zag filaments reminded me of stylized lightning. The glowing white balls could also be seen as samples of those rare glowing blobs of plasma known as ball lightning, which by the way I have never observed. Whether the rating of 9 is justified is up to the viewer to decide. The 13-minute, 13-and-13-hundredths seconds render time, which consists of a string of unlucky 13's, is a bit slow. The wise and lucky choice would be to download the GIF image from: or from: The fractal weather today (Friday) here at fractal central was chilly and blustery. The temperature of 59F 15C was not too cold, but combined with the brisk wind, it was enough to keep the sensitive cats house bound. The cats got grouchy. As for me, I'm going to wrap up the last of the serious work so that I can get to the even more serious work of searching for the next fractal. That next fractal will appear as tomorrow's FOTD. Until then, take care, be patient, but not so patient that you become a patient. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Electric_Minibrot { ; time=0:13:13.13--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.396786690594519/+1.241589333886222/3\ .216269e+011/1/107.489681409293439/0.0032344174442\ 0335797 params=-1.05/1/-0.000315/-1/0/0 float=y maxiter=1200 inside=0 logmap=245 mathtolerance=/1 symmetry=none periodicity=0 colors=000zzz5VG8UHBSJDRKGPMJONLMOOLQRJRTITWGUZFW`\ DXcCYfA_h9`k7bn6cp5dm4bk4ai4`g4Ze4Yc3Xa3V_3UY3TW3R\ T2QR2PP2NN2ML2LJ1JH1IF1HD1FB0E90DB2ED4EE6FG8FH9FJC\ GLBGMEHOFHPGHRGGSHFTHEVHDWICXIBZKB_KA`L9aL8cM7dM6e\ M5gN5hN4iN3kN2lN1mN0nN0oM1pM1pM2qM2qM3rM3sL3sK4tJ4\ tI5uH5uH5tJ8tLBtNEsPHsRJsSMsUPrWSrYUr_Xqa_qbbqdeqf\ jphopjtplzpmzmhzjcwgZrdUmbTh_WcXZZVbUSfPPjINnGKrFH\ vFFvFHsLJnQKiVMe_O_dPViRSnSQsVTpXVn_Yla_jdahfbficd\ kebnf`phZsiXujVokQikMckIYkDSk9Nk5hlfnibtf_ycXwaWu`\ Wt_WrZWqYWoWWnVWlUWkTWiSWhRWfPWeOWcNWbMW`LW_KWaPTb\ TRcXOd`MedKfhHglFhpCitAjx8iu9irAioBhlChiDhfEhdFgaG\ gZHgWIfTJfQKfNLfLMeINeFOeCPd9Qd6Rd3Sd1Te6ReAQfEPfJ\ OgNNgRMhWLh_KicJigIjhPjiWkjbkkillpllwkfojahiWahUVg\ UOfUHeUAdU3eU5fT7gW9gYAh_CiaEicGjeHkgJkhLliNmjOnkQ\ nlSomUpnVpoXqpZrq`rrassastasuatvatwatxarybqzcpzdoz\ enzemzflzgkzhKzVGzQBzM6zI } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 28-10-01 (Midget in the Woods [8]) Date: 28 Oct 2001 09:56:52 EST FOTD -- October 28, 2001 (Rating 8) Fractal visionaries and enthusiasts: My first impression of today's fractal scene was one of a mass of dense alien foliage, perhaps starting to turn yellow with the approach of alien Autumn. Then, when I saw the Mandelbrot midget in the midst of the brush, I named the image "Midget in the Woods". The most unusual feature of the 8-rated image may be the totally different nature of the areas north and south of the midget. North of the midget, the surroundings appear solid, like a more or less normal fractal scene. But to the south, the features resemble an archipelago of islands interlaced with open areas of water. The dividing line cuts straight through the center of the midget. This dividing line is explained by examining the parent fractal, which is a circular open hole filled with fractal debris. The chains of debris extend beyond the open area and continue well into the solid area surrounding the hole. The size of the hole is dependent on the bailout, which is specified by the imag(p3) parameter. The greater the bailout value, the larger the hole. Knowing that the size of the hole varies with the value of the bailout, I found it simple to take a reasonably interesting midget on the outside of the open area and increase the bailout until the edge of the open area expanded to cut straight through the center of the midget. It took a few trials to find the exact bailout, but the image is a very fast one, so this was no problem. Once I had fixed the bailout, it was only a matter of finding a reasonable color palette. Not counting the set-up time, the attached parameter file runs in 1-1/2 minutes. Not counting the time required to go on-line, retrieving the GIF image will take about the same time. Those who decide to download the GIF image will find it waiting at: and at: But before going there, give Paul and Scott a few minutes to render and post the image. The fractal weather today was quite chilly, with brisk winds, heavy clouds, occasional spits of rain, and a temperature of 52F 11C. These conditions limited the fractal cats to only a few minutes outdoors, but they didn't complain too much, and were actually rather refined cats most of the day. I've been thinking much (a rare event) about the fourth dimension and the hypersphere lately, and have decided that the best place to start is at the surface. The surface (or hypersurface) of a hypersphere is a three- dimensional space of constant positive curvature. Limited portions of this curved space appear exactly