From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #618 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Saturday, December 15 2001 Volume 01 : Number 618 ---------------------------------------------------------------------- Date: Tue, 11 Dec 2001 11:14:34 -0600 From: "Paul N. Lee" Subject: (fractint) Re: FOTD 11-12-01 (Cosmic Lyres [5]) Jim Muth wrote: > > ...I've been thinking about the value of > rating the FOTD's, as apparently others > have also. ...... As a result, today's > image rates only a lowly 3. Ah, but that is only your personal opinion at the moment. Your mood and state of mind have a lot to do with your rating of images. At some other time, it might just have well been rated a 2, 4 or 5 (or even 3-1/2). > > Anyone who runs the parameter file will > soon notice the muddy colors.... That is only due to the brown and ochre colors that you have chosen to use. I tried adding some of the brighter palettes to see what effect it would have, and some were really quite interesting and nice. :-) > > Maybe I'll stop rating the FOTD and let > the viewers themselves rate the images. At least they would view each image that way, as opposed to some people not doing so if the number value was not up to whatever standard they set for themselves. I notice your own personal rating, but do not consider it when viewing the image, nor when setting up the web page. To me, it is just something you have used to go along with the "title". And I feel that titles are over rated in themselves. ;-} 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" ------------------------------ Date: Tue, 11 Dec 2001 18:35:27 -0600 From: bmc1@airmail.net Subject: (fractint) Re: Comments Re: FOTD 11-12-01 (Cosmic Lyres [5]) Fellow Fractaliers of the bi-pedal and quadrupedal variety-

I think Jim's Titles AND (always conservative) Ratings are of value not only separately, but together:

1) the former giving we mere mortals and the Dynamic Duo a glimpse into what DIP switch the image flipped in Jim's associative cortex to attach words to the image (lots of psychobabble/neurophysiologic BS could be cited here re the neural networks which have been demonstrated to exist in the portion of the human visual cortex which is trained in childhood and adolescence to do the attachment of words to images), and

2) the latter giving we mm's and the DD a different insight into the more conscious process involved w/ assigning a number to an image. Perhaps rather than "the Titles being over-rated in themselves", as PNL suggests, the Ratings are over-titled.

PNL has already noted the influence of the Fractal Weather on both Jim, the Dynamic Duo and his/their ratings. We already have little enough insight into what really goes on deep in the Command Bunker at Fractal Central, the true role played by the DDuo and the alleged Susan, etc, why would we want LESS information from the creator of the images??

I certainly don't know, nor can I imagine, anyone who - having already managed the Herculean task of lifting his/her fingers twice to get one of the sites like PNL's having pre-rendered images - would then NOT click the mouse twice more to view the image merely because Jim rated it a "3", or gave it a name the potential viewer finds peculiar without even seeing the image which fostered it. I find the names as interesting as the images, and certainly more revelatory.

Since Jim's 3's are better than most of my "8" 's, it's a no-brainer - - or perhaps I'm the no-brainer. Nevertheless, I and the "Querulous Quatro" (my backyard 4-pack of stout fractal racoons) vote for continuation of both Names and Ratings. If viewers want to add theirs, so much the better.

But please . . . . . . . . since the FOTD ain't broke, let's not fix it.

Freed/QQ

"Paul N. Lee" wrote:

Jim Muth wrote:
>
> ...I've been thinking about the value of
> rating the FOTD's, as apparently others
> have also. ...... As a result, today's
> image rates only a lowly 3.
Ah, but that is only your personal opinion at the moment. Your mood and
state of mind have a lot to do with your rating of images. At some
other time, it might just have well been rated a 2, 4 or 5 (or even
3-1/2).
>
> Anyone who runs the parameter file will
> soon notice the muddy colors....
That is only due to the brown and ochre colors that you have chosen to
use. I tried adding some of the brighter palettes to see what effect it
would have, and some were really quite interesting and nice.    :-)
>
> Maybe I'll stop rating the FOTD and let
> the viewers themselves rate the images.
At least they would view each image that way, as opposed to some people
not doing so if the number value was not up to whatever standard they
set for themselves.
I notice your own personal rating, but do not consider it when viewing
the image, nor when setting up the web page. To me, it is just
something you have used to go along with the "title". And I feel that
titles are over rated in themselves.    ;-}
Sincerely,
P.N.L.
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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" ------------------------------ Date: Tue, 11 Dec 2001 21:29:46 -0500 From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 04-12-01 (A Make-good Fractal [8]) - ------=_NextPart_001_0000_01C1828A.F4AA8C40 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable >When the grey cat that lives up the street approached, >Tippy quickly chased it away. Send in the Russian...

