From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #485 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Sunday, July 23 2000 Volume 01 : Number 485 ---------------------------------------------------------------------- Date: Sun, 16 Jul 2000 09:59:44 -0500 From: Bob Margolis Subject: Re: (fractint) colourmaps > succubus wrote: > > Hi, > Does anyone have any colourmaps colated other than those that come > standard with fractint? Try this URL: http://spanky.triumf.ca/pub/fractals/maps/ Cheers, Bob - -------------------------------------------------------------- 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: Sun, 16 Jul 2000 22:56:11 +0200 From: "Ton Koppens" Subject: Re: (fractint) colourmaps Hi, I've some 1400 colormaps collected over the last 5 years, ranging from ugly to very nice. If you're interested send me a private e-mail and I'll zip and forward them. Greetings, Ton t.koppens@hccnet.nl - -----Original Message----- From: succubus To: fractint@lists.xmission.com Date: Sunday, July 16, 2000 3:28 PM Subject: (fractint) colourmaps Hi, Does anyone have any colourmaps colated other than those that come standard with fractint? Does anyone have an explanation of ifs type fractals ie. what each of the numbers means & how fractint processes them. I haven't found enough info in fractint help. Thanks in advance. - -------------------------------------------------------------- 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: Sun, 16 Jul 2000 16:18:50 -0500 From: Bob Margolis Subject: Re: (fractint) colourmaps Ton Koppens wrote: > > Hi, > > I've some 1400 colormaps collected over the last 5 years, ranging from ugly > to very nice. > If you're interested send me a private e-mail and I'll zip and forward them. > Please include me. Thank you. Bob - -------------------------------------------------------------- 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: Sun, 16 Jul 2000 21:32:49 -0300 From: "Fernando Bresslau" Subject: Re: (fractint) colourmaps This calls another issue back. Iīve recently downloaded some dozens of other fractal progs which arenīt so famous as frain or UF, and among them was one which allowed you to easily change the colourmaps in a list in a drop down menu, it was instantaneously and very nice. I miss this easy access to maps in frain or UF. I suggest a key combination to change through all the colourmaps in one directory. instead of pressing "e", "l", change to the directory, arrow key, enter, we could use some ctrl+alt+shift+ nice combination. I would really apreciate that to be in fractintīs wish list. Fernando Bresslau http://www.fractal.art.br __________________________________________________ Do You Yahoo!? Talk to your friends online with Yahoo! Messenger. http://im.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" ------------------------------ Date: Mon, 17 Jul 2000 00:47:05 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 17-07-00 (Mega-Minus Fractal [5]) FOTD -- July 17, 2000 (Rating 5) Fractal visionaries and enthusiasts: For over 3 years I've been opening the FOTD discussion with the introduction: 'Fractal visionaries and enthusiasts'. The description of a fractal enthusiast is obvious, but what is a fractal visionary? The truth is that I am not sure. I simply invented the phrase one day early in the life of the FOTD, and it kind of stuck around. The dictionary defines a visionary as a dreamer whose ideas are impractical, and also as a seer -- one who sees visions. It would therefore appear that a fractal visionary is a person who wastes too much time searching for fractals -- In other words, someone like myself. But is it truly a waste of time working with fractals? I think