like our familiar 'real' space, though as the range of vision grows larger, strange differences appear. One of the most intuitive features of the 'real' world is that the farther away an object lies, the smaller it appears, until it finally disappears altogether. To our everyday minds, it must be this way. Common sense dictates that it could not possibly be any other way. If our space were the surface of a hypersphere however, common sense would lead to a wrong conclusion. An object would first appear smaller with increasing distance in the expected manner, but then, once it passed beyond a distance of one quadrant (90 degrees), it would begin to appear larger, until it reached the antipode (opposite point) of the hypersphere, when the object would appear horrendously magnified, surrounding us in all directions. Of course, the motion of objects, the finite speed of light, and the ripples in space caused by the presence of mass would prevent the ultimate view from being the back of our own head. But the apparent increase in size with increasing distance should easily be observable. To my knowledge, we have not observed this effect in our universe. This may be because we cannot observe a large enough volume of space, but most likely it is because our universe is not shaped like the hypersurface of a hypersphere, but rather more like a pseudosphere. But a pseudosphere is a different animal entirely, which makes a different story. We'll not get into that story -- at least not yet. In the next FOTD I'll lay out the latitude, longitude and altitude grid on the hypersurface of a hypersphere. Until then, when we'll all have our bearings, take care, and don't get lost. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ MidgetInTheWoods { ; time=0:01:31.61--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.81788303560401100/+0.010023098963900\ 95/3360.9/1/80.0000000001628422/-1.592690701546217\ 72e-010 params=1/-1.5/2/-15/0/245400000 float=y maxiter=275 inside=0 logmap=20 colors=000dSWh`XifVilTjrRjxPdrM_lJVfHP`EKVCFP9AJ7I\ J6QJ5YJ4jJ3rJ3zP7mUAgZDedHciKbnNWgOQaPKWQJTRIRSHPT\ HNUGLVFJWEHXEFY7EX0EW5CXABYF9ZK8_P6`U5aY4bV6cS7dQ9\ dRAeSDeTGfUJgVMgWPhXShYVgZYf_Ze`_daacbbbccadd`ee_f\ cZgaYiZXkXWmUVoSVqPVsMWuKXwHYyFZzC_zA`zCazDazEazGa\ zHazIbzKbzLbzMbzObzPczQczSczTczUczVczXezYfzZgz_hza\ izbjzclzdmzfnzgozhpziqzjrzkkzldzmbzn`znZzoXzoVzpUz\ pSzqQzrOzrMzsLzsJztHztFzuDzuCzvDzvEzwFzwGzxHzxIzyJ\ zyKzzLzzMzzNzzOzzPzzPzyNzwMzuLzrKzpJznHzlGziFzgEze\ DzcCzbBzaAz`Az_9zZ9zY8zY8zX7zW7zV6zU6zT5zT5zcJzmXz\ kWziWzgWzfVzdVzbVzaUz_UzYUzXTzVTzTTzSSzQSzOSzNSzKW\ zI_zGczEgzBkz9oz7sz5vzArzFnzKjzPfzUbzYZzbVzgRzlNzq\ JzoFzlAziJzfSzc`z`izYqz`kzcfzfazhXzkSznNzqIzoDzmKz\ hQzcXzZbzUizPozNpzKqzIrzGszDtzBuz9vzJmzTezaYzXUzTR\ zPOzLKzHHzDEz9BzCEzEGzGIzIKzKMzMOzOQzQSzSUzUWzWYzY\ _z_bzadzcfzehzgjzilzknzmp } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Phil DiGiorgi" Subject: (fractint) Fractint on Windows XP Date: 28 Oct 2001 16:39:02 -0500 Is it possible? I've been unsuccessful so far. I still have a win 98 partition I can boot with, but don't need it for anything else anymore. Anyone? Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) FOTD 28-10-01 (Midget in the Woods [8]) Date: 29 Oct 2001 13:09:38 +0000 >From: JimMuth@aol.com >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >CC: philofractal@lists.fractalus.com >Subject: (fractint) FOTD 28-10-01 (Midget in the Woods [8]) >Date: Sun, 28 Oct 2001 09:56:52 EST > >FOTD -- October 28, 2001 (Rating 8) encore! encore! Thanks. Andrew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 29-10-01 (Randomized Colors [6.5]) Date: 29 Oct 2001 10:54:39 EST FOTD -- October 29, 2001 (Rating 6-1/2) Fractal visionaries and enthusiasts: I named today's image for its basically random color palette. Except in the areas near the center, where I emphasized the midget's surroundings with a soft green glow, the entire scene is colored with one on the random palettes created with the key. The resulting fractal is vivid, though the disorganization of its colors holds its rating to no more than a 6-1/2. The name "Randomized Colors" needs no explanation. The parent fractal of today's scene has perhaps the most irregular shape that I have yet come upon, and likely will produce several more FOTD's before being discarded to the fractal archives. It is well worth an outzoom and a look. But before doing an outzoom, reset the logmap to 0. The 17-minute render time from the attached parameter file is a bit trying. The better choice is to download the GIF image from Paul's web site at: or from Scott's site at: With the fractal image under control, it's time to return to the four-dimensional abstraction known as the hypersphere. Like a spherical 3-D planet, a hyperspherical 4-D planet has an equator, a great circle that lies in