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- ------=_NextPart_001_0000_01C1828A.F4AA8C40 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

>When the g= rey cat that lives up the street approached,
>Tippy quickly chased = it away.

Send in the Russian...

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- ------=_NextPart_001_0000_01C1828A.F4AA8C40-- - -------------------------------------------------------------- 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" ------------------------------ Date: Tue, 11 Dec 2001 21:07:14 -0600 (CST) From: osuchj@avalon.net Subject: (fractint) Patch 2 to Fractint 20.2 Folks, Patch 2 to Fractint version 20.2 is now available at www.fractint.org. This is an Xfractint patch, with Fractint changed just to keep the two sources in sync. What's new: This patch adds the assembly language version of the mandelbrot code to Xfractint. To use it, it is necessary to place the command line switch fpu=387 in your sstools.ini file. The NASM assembler was used, but if you don't have it available, not to worry, the object file is included. Modified the Xfractint C mandelbrot code to match the assembly version. 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" ------------------------------ Date: Tue, 11 Dec 2001 22:24:21 -0500 From: "Katherine" Subject: (fractint) Color Management This is a multi-part message in MIME format. - ------=_NextPart_000_000D_01C18292.94C72600 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Hi, folks. I, too, am a newcomer to the wide, wide world of = fractals...and I need some input, please. I have generated all of these wonderful images. The Problem is that I = want to be able to use hard copies of these images...suitable for = framing (modesty permitting). Now, of course, I can print the = things...BUT I want my printer to spit out glorious copies of my = glorious images (modesty issue, again)...not copies suitable only for = the bottom of a bird cage. In a nutshell....color management software???? I've been enjoying the newsletter! This poor math-challenged visual = artist has learned! Thanks, y'all. Katherine - ------=_NextPart_000_000D_01C18292.94C72600 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

Hi, folks. I, too, am a newcomer = to the wide,=20 wide world of fractals...and I need some input, please.

I have generated all of these wonderful = images. The Problem is that I want to be able to use hard copies = of these=20 images...suitable for framing (modesty permitting). Now, of = course, I can=20 print the things...BUT I want my printer to spit out glorious copies of = my=20 glorious images (modesty issue, again)...not copies suitable only for = the bottom=20 of a bird cage.

In a nutshell....color management=20 software????

I've been enjoying the = newsletter! This poor=20 math-challenged visual artist has learned!

Thanks, y'all.