not. After all, one must do something with their spare time, and despite the words of some unenlightened critics, fractals have become a form of art. So a fractal visionary might well be an artist -- an artist whose medium is numbers. And there's nothing impractical about that. I named today's picture "Mega-Minus Fractal". I gave it that name because it shows what can be done by adding together negative exponents of Z. The formula that drew today's image is 1.25(Z^(-0.5)+Z^(-10))+(1/C). The parent fractal is near the point of inversion -- too large to fit on the screen even at the smallest magnitude available. Ignoring the almost infinite extent of the entire fractal, I directed my attention to a double-bay midget near the center. I zoomed into a double valley separating the two large bays to find today's midget. Unfortunately, when I found it, I spent too little time coloring it. Thus the rating of an average 5. The image of today's fractal is better viewed than described. It may be viewed by running the parameter file and waiting almost 7 minutes, or by downloading the fully-rendered image from Usenet at: or from the W.W.Web at: The fractal weather today would have been ideal had it not been for an hour-long dry lightning storm this afternoon, which was a true spectacle, and sent the fractal cats scurrying for their most secluded hiding places. The temperature of 78F (25.5C) was ideal, though unappreciated amid the turmoil. The fractal philosophy went nowhere. It might go somewhere tomorrow; it might continue stagnated. Check then to find out. And until then, take care, and become a fractal visionary by becoming one with your fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mega-Minus_Fractal { ; time=0:06:43.64 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+6.45906747057268800/+1.10441249439956900\ /6873.396/1/7.499 params=1/-0.5/1/-10/0.25/0 float=y maxiter=1400 inside=0 logmap=98 periodicity=10 colors=000sfPofNmfLkeJijH<3>af9_e6Yd7Wc8Ub8<3>PZAOXB\ OWB<5>KPFJNFJMG<3>GHIFCJFFJ<3>CALB8MB7MA6N83M<27>dca\ edbfeb<3>jjd<25>o_LoZLoZK<2>pYIqXHsXGuWG<2>yVDzVDzUC\ zUBzTA<3>zUBzUCzUC<2>wUD<3>gVEcVE_cEXmE<3>SVF<10>CWI\ BWI9WI<3>4WJ0XJ<16>NHJPGJQFJ<2>UCJVBKXAM<3>a6Ub5Wd4Y\ e3_f2a<6>dAhdBicCjcDkcFl<3>bJsbKuaLwaMy<16>YdzYezXfz\ XgzXhzYjz<18>UgzTgzTgz<3>Sfz6gz<2>Bfz } 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: Mon, 17 Jul 2000 08:49:36 GMT From: juice@airmail.net Subject: Re: (fractint) FOTD 17-07-00 (Mega-Minus Fractal [5]) On Mon, 17 Jul 2000 00:47:05 -0400 (EDT), Jim Muth wrote: > >FOTD -- July 17, 2000 (Rating 5) I think you underrated this one. juice --have fun --harm none INTP web2.airmail.net/ebt - -------------------------------------------------------------- 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: Mon, 17 Jul 2000 19:43:56 -0400 (EDT) From: Jim Muth Subject: (fractint) Re: FOTD 17-07-00 At 08:49 AM 7/17/00 GMT, it was written: >>FOTD -- July 17, 2000 (Rating 5) >I think you underrated this one. Remembering when a grade of 'A' in school was truly exceptional, I rate my FOTD's conservatively. For an image to rate a 9 it must be truly exceptional. For a rating of 10, the image must be the best I have ever done. 