the plane of rotation. But unlike a 3-D planet, a hyperplanet also has a polar great circle. This polar circle marks the axis of rotation. As the hyperplanet rotates, the points of the equator rotate in the normal 3-D manner, but every point along the polar circle turns on itself, remaining fixed in position exactly like the two polar points of earth. In the case of a 3-D planet, the rotation is simple. Due to the gyroscopic effect, the axis and its orientation will remain fixed unless an outside force is applied, which will cause the axis to rotate. With a 4-D hyperplanet however, the situation is far more complicated. The simple single rotation is a special idealized case, which would almost never be realized. The complication lies in the polar circle, which, even while acting as the axis of rotation of the equator, may itself begin rotating exactly as the equator is already doing, putting the hyperplanet into an entirely new state known as a double rotation. If the two rotations are equal, every point of the hyperplanet but the center point moves in a circle, while the center point remains fixed. If the rotations are unequal, every point spirals around and moves along a circular line, in a screw motion, tracing out a path known as a surface of double revolution, which is a two-dimensional surface curved in four dimensions. This surface somewhat resembles a doughnut. This hyperdoughnut shape is also the shape of the latitude surfaces of a hyperplanet. And in the next FOTD we'll actually lay out a latitude, longitude and altitude grid on our hyperplanet. The fractal weather today (Sunday) was brilliantly sunny but with a chilly temperature of 51F 10.5C. The winds were lighter however, and this permitted the fractal cats to sleep for over an hour in the warm sun of the porch. Unfortunately, being neither a fractal nor a cat, I cannot sleep in the sun. Instead, I find myself with a day's work that needs to be done before I turn to the fantasy world of fractals and hyperspace. But despair not, for the probability is 99.975325 percent that I shall return tomorrow around this same time with another glorious fractal and a few words not quite as glorious. Until then, take care, and if you take perfect care, nothing more will be needed. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Randomized_Colors { ; time=0:16:53.15--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.02460269414871400/+0.015803598960749\ 27/7397888/1/37.5000008972091194/-4.40023098798036\ 916e-007 params=0.439/2.466/1.265/1.372/0/0 float=y maxiter=1800 inside=0 logmap=315 colors=000PcnLXcHPUCKKXEco7vz1zl0rU0Y90CMEMYRVhcds\ olZprFrw7nz1kz0nz0pz4050as0O`09HdzhIcL0zz0iw0Uc0CI\ FKAzszzdxdPdI9ILzv7`SzH2wA0c40I00UaSCICPmXAIEziMoU\ EOC4zPOa99RzOPhzAKYFhz9Xo4KY05FAzA4h40K0zzzsix`UdH\ CItA70zn0t`0`O0F9Uz1Io05O0Enz7Xd1EIzolz4zp1tZ0aF0H\ E7r92Z40M009Aex4Rc0AI0zS0XC9oh4aX1OL097g0zV0nK0X70\ EzFHVOzMHoE9Y41Fo54a21O00900zKza5Vxz0U`0t00`00H00x\ 9Y0Vz0Lo0CY02FMIz95VzUzsKx`AdH1Iz0zzwzVScA0`40M009\ ozzYgsFKRIzz5ZY0HI0AC045000rAsP1R`0EPEztY9`L4H700v\ 00R0MezFUl9IX15E91r40c10P00AKAz71c0Ve0CKzzaHzV5XE7\ t41R01zzszz`peHOKzz1sp0RO0zKnwC`c5OI09rF7P417zc2dP\ 0IAE1a90R40H0055IV19K017zCpi5YL0FIV0CL05C0020OcgHK\ V9MK1O7zPrxdPlSwMUSMVz9XXzYzhZgL`KCaP2cA2dz0ew0gc0\ hI4ig1kS0lCsnz`odHpIZrRPsIFtA4v25wpixwrzFZz7Fz1Vz1\ gzzzzzvzwazcHzIOzsEz`4zHczpzzMezEKz4SzzSzdHzP5zAzz\ 0azxRzhHzU5zC0zzzz`czHzzt } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) Fractint on Windows XP Date: 29 Oct 2001 21:59:44 +0100 At 16:39 28/10/01 -0500, you wrote: >Is it possible? I've been unsuccessful so far. I still have a win 98 >partition I can boot with, but don't need it for anything else anymore. > >Anyone? but Fractint don't run very fast under Win XP, I must push [Enter] when generating a fractal, then it run fast for c. 10 lines and slow down until the next [Enter] get pushed... cheers, Guy > > > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 29 Oct 2001 17:35:31 -0500 ------=_NextPart_001_0001_01C160A0.1BF724A0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Two problems with that description. First of all, if a hyperplanet accret= ed in 4-space it would most probably have angular momentum about every po= ssible axis -- a rotation matrix like | cos a sin a 0 0| |-sin a cos a 0 0| | 0 0 cos b sin b| | 0 0 -sin b cos b| describes a rotation a 4-sphere with no fixed points on the surface. Such= a planet would have no poles at all. The more serious problem is that it would spiral into its sun in finite t= ime, or spiral away into deep space. There are no stable orbits in a four= -space (inverse-cube) gravity.
Get your FREE download = of MSN Explorer at htt= p://explorer.msn.com
------=_NextPart_001_0001_01C160A0.1BF724A0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
<snip>
 