Katherine

- ------=_NextPart_000_000D_01C18292.94C72600-- - -------------------------------------------------------------- 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" ------------------------------ Date: Tue, 11 Dec 2001 21:46:22 -0600 From: "Paul N. Lee" Subject: Re: (fractint) Re: Comments Re: FOTD 11-12-01 (Cosmic Lyres [5]) bmc1@airmail.net wrote: > > 2) the latter giving we mm's and the DD a > different insight into the more conscious > process involved w/ assigning a number to > an image. Perhaps rather than "the Titles > being over-rated in themselves", as PNL > suggests, the Ratings are over-titled. I wish to clarify my last sentence, where part of which is quoted above. This was really not meant as a personal attack or negative comment on Jim's titles. More of a comment in general on Anyone's title for something they have created. Which is why the majority of my images use file names such as UNTITLED-##, IMAGE##, or FRACT###. Having titles to images just lets the viewer see what the Artist saw when they named it, whether the artist was trying for that "scene" or named after the fact. And these titles rarely have an influence on what I see when viewing somebody's creation. (Though a few titles do cause me to try and see why they were named such.) I personally find it more interesting to see what the viewer sees in an image, than directing their viewpoint. > > ....to view the image merely because Jim > rated it a "3", or gave it a name the > potential viewer finds peculiar without > even seeing the image which fostered it. Actually, because I currently have about three years worth of Jim's FOTD postings on my web site, one particular title has caused an extreme amount of "hits" since it was made available: http://home.att.net/~Paul.N.Lee/FotD/FotD_00-08-30.html 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" ------------------------------ Date: Wed, 12 Dec 2001 11:00:15 EST From: JimMuth@aol.com Subject: (fractint) FOTD 12-12-01 (Diamonds in the Rough [7]) FOTD -- December 12, 2001 (Rating 7) Fractal visionaries and enthusiasts: Naming the FOTD images is like taking one of those Rorschach ink blot tests that were once so faddish. To find a name, I study the FOTD images, put my mind in idle (no problem), and write the first thing I think of. The only difference between the FOTD images and ink blots is that the FOTD images are family-oriented, and contain none of the dirty pictures that the ink blots are filled with. The ink blots are supposed to reveal not only a person's personality, but his intelligence and mood as well. How well the tests work is open to dispute, since a knowledgeable taker can play games with the test-giver, and intentionally 'see' the things in the ink blots that will make him appear almost any way he wishes the giver to see him. But still, the tests are fun, and when I name the FOTD, I do it in the spirit of taking one of those tests, revealing my humble nature, saintly personality, extreme intelligence, cosmic wisdom, and totally optimistic mood for all the world to see. ;-) As for rating the images, this is also mostly for fun, and being totally subjective, actually has little real meaning. I will continue rating the FOTD images according to my mood at the moment. But at any time, I may decide to discontinue the ratings, which no two people agree on anyway. In fact, I myself cannot agree with my own past ratings. Going beyond the details of naming and rating, today's image is a pleasant little affair, well worth a look. I named it "Diamonds in the Rough" when I noticed the four sharp-angled geometric features around the central midget, which bear a vague resemblance to crystals. The rating of 7 reflects my current mood more than anything else. The render time of 37 minutes is slightly more than the image is worth, but this shortcoming can be eliminated by downloading the completed image from: or from: The fractal weather today featured a cloudy damp morning, which gave way to a sunny mild afternoon with a temperature up to 55F 13C. This was good enough for the fractal duo, who enjoyed the afternoon on the porch, watching for intruding cats and wishing a bit more sun would filter through the holly trees. It's now time to settle down and get some work done. Until tomorrow and the next FOTD, take care, and enjoy another day. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ DiamondsInTheRough { ; time=0:51:46.97--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=+2.07502710059632100/-0.000386966632234\ 39/7344966/1/-125/1.68879299031199359e-007 params=-10/-1.3/-1/-13/0/525 float=y maxiter=8400 inside=255 logmap=769 colors=000A3HA4IA5JA6KA7LA8MA9NAAODBPGCRJDUMEWOFZR\ GaUHcXIf_JhbKkdKnaOoZRpXUrUYtSavPexPhyUftZeocdkhdf\ mcbrcYwcVzcRzcOzYPmTPcRSUQVOPYOO_PNbQMeRKhRJjSImTH\ pUGsUFuVJqWNmXRiXVeYZaZbYZeU`dSadRbdQcdOedNfdMgdKh\ dJjdIkdGldFmdEodCpdBqdArd9qcCqcFqcHpcKpcNpcPobSobU\ obXnb_nbanbdnbfa_XQXNEVDGTEISFJQGLPHNOIOMJQLKRKKSK\ KTKKUKKVKKWKKXKKYKKZKK_KI`JHaIGbHEbGDcFCcEBbHDbKFb\ MHaPJaRLaUN`WO`ZQ``S_cU_eW_hY_jZXk`VlbTmcRnePofMoh\ KpiIqkGrlEsnCsoGtlJtjMthPtfSucVuaYu_`uYcvVfvTivRlv\ PojLqZHsNEuBAw07wAEwKKwUQwcWwmazzgzpgnigibgeXgaRgZ\ UhWXhUZiRaiOdjMfjJikHkkIjiIjhJigJifJieKhdKhcLgbLga\ Lg`Mf_MfZMfYLeVLeTKdRKdOJcMJcKIbHIbFHaDHaAG`8G`6G`\ 4MW4RR4WM4aI4fD4k84p44o8AoBGoEMnHSnLYnOcmRimUomXtY\ beJcSKdOKeKLfHLgDMh9Mi6PjASkEVlIYmM`nQcoUfpYiqalre\ msiotmquhsvcuwZwxUyyPzzKzzFzzAzz5zzBzzHzzNzzSzzYzz\ czzizznzzmzzmzzmzzmzzT000 } 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" ------------------------------ Date: Wed, 12 Dec 2001 16:31:38 +0000 From: "Andrew Coppin" Subject: Re: (fractint) Re: Comments Re: FOTD 11-12-01 (Cosmic Lyres [5]) >Actually, because I currently have about three years worth of Jim's FOTD >postings on my web site, one particular title has caused an extreme >amount of "hits" since it was made available: > > http://home.att.net/~Paul.N.Lee/FotD/FotD_00-08-30.html > >Sincerely, >P.N.L. Mmm... yes... I will never know how that particular image got that particular name... The title seems to bear no relation to the image... Oh well, it's not my problem - I just figure Jim needs to get out more often ;-) (Only kidding Jim - keep up the good work!) 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" ------------------------------ Date: Wed, 12 Dec 2001 19:13:06 -0500 From: nick.grasso@hrads.com Subject: Re: (fractint) Color Management Katherine wrote: >>>I have generated all of these wonderful images. The Problem is that I want to be able to use hard copies of these images...suitable for framing (modesty permitting). Now, of course, I can print the things...BUT I want my printer to spit out glorious copies of my glorious images (modesty issue, again)...not copies suitable only for the bottom of a bird cage.<<< I am not sure what you are asking for. Have you tried printing them and they came out poorly? First of all, don't try to print through fractint. Save them as GIFs and use a mainstream photo editting program to print, e.g., Paint Shop Pro. What kind of printer do you have? Please give more details and we'll see to it that you have glorious hard copy (or at least ones that your bird will appreciate). Nick - -------------------------------------------------------------- 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" ------------------------------ Date: Wed, 12 Dec 2001 18:26:00 -0600 From: "Paul N. Lee" Subject: Re: (fractint) Color Management Katherine wrote: > > In a nutshell....color management software???? > Besides what Nick has mentioned and asked about, I would suggest generating the image at twice the resolution of what you plan to print at. Another words, if you want to print something that is 12-in. by 9-in. at 300-DPI, then render a 7200x5400 pixel image. Then resize (or resample) it down to 3600x2700 before using your graphics editor program to print from. For larger prints, you most likely will need to render to disk. 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" ------------------------------ Date: Wed, 12 Dec 2001 20:28:44 -0500 From: "Multiple Bogeys" Subject: (fractint) Attachments