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: Mon, 17 Jul 2000 22:52:26 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 18-07-00 (Holey Midget [6]) FOTD -- July 18, 2000 (Rating 6) Fractal visionaries and enthusiasts: For almost a year I have given the FOTD's a rating somewhere from 0 to 10 on my arbitrary scale of fractal worthiness. To this point the highest rating has been a 9, and the lowest, a 2. Since June 1, the rating of the FOTD's has been as follows: Rating 0 -- 0 Rating 1 -- 0 Rating 2 -- 0 Rating 3 -- 5 Rating 4 -- 7 Rating 5 -- 12 Rating 6 -- 13 Rating 7 -- 6 Rating 8 -- 1 Rating 9 -- 1 Rating 10 -- 0 As is true of most random distributions, most FOTD's have scored near the middle of the scale. As can be seen by plotting a graph, the distribution is a roughly drawn version of the well- known bell curve. With a larger sample the curve would become smoother. The sample lacks 0's 1's and 2's because I reject these poor quality fractals. It lacks 8's 9's and 10's because these exceptional fractals are quite difficult to create. Since June 1 the average rating has been 5.3, which shows that my rating judgement is honest, and that I do not practice grade inflation. However I do appreciate those who tell me that I occasionally under-rate my fractals. And while appreciating the kind comments, I never forget that beauty is in the eye of the beholder. And speaking of beauty, we have a FOTD to discuss. Today's image is a scene I found in the fractal created by the formula 10Z^(-6.67)+Z^(-0.667)+(1/C). This formula draws a grossly overblown thing which must be seen to be appreciated. Today's scene lies in a shallow valley near the extreme east edge of the parent fractal. The scene is that of the usual midget, in this case surrounded by holes of all shapes and sizes. Lots of holes is another feature of fractals created by adding negative powers of Z. The holes may be made larger by increasing imag(p3), which defines the escape radius, until the image becomes nothing but one big hole, in which case the inside fill must be set to something such as bof61 to create an image and resurrect the spirit of the vanished midget. At almost 1/4 hour, the parameter file is a slow one to calculate. The far wiser choice is to download the finished GIF image from: or from: The fractal weather today finally settled down a bit. The partly cloudy skies, temperature of 86F (30C), and lack of thunder brought out the best in the fractal cats, who were more like their old selves as they chased each other around the yard. The fractal philosophy is still stagnated however, but the pressure to pontificate is still building, and when it breaks loose anything might happen. But the only thing that's going to happen right now is that I'm going to shut down the fractal shoppe and call it a night. Until tomorrow, take care, and fractals are good for the soul and spirit. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Holey_Midget { ; time=0:13:37.73 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.203986748470977/-0.038709771549937/118\ 288.4/1/152.5 params=10/-6.67/1/-0.667/0/0 float=y maxiter=1500 inside=0 logmap=103 periodicity=10 colors=000G0G<3>J0SK0VL0Y<3>P3j<2>S6mT7nW8o<3>fDsiEt\ kGu<2>sJw<2>cQPZSEUT3VP2RP2KN1KL1KK1MIJCHP3GU7IUBJZE\ KZILcMMcPNc<3>cSWfTTjUR<3>xYJv_KuaKsdKreKqiLohLnlLll\ LkoMjoMhqMgsMfsM<2>boNanN`kO_kOZhOYhOXePWdPVbPUaPTZQ\ SYQRWQQVQRVPSVPTVDUV1<3>`d2bf2dh2<3>jq2<9>NjdKigIhk<\ 3>9fz<3>TXNYUDaS3<9>GZPD_RB`T<3>3b`<3>EagGaiJakL`lm`\ nk`pk`qm`sr`zw`zrZzmYzmXymWymVwmWtmWq<3>UYeHZbFZa<4>\ LjlNmnOop<3>Sxx<3>HftEbsBZr<2>3Mo1Io0Lh<3>0VH0XA0Z4<\ 6>Q`DT`EX`F<3>j`J<3>0uq2qr3nrKjs<3>cXthUtmRurNuwKvzG\ v<3>z3w<3>zBfzCbzEZzGVzIRzJN<3>zXMz`MzcM<8>zMEzKEzID\ <3>zAA<2>zJK } 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: Mon, 17 Jul 2000 22:41:38 -0500 From: "Paul N. Lee" Subject: (fractint) Re: [philofractal] FOTD 18-07-00 (Holey Midget [6]) Jim Muth wrote: > > For almost a year I have given the FOTD's a rating somewhere > from 0 to 10 on my arbitrary scale of fractal worthiness. To > this point the highest rating has been a 9, and the lowest, a 2. > A bit of trivia, there have been two as high as "9", and interestingly they have