Two problems with that description. First of = all, if a hyperplanet accreted in 4-space it would most probably have ang= ular momentum about every possible axis -- a rotation matrix like
<= DIV> 
| cos a   sin a    &n= bsp;  0       0|
|-sin a&nb= sp;  cos a       0   &n= bsp;   0|
|     0   &n= bsp;   0   cos b   sin b|
| = ;    0       0  -s= in b   cos b|
 
describes a rotation= a 4-sphere with no fixed points on the surface. Such a planet would have= no poles at all.
 
The more serious problem i= s that it would spiral into its sun in finite time, or spiral away into d= eep space. There are no stable orbits in a four-space (inverse-cube) grav= ity.
 


Ge= t your FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0001_01C160A0.1BF724A0-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 25-10-01 (Threads of Infinity [6]) Date: 29 Oct 2001 17:46:26 -0500 ------=_NextPart_001_0002_01C160A1.A2BA3D00 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Was this program narrated by Arthur C. Clarke? Yes, yes it was. > ...A few months later, I got internet access and came across a (not ver= y good) > Mandelbrot explorer almost by accident. I remembered the word Mandelbr= ot from > the show, downloaded it, and I was hooked. > If anyone can name the show based on this vague description, tell me. Nah, the real $64,000 question here is: when and how did you discover Fr= actint and replace the old clunker you used to have? :)
Get y= our FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0002_01C160A1.A2BA3D00 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> Was this = program narrated by Arthur C. Clarke?
 
Yes, y= es it was.
 
> ...A few months later, I got= internet access and came across a (not very good)
> Mandel= brot explorer almost by accident.  I remembered the word Mandelbrot = from
> the show, downloaded it, and I was hooked.
<= BR>> If anyone can name the show based on this vague description, tell= me.
Nah, the real  $64,000 question here is: when an= d how did you discover Fractint
and replace the old clunker yo= u used to have? :)


Get yo= ur FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0002_01C160A1.A2BA3D00-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 28-10-01 (Midget in the Woods [8]) Date: 29 Oct 2001 18:00:54 -0500 ------=_NextPart_001_0003_01C160A3.A790B960 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > The most unusual feature of the 8-rated image... ^^^^^^^ Bah! You stingy bastard! You underrated yet another one. Try 9, maybe 10.= :)
Get your FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0003_01C160A3.A790B960 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> The most = unusual feature of the 8-rated image...
   &nbs= p;            = ;            =       ^^^^^^^
Bah! You stingy bastard= ! You underrated yet another one. Try 9, maybe 10. :)
=


Get your FREE download of MSN Explorer at http://explorer.msn.com<= /a>
------=_NextPart_001_0003_01C160A3.A790B960-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 29 Oct 2001 18:03:05 -0500 ------=_NextPart_001_0004_01C160A3.F548A8C0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > | cos a sin a 0 0| > |-sin a cos a 0 0| > | 0 0 cos b sin b| > | 0 0 -sin b cos b| > > describes a rotation a 4-sphere with no fixed points on the surface. Su= ch a planet would have no poles at all. Correction: only if neither a nor b is an integer multiple of pi...
Get your FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0004_01C160A3.F548A8C0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> | cos a&n= bsp;  sin a       0   &= nbsp;   0|
> |-sin a   cos a  = ;     0       0|
=
> |     0       0&nb= sp;  cos b   sin b|
> |     0=        0  -sin b   cos = b|
>
> describes a rotation a 4-sphere with n= o fixed points on the surface. Such a planet would have no poles at all.<= /DIV>
 
Correction: only if neither a nor b is an in= teger multiple of pi...