What's with someone posting a .scr attachment in here? It gave Hotmail/MSN Explorer fits trying to view the message or delete it. Besides, executable attachments are a bad idea -- I deleted it without running or even downloading it.

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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" ------------------------------ Date: Wed, 12 Dec 2001 19:53:39 -0600 From: "Paul N. Lee" Subject: Re: (fractint) Attachments Multiple Bogeys wrote: > > What's with someone posting a .scr > attachment in here? It is actually a virus, and are you sure it came through the FractInt-List?? I received a similar personal email yesterday from an individual that was replying to a FractInt posting, but have not seen anything come through the Majordomo email server. 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" ------------------------------ Date: Thu, 13 Dec 2001 10:49:21 EST From: JimMuth@aol.com Subject: (fractint) FOTD 13-12-01 (One in a Googol [7]) FOTD -- December 13, 2001 (Rating 7) Fractal visionaries and enthusiasts: The chance of any particular midget ever being found and becoming the FOTD is at best one in a googol. It is more like one in a googolplex. Yet despite the overwhelming odds against it, today's midget has reached the loftiest height to which a Mandelbrot midget can aspire. It has become the FOTD for December 13. I have named the image "One in a Googol" in recognition of the near-impossibility of this particular midget ever having been declared 'Fractal of the Day'. I must point out however that nothing unusual or supernatural is involved in the occurrence of an event with such a slim chance of happening. This is because of the immense number of similar and equally unlikely events that might have happened. I must also comment on the 'politically-incorrect' FOTD of August 30, 2000, which once again has been mentioned. Private responses to this disgustingly obscene image, which I received from several offended individuals, convinced me to keep the FOTD family oriented, and not mention certain objects that everyone already knows exist. (I was told that I was corrupting the minds of the world's youth. I replied that I doubted I had such power, and added that if the world's youth could be so easily corrupted, saving it from corruption was already a lost cause.) I am unable to understand ;-) however, why an image which raised such protests has had such a high hit rate. Maybe there's an already corrupted group that is not offended by this kind of stuff. And as Andrew pointed out, there is little in the image to justify the name, which means that the offensive material can exist only in the mind of the beholder. I guess it's kind of a quantum thing, with the observer creating the observed object. Of course, the name and discussion, which were written by me and which led the way to the obscenity, had a lot to do with the whole sordid affair . . . . I guess . . . . :-/ If I didn't already have a life, I'd go out and get one. >:-D Returning finally to today's image, we find that it rates an above-average 7, which makes it worth the 20 minutes needed to run the parameter file. Those who would rather avoid the small hassle of running the parameter file may download the completed GIF image from Paul's web site at: or from Scott's site at: The fractal weather today started sunny but turned cloudy before noon, spoiling the cats' planned afternoon in the outdoor sun. Without sun the temperature of 50F 10C was just a bit too chilly for maximum comfort. I fear the fractal cats have become terribly, terribly spoiled by their easy life at Fractal Central. It's now time for me to get busy on other things, so until next time, take maximum care, and be an optimistic pessimist. It's better than being a pessimistic optimist. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ One_in_a_Googol { ; time=0:20:27.53--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.74496964423013400/+0.715599540402516\ 60/911697.9/1/132.5/1.03316887684057335e-008 params=-10/-1.3/-1/-13/0/525 float=y maxiter=5000 inside=0 logmap=306 center-mag=+1.74496964423013400/+0.715599540402516\ 60/911697.9/1/132.499999999591125/1.37599577704206\ 055e-008 params=-10/-1.3/-1/-13/0/525 float=y maxiter=5000 inside=0 logmap=306 sound=off colors=0000zP0zV0zZ2zc5zi6zn8zt8zv9zxBzyCxyEzzGuzH\ zzJrzKzzMuzOzzPwzSzzUyzVxzXvzZtx_txVtrSvjOqeKsZEqU\ HoVJnXMnZOn_SpaUpcXpeZrgarictjetjixljynnzppzrtztvz\ vyzxzzyzzzzzzzzzzzzzyzxvyrpxllvgitaerV_rPXpKUnGPlB\ Kj6Hi2Eg0Bg0Ei2Hi5Ki6Oi9SiBViCZiGaiHeiKiiMjiPniSri\ UviXyiZziaziczigziizinzljziizegzaezZczV_zUZzPXzMVz\ JUzGPzEOzBMz8Kz5Jz2Gz0Ez0Cz0Bz09z08z0Cz0Hz0Mx0Sr0X\ j0aX0gZ0lO0rK0sE0z90v00z00w00z00z06z0Cx4Jr5Pl8XgBc\ aCjXGrSHyMKtHMnCPi8Sc4VZ0XV4_P6aK9cGCgBGi6Jl4Mn0Pr\ 0Ut0Xx0_y0cz0ax0_v0_t0Zp0Xn0Xl0Vi0Ug0Ue0Ua0j_0wZ0m\ V0VU0SU0MS0GP09O05M00K00J00H00G00H00J00K50MB0OJ0PP\ 