both been related to jungles: February 25, 2000 -- Jungle of Fractals June 01, 2000 -- Mandelbrot Jungle 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, 18 Jul 2000 04:03:17 -0400 From: Barry N Merenoff <110144.2274@compuserve.com> Subject: (fractint) colourmaps An IFS fractal is generated by a set of transformations represented by 3x= 2 matrices indicating an affine transformation (rotation, scaling, and shear) followed by a translation (slide). I don't know the details, but the numbers are probably parameters of these transformations. The fractal is defined by the criterion that it is the union of the specified= transformations of itself. The exact fractal can be found by a depth-first search of the tree of successive transformations performed on a representation of the unit square, where each branch ends when the area of the resulting parallelogram is less than one pixel. (This is guaranteed b= y the requirement that the affine component is contractive (absolute value of determinant less than one). Fractint, however, (at least the version I had) uses a Monte-Carlo approximation in which a random sequence of transformations is applied to a single point. This has= the disadvantage of taking exponential time in the number of zooms. = - -------------------------------------------------------------- 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, 18 Jul 2000 12:55:57 +0200 From: Guy Marson Subject: Re: (fractint) FOTD 18-07-00 (Holey Midget [6]) Hi Jim, nice are the majority of your creations! I am trying desperately to find nice corners with "invert=1" (in the y-screen) but no chance until now.. Or does somebody know a way to find +/- the same corners with invert=1 (or invert=any other value)? cheers, Guy > >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" > - -------------------------------------------------------------- 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, 18 Jul 2000 22:25:17 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 19-07-00 (Destiny [8]) FOTD -- July 19, 2000 (Rating 8) Fractal visionaries and enthusiasts: I like today's fractal. I like it enough to have considered giving it a rating of 9, but a second appraisal convinced me that it is honestly worthy of a lesser but still outstanding rating of 8. The bands in the purple areas are just a bit too obvious. With more time I could have done better. (Those 9's are indeed difficult to come by, and those 10's happen only a few times in a lifetime.) The iterated formula Z^(-0.5)+10Z^(-10)+(1/C) that produced the image draws a many-lobed figure, somewhat too large for the default screen, with a double-lobed bay at the east end. The scene of today's FOTD lies deep in the shoreline of that bay. The parameter file is another slow one, rendering in just under 12 minutes on a Pentium 200mhz. The GIF image with its data intact has been posted to: and to: Whether or not one gets the data information depends on the particular software that person is running. The fractal weather was quite warm today, with a temperature of 89F (31.5C) that the cats found enjoyable. The perfection was marred slightly by a light shower in the afternoon, but it was not enough to dampen the cats' enthusiasm. The philosophy floundered and foundered as I tried to determine the meaning of life. I decided that the meaning of life is to find fractals, but then I started wondering about the meaning of searching for fractals. About that time a customer called on line number 2 and I had more important things to attend to. I might tackle the meaning of life question tomorrow, but it's still only about a 10 percent chance. I'll have another glorious fractal for certain however, so check back then to be amazed, delighted, entertained, and lots of other enjoyable things. Until tomorrow, take care, and cherish your day. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Destiny { ; time=0:11:42.17 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.69908857211162900/+0.00706571833280151\ /7.96032e+009/1/82.5 params=1/-0.5/10/-10/0/0 float=y maxiter=1350 inside=0 logmap=225 periodicity=10 colors=000zYAzYCzWDxUEsRFnOGjNHfLIaIKVGLNEMGDN9CO009\ 49975F98HC4KE0IG5LH0OK0RN0VQ0XU0`W1cY2ea4id5kh6pj7rn\ 8vq9xs8zsAzrDzqEzpGznHzmKxkMxjNwiQwhRwfUveWvdXvc_ua`\ u`cs_dsYfsXirWjrVmrUnq<2>QupOwpNxsMzvMzxQzxSzz<3>azz\ dzzfzzhzzizzizzixziwzjuzjrxjqwjnvjkukjskhrkerkdrkarm\ _qmYqkWqjUqjSpiQphNnfMkeKieHedGicEfdCcc9YfAajA_nCdqC\ auC_xDdzDazA_zD`zF`zG`zIazLazMazOazQcxScwVc<2>v_duad\ sdeseerherieujfvkhuhdueauc_u`XsYVsWSsSQ<2>rLIrIGrGEq\ ECqA9<2>p42p10p00<2>q10r42r65r77s99sCAsEDuGFuHHuKKvM\ MvON<3>wXXx__x`axcczeezhhzijzkmznpzqq<2>zwxzzzzzzzzz\ zzzxzzvzzuxz<2>nvzkuziszhrzerz<2>_nzXmzWkzUkzRjzQizN\ hzLfzKfzIhzIhzIiwIivIisHjqHjnHkmHkjHkhHmf<2>Gn_GnYGp\ WGpUFpRFqQFqNFqLFrKFrHEsFEsDEsCEu9Eu7Cv5Eu6Fu6Gu7Hs7\ <3>Mr9NrAOrAQqCRqCUqD<2>XpEYpF_nF`nGanGcpF<2>fpF } 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, 19 Jul 2000 23:55:51 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 20-07-00 (A Eutectic Mixture [9]) FOTD -- July 20, 2000 (Rating 9) Fractal visionaries and enthusiasts: No, there is no mistake. Today's FOTD actually rates a 9 -- at least in my opinion. This is only the third time since I began rating my FOTD's this past Feb 6th that I have been able to give such a distinguished rating to a fractal. I almost gave a rating of 9 to yesterday's FOTD, but now I'm glad that I settled for the 8, since today's picture is notably better and well worth the 9. Now if I can only find a 10 . . . I gave the coloring of today's image the extra effort that I failed to give yesterday's picture, and that extra effort made the difference, as both underlying images have about the same potential. I named today's picture "A Eutectic Mixture" because the parent fractal appears to be the best that can be obtained from this particular alloy of negative powers of Z. The iterated fractal formula that drew today's image is Z^(-0.09)+15Z^(-15)+(1/C) -- a harmless expression that leaps to life when it is iterated. The parameter file takes over 18 minutes to render on a Pentium. The GIF image file saves time by downloading in a far shorter time. That download may be found on Usenet at: and on the Web at: The fractal weather today was cloudy and remarkably cool for this, the hottest time of year. The afternoon temperature of 62F (16.5C) was quite a bit too chilly for the cats. The steady light rain that set in during midday took all thoughts of the outdoors from their minds. I was too busy fractaling to do much philosophizing today. I'll be fractaling again tomorrow, so there's no guarantee that I'll have philosophy then either. But check anyway. Sometimes the strangest things happen. Until next time, take care, and a great fractal can turn a cloudy day sunny. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Eutectic_Mixture { ; time=0:18:37.79 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+4.69537095997045400/+0.32186770158987670\ /4.039309e+010/1/-107.499 params=1/-0.09/15/-15/0/0 float=y maxiter=2100 inside=0 logmap=368 periodicity=10 colors=000R0I<3>S0LT0MT0NU0OU0PW0Q<2>X0TY0UY0T<3>_0P\ `0O`0Na0Ma0Kb0Jb1J<14>IAGGAGFBGDCGCCFBDF9CF8AF6CF5CF\ 2DG<24>_`BaaAbbA<3>geA<3>OiSJjXEj`<3>FmUFmSFnQFoPFoN\ IpLPpJ<3>hsDmsBmt9ru9wt8wq8qn7lk7gh6<2>P_5OX5<3>SL3T\ I3UF2VC2V81<20>a9Ab9Ab9B<2>c9Cc9Ce7A<6>VKIUMJSOK<2>O\ UNMWOJYR<8>QWMRWLSWLTWK<3>WTIXSIXRHYQHZPG<3>nLErKEvK\ DzVB<3>iTFeTHaTK<3>LSWERZBUaIYd<2>khmilp<11>JrJHsGFs\ D<3>6u2<17>FhWGhYGgZ<2>IecIdeHad<3>IggZXL } 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, 21 Jul 2000 01:34:36 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 21-07-00 (The Elephants Walk [3]) FOTD -- July 21, 2999 (Rating 3) Fractal visionaries and enthusiasts: Today's FOTD, which is quite a come-down from yesterday, shows some elephants. I named the picture "The Elephants Walk" because that's what the elephants appear to be doing. For purposes of clarification, various parts of the Mandelbrot set have been given descriptive names such as Seahorse Valley, Elephant Valley, Scepter Valley, etc. The names refer to the shapes of the features in these valleys, and a bit of imagination is necessary of course to see the vague resemblance to the objects the valleys are named after. Perhaps the easiest things to find are the guardian elephants trotting out of East Valley, the valley that begins at 0.25 on the X-axis of the M-set. In this area, each elephant is aligned with one Mandelbrot bud, and stands guard over its bud, protecting the bud from whatever it is that attacks Mandelbrot buds. Today's fractal shows two complete though strangely distorted elephants, and the front part of a fragmentary third elephant. The elephants are nice, but we've all seen the East Valley elephants many times, so to make things more interesting, I have captured a view of the elephants from an entirely new direction - -- the direction I call Oblate, which consists of the planes of the Julibrot defined by the imag(c) and real(z) axes. In today's tilted picture the narrow diagonal line is oriented in the imag(c) direction, with the positive direction toward the upper right, while the perpendicular direction is real(z). The elephants are obvious enough, but where are the buds they are guarding? The secret is that the one-bud-per-elephant arrangement is true only in the Mandelbrot orientation. Actually, one bud appears in today's picture, but it appears so distorted that it would never be recognized. Look carefully at the straight-edged features extending diagonally from the lower left to the upper right of today's image. Pay special attention to the hair-thin straight line. This line is what I call a bridge. Bridges appear all the time in the four odd planes of the Julibrot figure. This bridge is actually the tip of a Mandelbrot valley sliced from the side, and the diagonal empty space between the line and the main diagonal straight-edge is the open inside of one of the buds along the southern edge of East Valley. The reason the buds appear as straight lines is that they are actually four-dimensional hypercylinders in the 4-D Julibrot figure -- a shape impossible to visualize with mere 3-D minds. I find it most curious that these straight bridges continue their way wherever they are unobscured regardless of the low- iteration material surrounding them. In fact, as can be seen in several places in today's picture, the bridges actually attract the low-iteration material to themselves, and increase their mass by absorbing this material. The parameter file of today's image takes 5-1/2 minutes to render on a P200 machine. The GIF image file downloads in less than half that time from: or from: The fractal weather today was partly cloudy and quite cool for July. The temperature of 79F (26C) must have suited the fractal cats perfectly, for they spent several hours outdoors, romping in the yard. The philosophy made little progress however. But tomorrow is another day, (it always is), and some surprise philosophy could appear then. Check in to see what happens. Until next time, take care, and don't lose your head in the fourth dimension. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ The_Elephants_Walk { ; time=0:05:20.22 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=multirot.frm formulaname=multirot-XY-ZW function=ident/flip passes=1 center-mag=+0.3181278040886614/-0.013000620\ 65059610/275.3077/0.04602/0.659/80.235 params=0/90/0/0/0.285/0 float=y maxiter=2500 inside=0 logmap=14 periodicity=0 colors=000YGU<3>`JXaKYbLZcM_dO`eRagUb<3>nfhpijrklsmm\ qli<2>hd_daX`YUYVRTSN<3>FGABD78A4571<3>PPNUTSYXX<3>M\ RRKQPHPOENMBML8RJ6TI7YH8cH9iHAmHDoG<4>RXEUTDXQD<3>gB\ B<7>VOVTQYRS_QTbOVdNWf<3>F_sD`vC`v<3>A_vA_vA_v<6>Ccs\ CcrCdr<2>DeqDfpGfkDfp<6>FimFjmFjl<3>Glk5hi<3>8Ta9P_9\ O_AN`<3>CXdDZeDafEcgFehKciPajU_mZYl<2>kSl<3>iKliIlhG\ lhElhClgBl<58>KfkKgkJhk<3>IjkHjnHkqGktGmwMmz<3>JmrIm\ pHmnGmlImj<3>HmaHm_HmYHmW<4>HmXHmXHmXHmYHmYHmY<2>HmZ\ HmZImZJm_<3>KmW } frm:multirot-XY-ZW {; draws 6 planes and many rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3: z=sqr(z)+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" ------------------------------ Date: Fri, 21 Jul 2000 22:35:25 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 22-07-00 (A Swarm of Leeches [5]) FOTD -- July 22, 2000 (Rating 5) Fractal visionaries and enthusiasts: Do leeches come in swarms? I don't know, but if a group of giraffes is called a tower and a group of crows is called a murder, why can't a group of leeches be called a swarm? Yes, I realize that a group of blood-sucking leeches is not the most artistic fractal thing in the world, but it is different, and when I saw today's curious image, I couldn't help but seeing a midget surrounded by clinging, sucking leeches. That's when the name "A Swarm of Leeches" came to mind. The iterated fractal formula that drew the image is another of my whimsical ones: Z^(-sqrt(2))+5Z^(sqrt(2))+C. Like the parameters I use with most of my M-Mix4 formula fractals, the parameters of today's image were chosen basically at random. I simply turned off my brain and put my fingers on automatic. (Not that it made much difference.) The parent fractal of today's scene is a small Mandeloid that is eroding at the edges. I found today's scene in the northeast corner of the main bay, deep in a very loosely wound spiral, somewhat away from the area that is disintegrating. Other parts of this fractal appear quite promising; I may be looking further into it in the near future. At just under 10 minutes on a Pentium, the parameter file is a slow one. But relief for irritation may be found on Usenet at: and on Paul Lee's site on the W.W.Web at the URL: where the GIF image has been posted with all its data. The fractal weather today was partly cloudy and quite pleasant, with a temperature of 84F (29C) which made the cats happy. A sudden short but torrential shower at nightfall brought the day to a cool and satisfying close. The philosophy is once again stirring, so all you fans of the fantastic philosophical pontifications won't have long to wait. As for me, I'm going to take a few minutes to check other parts of the fractal that contains today's image. And then I'm going to shut the place down, feed the cats, and call it a night. Until tomorrow, take care, and leeches might be repulsive, but every one of them is a sucker. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Swarm_of_Leeches { ; time=0:09:49.14 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.03234114002211268/+0.0758542959983652/\ 1.416931e+008/1/-25 params=1/-1.4142/5/1.4142/-0.83/0 float=y maxiter=900 inside=0 logmap=106 periodicity=9 colors=000KXoKXo<3>HTgGSeFRdKQbPP`<3>h9Sj0P<3>oLSpQS\ rVT<2>uhVujVtkVrjSphQ<3>eXFcUC`RA<2>SJ0SI2SI3<10>DJG\ BJHAJI<3>5JM<8>bVWfWXjXYmZZ<2>zb`<18>RKsPJtNIu<3>GEx\ <3>KSbLWYMZSNbNNeI<2>cg`ihfpgn<12>amP`nN_nL<2>XpFWpD\ UsD<12>eNBfLBgIB<2>jBBk8Bj5A<14>kGOkHPkIQ<3>kKT<3>op\ PtyO<8>SrRPqSLpS<2>CnT9mT4nU<11>PjIRjHTiGViFWiEYhD<3\ >dj9fk8gk8<9>jpHjqIjqJ<3>ksMdtcZtc<3>dvcfwcgwbixa<3>\ ozSpzQozR<8>mzUGzd } 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: Sat, 22 Jul 2000 22:23:37 -0400 (EDT) From: Jim Muth Subject: (fractint) FOTD 23-07-00 (A Patch of Briars [5]) FOTD -- July 23, 2000 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD picture has a prickly feel about it. It seems rather thorny in overall appearance, all of which justifies the name I gave it -- "A patch of Briars". My first impulse when I saw the scene was to name it something like "Barbed Wire", but the briar patch name won out because of its more poetic sound. The fractal formula that drew the image is surprisingly simple -- - -0.8(Z^1.5)-0.8(Z^(-0.5))+(1/C), which was calculated as usual by the M-Mix4 formula. The finished product was livened a bit in a graphic program. The parameter file runs in a bit under 3 minutes, leaving it up to the viewer to decide whether the easiest way to see the FOTD is to run the parameter file or to download the GIF image from: or from: The fractal weather today was perfect, though some showers passed close by during the afternoon. The partly cloudy skies and temperature of 84F (29C) were just what the cats ordered. There's good news for philosophy fans -- my muse is once again speaking. It will take a day or two to fine tune the composition, but the topic is already determined. Actually, it was a letter that appeared earlier Saturday on the philofractal list that supplied the inspiration. For the moment my calendar clock tells me that it's Saturday evening, and two of my favorite shows will soon be on TV -- 'Red Dwarf' and 'Doctor Who'. So I've got to hurry and shut down the fractal shoppe to settle into my overstuffed chair for a late evening of TV viewing. Until tomorrow, take care, and for the life of your fractal, don't turn off that computer. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Patch_of_Briars { ; time=0:02:40.34 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.76022595650848300/+1.14392397091661000\ /4403963/1/119.999 params=1/1.5/1/-0.5/-1.8/0 float=y maxiter=1400 inside=0 logmap=46 periodicity=10 colors=000dXpbXnfYqkYtn_xqazwbzzdzzdzzazwYxsVsnQnkLk\ <3>Y8RV2OR0JO0EL09I06N09<2>X0G_0Ib0Jf0Li0Ol4QsDRzJTz\ QX<2>ziazQYzEXqJViGTaDQ<2>DDL0DJ0DV0Df0Dp04z00z20z9B\ zIDzODzVDzaDz<2>pEzt6tz0px2kx8gxDbxI_xNVwRRwXNw_JwdE\ wiBtn6ts2tx0tz0<2>sz0sw0sp0si0sb0qX0<3>q60q00gE0<2>E\ q24z40z60z91zB<3>EzLIzOLzQOzTRzVOzR<2>JzNIzJGzI<2>Bz\ B9z98z86z64z46z26z18z1<16>9z09z09z1<4>9z19z19z69z1<3\ >9z29z29z29z29z29x2<3>9x29w29w49w49w49t4<3>9t49s49s4\ 9s49s69q6<3>9q69p69pD9pJ9pQBqX9pb9pi9pp9pp9pp9pn9pn9\ pn9pl<3>9pk9pk9pi9pi9pg<3>9pf9pf9pd9pd9pd9pb<2>9pa9p\ a9p_9p_9p_9pY<3>9pX9pX9pV9pV9pV9pT9pT9pR<3>9pQ9pQ9pO\ <3>9pN9pN9pL9pL9pJ<3>9pI9pI9pG9pG9pG9pE9pE9pE } 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: Sun, 23 Jul 2000 19:52:08 +1000 From: "succubus" Subject: Re: (fractint) colourmaps Thank you for all the colourmaps & information. I will be trying them out over the next month or so. regards, regina - -----Original Message----- From: Barry N Merenoff <110144.2274@compuserve.com> To: INTERNET:fractint@lists.xmission.com Date: Tuesday, 18 July 2000 6:16 Subject: (fractint) colourmaps An IFS fractal is generated by a set of transformations represented by 3x2 matrices indicating - -------------------------------------------------------------- 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" ------------------------------ End of fractint-digest V1 #485 ******************************