G= et your FREE download of MSN Explorer at http://explorer.msn.com
------=_NextPart_001_0004_01C160A3.F548A8C0-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 29 Oct 2001 22:38:43 EST Multiple Bogeys wrote: >Two problems with that description. First of all, if a hyperplanet accreted in 4-space >it would most probably have angular momentum about every possible axis -- >a rotation matrix like >| cos a sin a 0 0| >|-sin a cos a 0 0| >| 0 0 cos b sin b| >| 0 0 -sin b cos b| >describes a rotation a 4-sphere with no fixed points on the surface. Such a planet >would have no poles at all. True. But my description illustrates an idealized case. In the FOTD for the 29th I go into the multiple rotations. >The more serious problem is that it would spiral into its sun in finite time, or spiral >away into deep space. There are no stable orbits in a four-space (inverse-cube) >gravity. Unfortunately also true. And it takes much of the fun out of hypothesizing four-space and higher space planets. But my hypothetical planet is precariously balanced precisely in an orbit where it can circle its sun for a time long enough for intelligent life to develop before it escapes or is incinerated. I assume that the life will develop the technology to keep the planet in its proper place. BTW, permanent orbits are possible in two space, though the orbits will precess at a fairly rapid rate. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: Re: (fractint) Fractint on Windows XP Date: 29 Oct 2001 21:15:47 -1000 Sounds like WXP is giving it some clock time, then reacting to Fractint which maybe appears to be idle because it's polling for keyboard input and not getting any. You can probably adjust priorities of Fractint under WXP? Sorry, can't help you, OS/2 doesn't give me this problem. There used to be a DOS utility program that made such apps behave themselves under multitasking OSes. Maybe someone remebers? David gnome@hawaii.rr.com On 29 Oct 01 at 21:59, Guy Marson wrote: > At 16:39 28/10/01 -0500, you wrote: > >Is it possible? I've been unsuccessful so far. I still have a win 98 > >partition I can boot with, but don't need it for anything else anymore. > > > >Anyone? > > but Fractint don't run very fast under Win XP, I must > push [Enter] when generating a fractal, then it run fast > for c. 10 lines and slow down until the next [Enter] get > pushed... Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Rupert Millard" Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 30 Oct 2001 08:38:08 +0000 Hi, I'm sure I read in a book that life wasn't possible in 4 dimensions, although it didn't explain the reason. Does anyone know why? Rupert >From: JimMuth@aol.com >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) >Date: Mon, 29 Oct 2001 22:38:43 EST > >Unfortunately also true. And it takes much of the fun out of hypothesizing >four-space >and higher space planets. But my hypothetical planet is precariously >balanced >precisely in an orbit where it can circle its sun for a time long enough >for >intelligent >life to develop before it escapes or is incinerated. I assume that the >life >will develop >the technology to keep the planet in its proper place. > >BTW, permanent orbits are possible in two space, though the orbits will >precess at >a fairly rapid rate. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 30 Oct 2001 22:19:10 +1300 At 22:38 29/10/2001 -0500, JimMuth@aol.com wrote: >Unfortunately also true. And it takes much of the fun out of hypothesizing >four-space >and higher space planets. But my hypothetical planet is precariously >balanced >precisely in an orbit where it can circle its sun for a time long enough for >intelligent >life to develop before it escapes or is incinerated. I assume that the life >will develop >the technology to keep the planet in its proper place. In Greg Egan's novel _Diaspora_, a five-dimensional world is explored; the problem of there being no stable orbits is handled quite handily. Morgan L. Owens "It's bigger than it looks." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 30 Oct 2001 22:34:32 +1300 At 08:38 30/10/2001 +0000, Rupert Millard wrote: >Hi, > >I'm sure I read in a book that life wasn't possible in 4 dimensions, >although it didn't explain the reason. Does anyone know why? Based on the assumption that the only form of life that can exist is the sort that we're familiar with, and the fact that physical laws are different in four-dimensional space (the no-stable-orbits problem also applies to electromagnetism, for example) to an extent that life of the sort we're familiar with cannot exist in four-dimensional space... Morgan L. Owens "Not much of a reason - no wonder it wasn't given." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Fractint on Windows XP Date: 30 Oct 2001 10:12:07 -0600 David Jones wrote: > > Guy Marson wrote: > > > > ...I must push [Enter] when generating a fractal... > > > Sounds like WXP is giving it some clock time, > then reacting to Fractint which maybe appears > to be idle because it's polling for keyboard > input and not getting any. In what manner are you running FractInt under XP?? 1. From the START | RUN selection. 2. From an icon shortcut on the Desktop. 3. From a PIF link to the program. Have you checked the Properties if running from a link or icon?? If it is like the Win-95 and 98, then you may have settings you can adjust, such as "Idle Sensitivity" (which should be at Low). Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 30-10-01 (Cyclone of Numbers [8]) Date: 30 Oct 2001 11:19:22 EST FOTD -- October 30, 2001 (Rating 8) Fractal visionaries and enthusiasts: Most cyclones consist of a lot of wind and rain, but today's fractal cyclone was created by numbers. In recognition of this fact, I named the image "Cyclone of Numbers". It's a rather striking and brilliant image, one that, with its bronze disk around the midget, honestly earns its exalted rating of 8. The formula that produces the image subtracts some Z^(0.6) from some Z^(2.3) and adds the standard C. The overly critical values of real(p1) and real(p2) show that the parent fractal, which is well worth a look, was found with the evolver feature of Fractint, a feature I often use when I need a fractal and time is short. Unfortunately, the parameter file is slow. It takes almost 27 minutes to render on my creaky old Pentium running at 200mhz. But as always, salvation is at hand in the form of the rendered image, which is available on the W.W.Web at: and at: The fractal weather today turned out to be much more to the cats' liking. The sunny skies, light winds, and temperature of 61F 16C made conditions on the porch ideal for sleeping. This is what the fractal cats did all afternoon, while in some amazing manner continuing to guard Fractal Central like two fearless watchcats. (When an intruder threatens, the cats' attack is quite effective. The draft behind them as they dash for cover knocks the intruder flat.) But even such intrepid cats would be lost on a 4-dimensional hyperplanet without a longitude-altitude-latitude grid to fix their position. To actually fix a position on such a planet, we can start at a defined zero-zero-zero point, just as we do on earth, where the zero-zero point lies off the west coast of Africa. From this point we can lay out the great circle of the equator, which, just as on earth, circles the planet at its broadest point. By specifying a point on this equatorial circle (longitude), we define a great sphere of the hyperspherical planet. We can then discard the rest of the equatorial circle, and let it slip into hyperspace. We are left with a normal 3-D sphere, which we can fully visualize. This sphere can be taken as a longitude surface of the hypersphere. Our location on this sphere can then be taken as one of the sphere's poles. The equator of the entire hypersphere still cuts through the sphere at this polar point, though the remainder of the equator is no longer visible. And now, for the first time, we can see the entire polar circle of the hypersphere, which appears 90 degrees away as the apparent equator of the newly-defined sphere, which in this case is a cold zone. From the pole of the sphere it is a simple matter to mark a direction, which defines a circle of the sphere and the altitude of the hypersphere, and a distance, which fixes a point on the circle of the sphere and the latitude on the hypersphere. By discarding one dimension halfway through, we have reduced the locating process to one that can be visualized. If we attempt to remain in hyperspace all the way, things become more difficult. We start with the equator of the hypersphere, just as before, but instead of marking a point on the equator (longitude) and a direction from the equator (altitude), we skip directly to the distance from the equator (latitude). Since the surface of a hypersphere is three-dimensional, we have an entire 360-degree circle of directions in which to depart from the equator. We have defined a shape much like a doughnut. Very near to the equator, this doughnut is very thin, like a hula hoop. The surface of this doughnut marks a latitude surface of the hypersphere. As we move farther from the equator, the doughnut grows fatter, but it no longer fits into 3-D space. In some manner beyond our power of visualization the latitude doughnut reaches 45 degrees toward the polar circle, at which point it surrounds both the polar circle and equator of the hyperplanet in the same manner at a mutual distance of 45 degrees. From here on, the latitude doughnut approaches the polar circle, growing thinner as the latitude increases, until at last it forms a hula hoop around the polar circle. . . . Well, I'll have to finish tomorrow. I seem to have gotten carried away in hyperspace, and now find myself with certain tasks that need to be done. The way to get the tasks finished is to get them started, so until next time, take care, and then do even more. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Cyclone_of_Numbers { ; time=0:26:40.37--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.94163953656643470/+0.130898140289193\ 70/6.093502e+009/1/-25.0000100100820291/0.00017467\ 5444399419177 params=-0.40736/0.6/0.573185/2.3/0/0 float=y maxiter=3000 inside=0 logmap=560 colors=000zXfzXmzXsoduVluAsv0zvTzczzMzyMvuMrpMolMj\ gMfaMcYM_TMVPMSLMOFMJAMG6MC1M70M40M60L70J90IA0GC0F\ D0DF0DG0CI0AJ19L17M36O36PLCQTIQZOUfTcn_mocmlVceOUZ\ FGV7DO09A047004003000000000000C04Q19c6DrAIzCJzCLzC\ LzDMzDOyDOxDPvFQvFQuFSsFTrGTrGVpGXoGXoL_fP`_TcSXdL\ `gCdi4il0lm0fo0ap1Yp6TrCPsILsMGuSCvY7va3xg0xl1rm4m\ o7ip9crC_sFVuGQvDYjAc`9jQ6pF3x41z04z06x07v0As0Cr0D\ o0Fm0Ij0Jg0Lf0Oc0Pa0Q_0SY0PY7OYDLYJJYPIYVFYaDYgAYm\ 9Ys7YyC_zG_zL`zP`zTazYazaazfczjczodzsdzxdzs`zpYzmT\ ziQzfOzcJz_GyXCxT9vP6uM1sJ0rG0pL0lO0iQ1fT3cX4`_6Ya\ 9VdASgCPjDMmFJpGGsIDuMAvP9xS7yX4z_3za1zd0zi0zl0zo0\ zr0zp0zo3zm7zlCzjIyiMygQxfVvd`ucdsair`mr_rg`mYaiRh\ jKhm9ipCgM3lM0pM0uMGmFT69TCITGPV_JWcRXgVMgb0gl4gvK\ gzVgzifzpgzxizrjvllgamzcozdpvfrpJs_OuaQvdVxgYyjazm\ dzp9zsDzvIzyMzzQzzVzz_zzczzzzzzzzyzzvzzszzpzzmzzjz\ zzzzzzzyzzszzvzzxzzzzzzzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: bmc1@airmail.net Subject: Re: (fractint) FOTD 23-10-01 (Something Different [7]) Date: 30 Oct 2001 10:44:21 -0600 Fellow Fractaliers (incl MLO & RM):