0PZ0Se0Un2Vv5Xz6Zz8Zz9VzBUzBSvCOlEMgEKaGHXHGUHEPJB\ KJBHKCEME9MG6OH4PJ0PK0SM0UO0UP0VS0VU0XV0XX0XZ5Z_EZ\ aOZcX_eg_graiz_jz_nxZntZppXrlXtjVvgVxcUy_VzXZzUazS\ ezOizKlzHpzEtzBxz9zz6zz4zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zzGzzGzzGzzBzzGzzKzzK } 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" ------------------------------ Date: Fri, 14 Dec 2001 13:18:35 +0000 From: "Andrew Coppin" Subject: (fractint) MandelbrotBC is not the end... Hi folks. It has (just) occurred to me that the MandelbrotBC formula we all know & love (?!) does NOT in fact draw the whole hyperdimensional Mandelbrot sets for noninteger powers of Z. OK, stop. Reverse it. Forward. the function Z^N is multivalued (and hence not truely a function!) if N is anything other than a (real) positive integer. The MandelbrotBC formula addresses this by allowing one to select which part of the so-called infinite corkscrew to be drawn. Except that, while Z^N is an infinite corkscrew, as soon as you iterate it, it becomes something else! Consider, for example, the Inverse Julia map: z := sqrt(z-c). This is multivalued; in fact, for every nonzero Z, there are TWO valid answers to this. BUT, if you apply this mapping TWICE, i.e. sqrt(sqrt(z-c)-c), there are now FOUR valid values. Apply the map again, and this becomes EIGHT valid answers, etc... In short, apply the mapping n times, and there are now 2^n equally valid answers availible. This all happens because sqrt(z) has two solutions. However, Z^N has INFINITY solutions!! So, apply it twice, and there are now INFINITY SQUARED solutions!!! (Gasp!) The orbit of a point in a normal mapping (that truely IS a function, i.e. single-valued) is a linear sequence. However, for sqrt(z-c), it is a binary tree - at each point there are two alternative paths, each leading (potentially) to a different outcome. Now, the orbit of Z^N is a tree - a tree with INFINITY branches at each node. MandelbrotBC allows you to pick which branch it taken - but that same branch is taken at EVERY node. Thus, there is infinity upon infinity (infinity times over) branches that cannot ever be reached with the MandelbrotBC formula. And it looks like they ARE all different! Anyone care to comment? Thanks. Andrew. "Yes, not NOTHING can do *EVERYTHING*!" "Wow! This 'nothing' stuff sounds great - WE SHOULD BE USING IT!!!" _________________________________________________________________ Join the world�s largest e-mail service with MSN Hotmail. http://www.hotmail.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" ------------------------------ Date: Fri, 14 Dec 2001 09:53:04 -0500 (EST) From: Jim Muth Subject: (fractint) FOTD 14-12-01 (Modes of Vibration [6]) FOTD -- December 14, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal reminds me of a pattern formed by grains of sand dancing on a vibrating glass plate. I named the image, which was created with the ubiquitous MandelbrotMix4 formula, "Modes of Vibration". The parameters of the image were entered on a whim. This should be no surprise, since most of the better FOTD images are whimsical things found by lucky accident. The unusual appearance of the scene is a result of the option that I used to render the outside of the image. This under-used option, along with the and options, are the three outside options that I find most useful. Don't panic when you see the color section of the parameter file. The image uses only 34 of the 256 available colors, and the unused registers are all black. Trying to rate the scene, I found myself undecided whether to give it a rating of a 5 or a 6. I finally settled on a 6, deciding to be a bit easy on myself. The render time of the parameter file is 4-1/2 minutes on my cranky but faithful machine with the newly-replaced drive, which I have dedicated to fractals. Running the parameter file is an adequate way of viewing the image, but the optimal, though not quite as much fun, way of viewing it, is to let Paul and Scott do the hard work and download it from their web sites at: and at: With a temperature of 57F 19C, the fractal weather Thursday remained cloudy and tepid. The fractal cats don't want tepid however. They want warmth. And when the cats don't get what they want, they become testy. Luckily, I escaped their wrath by picking their favorite flavor of cat-food for their afternoon meal. This was truly good luck, because knowing their favorite flavor is not as simple as it seems. What they're in the mood for is never the same more than two days in a row. I now find myself with work to do, so until next time, take care, and save the best for last. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Modes_of_Vibration { ; time=0:04:35.51--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.72563459120140300/-1.058813939969673\ 00/11866.99/1/150/4.02353275696931689e-010 params=-1/-11.1/-11/-1.11/0/525 float=y maxiter=1000 inside=0 proximity=5 outside=fmod colors=000t_zqZznYzkXzhWzeVzbUu_TpXSjURdRQ_OOTLLNI\ IHFG9CE7FG7FJAGMDGPGIRJITMIVPKXSKZVL`XLbZNd`NfaNhb\ OjcPldPle00000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } 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" ------------------------------ Date: Fri, 14 Dec 2001 10:31:54 EST From: JimMuth@aol.com Subject: Re: (fractint) MandelbrotBC is not the end... Andrew Coppin wrote: >Now, the orbit of Z^N is a tree - a tree with INFINITY branches at each >node. MandelbrotBC allows you to pick which branch it taken - but that >same branch is taken at EVERY node. Thus, there is infinity upon infinity >(infinity times over) branches that cannot ever be reached with the >MandelbrotBC formula. And it looks like they ARE all different! I'll not quibble with infinity. Infinity is infinite. It would take eternity to explore even the lowest infinity, and even then, one would be just starting. Also, even though the branches may be infinitely infinite, there is a certain sameness to even the branches that the MandelbrotBC1 formula *does* reach, that leads me to feel that more of the same sameness is to be found in the un-reachable branches. The non-integer fractals might be infinitely infinite, but are they infinitely varied? 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" ------------------------------ Date: Sat, 15 Dec 2001 10:23:00 EST From: JimMuth@aol.com Subject: (fractint) FOTD 15-12-01 (Galactic Black Hole [6]) FOTD -- December 15, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's image so closely resembles a galaxy that I named it "Galactic Black Hole". Current astronomical thinking is that massive black holes exist at the centers of most large galaxies. It is uncertain whether these black holes are involved in the formation of the galaxy or appear later as a result of the collapse of a large number of closely-packed stars in the galaxy's center. An even greater question is where the matter and information goes when it is swallowed up by a black hole and no longer exists in this universe. At first glance, it would appear that conservation laws are being violated, though several ways around this dilemma have been worked out. My own opinion is that such questions are of little relevance to a fractal image. All that need be said is that today's subtly colored image resembles an older photograph of a spiral galaxy, one taken before they started revving up the colors. The MandelbrotBC1 formula lies behind the fractal galaxy, which is only appropriate, since the formula draws near infinite slices and space is near infinite. In fact, the latest thinking is that space has strong negative curvature, and therefore, like the branch cuts in fractional-exponent fractals, is more infinite than infinite. The rating of 6 is far less than infinite however. The render time of 11-1/2 minutes is a bit slow, but still acceptable. The download of the GIF image file is the most efficient and convenient way to see the image, though when the image is obtained this way, the fun of watching the fractal stars appear one after the other is missed. The download is available at: and at: The fractal weather Friday here at Fractal Central was damp and foggy but mild. The temperature of 61F 16C was warm enough, but the wetness kept the cats housebound. They displayed their irritation by getting into a hassle over the best resting spot. Tippy won the fight. I'm now about ready to start trying to relax for the rest of the day. I know I won't succeed, but it will be fun to see how far I can get. Until next time, which will arrive in 24 hours, take care, and watch for wandering fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Galactic_BlackHole { ; time=0:09:53.74--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.09144967526444459/+0.448034057458217\ 10/9.454119e+008/1/77.5/9.17393089480689206e-008 params=1.72/0/-2/0 float=y maxiter=3600 inside=0 logmap=294 colors=00000500500500500500500500500500\ 50050050050050050050050050050050050050050050050060\ 0600700700800800900911A11A22B22B33C33C44D44D55E55E\ 66F66F77G77G88H88H99I99IAAJAAJBBKBBKCCLCCLDDMDDMEE\ NEENFFOFFOGGPGGPHHQHHQIIRIIRJJSJJSKKTKKTLLULLUMMVM\ MVNNWNNWOOXOOXPPYPPYQQZQQZRR_RR_RR_SS`SS`TTaTTaUUb\ UUbVVcVVcWWdWWdXXeXXeYYfYYfZZgZZg__h__h``i``iaajaa\ jbbkbbkcclcclddmddmeeneenffoffoggpggphhqhhqiiriirj\ jsjjskktkktllullummvmmvnnwnnwooxooxppyppyqqzqqzrrz\ rrzsszsszttzttzuuzuuzvvzuuzttzttzsszsszrrzrrzqqzqq\ zppyppyooxooxnnwnnwmmvmmvllullukktkktjjsjjsiiriirh\ hqhhqggpggpffoffoeeneenddmddmcclcclbbkbblaalaan``m\ ``n__n`_oaZobZpc_pd_qe_qf_rgarhcsiesjgtkitliumivnk\ womxpoyqqzrrzsszttzuuzvvzvvzvvzvvzvvzvvzvvzvvzvvzv\ vzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvz\ vvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvz } 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|