Any of you 4/5-D speculators read Science News or Physics Review Letters, or visited the LANL Website in the last few years???

Suggest you take a look at the current state of the art re cosmologic philo-speculation, (http://xxx.lanl.gov/abs/hep-th/0108187), in which the math really works, and results in Hubble-provable hypotheses. They suggest that within the year, we could have objective evidence as to whether the Universe is 11-D (4-D to us mortals) or not, the dimension of the space in which it is embedded, and whether other such intriguing possi- bilities as silicon or iron-based life forms exist elsewhere in the universe, and hyper-c speed travel is likely soon. And the Los Alamos papers (most awaiting publication) are written in language even I could understand.

A good review of the hypersphere links PNL has repeatedly inserted is good prep for the LANL/PRL articles. The LANL and Sante Fe Institute of Complexity archives are really quite amazing fractal resources w/ whole sections relevant to your questions.

D Freed
 
 

"Morgan L. Owens" wrote:

At 08:38 30/10/2001 +0000, Rupert Millard wrote:
>Hi,
>
>I'm sure I read in a book that life wasn't possible in 4 dimensions,
>although it didn't explain the reason. Does anyone know why?

Based on the assumption that the only form of life that can exist is the
sort that we're familiar with, and the fact that physical laws are
different in four-dimensional space (the no-stable-orbits problem also
applies to electromagnetism, for example) to an extent that life of the
sort we're familiar with cannot exist in four-dimensional space...

Morgan L. Owens
"Not much of a reason - no wonder it wasn't given."

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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) Fractint on Windows XP Date: 31 Oct 2001 06:46:18 +0100 At 10:12 30/10/01 -0600, you wrote: >David Jones wrote: >> >> Guy Marson wrote: >> > >> > ...I must push [Enter] when generating a fractal... >> > >> Sounds like WXP is giving it some clock time, >> then reacting to Fractint which maybe appears >> to be idle because it's polling for keyboard >> input and not getting any. > >In what manner are you running FractInt under XP?? > 1. From the START | RUN selection. yeah.. > 2. From an icon shortcut on the Desktop. no.. > 3. From a PIF link to the program. no.. > >Have you checked the Properties if running from a link or icon?? If it >is like the Win-95 and 98, then you may have settings you can adjust, >such as "Idle Sensitivity" (which should be at Low). Thanks, I'll try this and tell you about the results.. > >Sincerely, >P.N.L. >-------------------------------------------------------------- >http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go > cheers, Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: the_juggernaut@juno.com Subject: Re: (fractint) FOTD 25-10-01 (Threads of Infinity [6]) Date: 31 Oct 2001 00:02:49 -0600 This message is in MIME format. Since your mail reader does not understand this format, some or all of this message may not be legible. ----__JNP_000_7e4c.7924.6f59 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit >> If anyone can name the show based on this vague description, tell me. >Nah, the real $64,000 question here is: when and how did you >discover Fractint and replace the old clunker you used to have? :) I found Fractint about as randomly as I found the first program. I can't remember how I found it, but I do remember downloading it just for the hell of it. Actually, I got Dos Fractint and Winfract at the same time. I used Winfract first because the video modes on Fractint didn't work right/confused me. But as anyone who has used winfract knows, it's quite inferior to the real Fractint. I think the first version I had was 19.x. This kind of fits with the discussion about WinXP: I recently got a new computer with WinME. A lot of my old dos programs don't run, giving this error message: Runtime error 200 at 0DEC:0091. or something similar. Anyone know how to get around this? Also, is there a way to run the computer in dos mode? ----__JNP_000_7e4c.7924.6f59 Content-Type: text/html; charset=us-ascii Content-Transfer-Encoding: quoted-printable
>> If anyone can name the show based on this vague description, = tell=20 me.
>Nah, the real  $64,000 question here is: when and how did = you=20 >discover Fractint and replace the old clunker you used to have? :)
 
I found Fractint about as randomly as I found the first program. = I=20 can't remember how I found it, but I do remember downloading it just for = the=20 hell of it.  Actually, I got Dos Fractint and Winfract at the same=20 time.  I used Winfract first because the video modes on Fractint didn'= t=20 work right/confused me.  But as anyone who has used winfract knows, it= 's=20 quite inferior to the real Fractint.  I think the first version I had = was=20 19.x.
 
This kind of fits with the discussion about WinXP:
I recently got a new computer with WinME.  A lot of my old dos=20 programs don't run, giving this error message:
        Runtime error 200 at=20 0DEC:0091.
or something similar.  Anyone know how to get around this?  = Also,=20 is there a way to run the computer in dos mode?
 
----__JNP_000_7e4c.7924.6f59-- ________________________________________________________________ GET INTERNET ACCESS FROM JUNO! Juno offers FREE or PREMIUM Internet access for less! Join Juno today! For your FREE software, visit: http://dl.www.juno.com/get/web/. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Fractint on Windows XP Date: 31 Oct 2001 00:37:26 -0600 Guy Marson wrote: > > Thanks, I'll try this and tell you about the results.. > Some other suggestions are available from here: http://spanky.triumf.ca/www/fractint/fracwin95.html That is if the Properties for the FractInt.exe under XP is the same as for Win-95 & 98. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 31-10-01 (Ghostly Ectoplasm [5]) Date: 31 Oct 2001 11:03:25 EST FOTD -- October 31, 2001 (Rating 5) Fractal visionaries and enthusiasts: Today is Halloween here at Fractal Central. The fractal cats are celebrating by doing nothing. I am celebrating by showing a sample of fractal ectoplasm. Ectoplasm is the substance ghosts are made of. It is an extremely elusive substance -- so elusive in fact that many doubt its existence. To my knowledge, no one has yet produced a sample of this substance. We have only pictures to show that it exists. But this elusiveness does not prove that ectoplasm does not exist. Fractals are just as elusive. No one has seen a real physical fractal. We have only pictures of fractals to show that they exist, yet no one doubts the existence of fractals. I named today's image "Ghostly Ectoplasm". That's what it's a picture of. Since ectoplasm is controversial, I could rate the image at only a 5. The render time of 38 minutes is a bit slow. The download from: or: is much faster. The fractal weather was uneventful today, with sun and a temperature of 64F 18C which pleased the cats. And I would be pleased if the day's work were finished. So I'd best get started. Until next time, take care, and don't get spooked. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Ghostly_Ectoplasm { ; time=0:38:00.02--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.19188447461177000/+3.029106015312977\ 00/60876.14/1/-150.000000001924178/1.7286827455609\ 2771e-009 params=1.4/-2.5/-0.2/0.648/0/-40 float=y maxiter=6000 inside=0 logmap=628 colors=000YACXACXBDWCEWCFVDFUEGUFHTFITGJSHJSHKRILR\ JMQJNQKNPLOPLPOMQNNQNORMOSMPTLQULQUKRVKSWJSXJTYIUY\ IUZHV_GW`GX`FXaFYbEZcEZdD_dD`eC`fCagBbhBbhAci9dj9e\ k8ek8fl7gm7gn6ho6io5ip5jq4kr2jq4kr6kr7lr9lrAmrCmrD\ nrFnsHosIosKpsLpsNqsOqsQrsSrtTstVstWttYttZut`ut_uv\ `uuautautbusbuscurcurduqeuqeupfupfuogungunhumiumiu\ ljuljukkukkujlujmuimuhnuhnugougoufpufquequerudruds\ ucsucrtdrtdrtdrtdrtdqtdqtdqtdqtdqtdqtdptdztdptepte\ ptezteoteoteotezteotenzenteztentenzfmtfmtfmtfmtfmt\ fmtfljflsflsflsflsflsfksfksgksgkqgkogjmgjkgjigjggj\ egjYgicgihgimgimhiohhshhshhshhshhshhshgshgshgshgsh\ gshkrmihjgshfsfdscbsaas__tYYtVXtTVtRUtPStMQuKPuINu\ GLuDKuBMu9Ow6Qw7Sw7Uw8Ww8Yw8_w9ax9cxAexAgxAiyBkyBm\ yCoyCqzCszDuzDwzDyzEzzEzzFzzFzzFzzGzzGzzHzzHzzHzzI\ zzIzzJzzJzzJzzKzzKzzKzzLzzLzzMzzMzzMzzNzzNzzOzzOzz\ 4zz5zz6zz7zz8zz8zz9zzAzzB } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint"