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FOTD 07-12-05 (The Fractal [4])
by Jim Muth 07 Dec '05

07 Dec '05

FOTD -- December 07, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal is the central part of the much larger fractal that results when 0.4 parts of Z^(-0.8) are subtracted from Z^2, and (1/C) is added. The entire bloated fractal extends far to the northeast of the small part that appears on the screen, though most of this extended part holds little of interest. The image consists of a Mandelbrot set, this much is obvious. But the set is distorted to such a degree that its various parts are hard to identify. East Valley, which lies at the bottom of the main bay, is easy to find, but there are two buds of nearly the same size, making it difficult to tell which is the large period-2 bud. A check of the filaments reveals that the large bud on the left is the actual period-2 bud, and the filament curving outward and downward from it is the main stem. We know this is the true main stem because it does not split. The broken filament extending to the northwest of the bud is a secondary one, which has become blown up beyond its normal importance. The large bud on the right of the main bay is actually the north period-3 bud. Its filament splits into two main branches, and the point of the split has 3 arms radiating from it, indicating that the bud has a periodicity of 3. This point is the lowest order true 'star'. (I do not count the 'straight' 2-armed star of the main filament.) Today's distorted M-set may be explored just like the true M-set. All the familiar features and sub-midgets are there in their proper places, with their familiar patterns mostly intact, but with the normally flat iteration bands enhanced by the pattern present at that point of the parent fractal. The true Mandelbrot set is 'connected'. All its midgets are connected to the main bay by infinitely thin filaments. But today's distorted set is obviously not connected. Parts of it are clearly separate from the main bay. I am not sure if these disconnected parts actually are connected to the main bay in the underlying four-dimensional Julibrot. My instinctive guess would be that they are connected, though I am unaware if this has ever been determined. These disconnected parts are filled with small midgets, just as the connected parts are. And as would be expected, the patterns around the disconnected midgets are also disconnected. Instead of being surrounded by the expected connected and splitting features, the midgets are surrounded by scattered bits and pieces of debris arranged in groups of 2,4,8.... These 'discon- nected' midgets are usually rather bland. I rarely find much of interest in them. The fractal is 'critical, meaning Z was automatically initial- ized by the M-Mix4 formula to a critical point of the calculated expression. Its midgets are therefore intact. But the generat- ing expression, (Z^2)-0.4(Z^-0.8), has more than one critical point. There is a second Mandeloid connected with another criti- cal point hidden almost invisibly in the image. Notice that the lower right part of the image is filled with holes, and the largest hole, located at the end of a prominent filament, has a purplish valley showing through it. This valley is the only part of the almost totally obscured second Mandeloid that is visible. A quick check will reveal that it has not been calculated at its critical point. But this 'ghost' Mandeloid is important. The midgets of the top Mandeloid will always cut through the ghost beneath, but the top midgets will be surrounded by features that mirror the Julia sets of the part of the 'ghost' Mandeloid over which they lie. It is in areas where the interesting parts of both Mandeloids overlap and mix together that the best scenes exist. In the next few FOTD's I will show several of these scenes found in the lower right part of today's image. I named today's image "The Fractal", which is stating the obvious. Unfortunately, after careful consideration, I could rate the image no higher than a sub-standard 4. The above- average images will come in the next few days. The render time of 1-1/3 minutes is fast even on slow machines. And for the convenience of those with handicapped computers, the completed GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds all morning and light snow in the afternoon kept the fractal cats confined to quarters all day Monday here at Fractal Central. Needless to say, they were a bit spoiled over the weekend, and sulked when they did not get all the tuna they could eat. The snow ended on Tuesday and the sky partly cleared, but with a temperature barely above freezing, and two inches (5cm) of snow on the ground, the duo never left the porch. My day was at the usual degree of activity. The next FOTD will appear in 24 hours. Until then, take care, and do your fractal shopping early. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Fractal { ; time=0:01:19.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=1.5457/0.342387/1.078531/1/87.5/-2.5056\ 3458870090017e-014 params=1/2/-0.4/-0.8/0/0 float=y maxiter=512 inside=0 logmap=yes periodicity=10 colors=000G00K00O00S00W02_04c06i28mEApPCs`EvkGocIh\ WKaOMVGPO9QNARNASNAUNAXNA_NAbNAeP8hR6kT4mU2or9qkGr\ dNsYUtR`uWYv_WwdTxhRylPzqMzuKzyIziMzVPzWQzXRzYSzZT\ zZUzSTzMTzFQz9MzhKziKzjKzkKzlKzlCz`CzQCzECz3Cz6Ez8\ GzAIzCJzFLzHNzJPzLQzdIzxBziKzVTzHazNXzTSzYNzcIziLz\ nOztRzyUzqXzi_zaayVcxUewTgvSjuRmnQptPqrPoqPmpQkoRj\ nSimTilUkkVmjWoiXqhYsgPufHwe9ycFzaLz_QzXMzUIzRFzPB\ zQ8zRHzPQzOYzNHzdIzYJzRQzWXz`czejzj`zeRz`HzXczVgzR\ kzNozJpzHqzFrzDszCvzBxzBzzBhzHRzMAzRIzSQzSTzxQziOz\ V5z4EzA7zsMzItzgkz`bzUUzN8zmdzw_zlVzaQzR`zATzDHzQK\ zLQzHPzGOzGNzGmzXfzS_zOTzKazrYzhUzZQzPez6`z9WzBRzE\ JzIKzHLzGHz1Jz5Kz9LzDlzHZzGPzAXztrzPizMazKUzIXzfRz\ jPz_NzQZzlSzWazaUzRgzEkzAbzCUzExz_dzQGzvJz`yzEkzIb\ zHUzGpzMhzK`zJTzHdzP_zMVzKQzI9zZEzSIzM`ztXziTz_PzQ\ 6zuCzgHzU6z6CzAHzDcz1cz9cz1Uz5Rz9OzDtzBbzEjzdazWUz\ OgzkazcXzWRzONzNrzSszLtzF } 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 PARAMETER FILE=========================================

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FOTD 06-12-05 (Berries Went Away [5])
by Jim Muth 06 Dec '05

06 Dec '05

FOTD -- December 06, 2005 (Rating 5) Fractal visionaries and enthusiasts: Let the trumpets blare, let the cats rejoice. I'm back! And I have already created another fractal. Unlike carbs and trans-fats, today's fractal is most certainly not hazardous to your health. It is a harmless Julia set of the Z^(1.3)+C Mandeloid as it appears 13 levels up the logarithmic ladder to infinity. The large inside part of the image has been activated by the 'bof60' inside fill. I named the image "Berries Went Away" because an earlier version of the image looked like a pile of blackberries, and, while trying to decide on a name, I heard a news report on the radio that, due to legal problems, electronic blackberries might soon become useless. (I couldn't be less concerned.) Mostly due to its amber coloring, the image rates a 5, which is the every-day average. The render time of just under 1-1/2 minutes will be reduced to mere seconds on the fastest machines. But some fast S.O.T.A. machines are allergic to Fractint. Those with such delicate prima-donna units can see the image by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see the image posted there, without the chore of running the parameter file. The weekend search for the new Fractal Central went reasonably well. We checked two properties in Lewisburg, which is located in the Susquehanna Valley area of central Pennsylvania. But we have much more shopping to do before we make a final decision. Temperatures that were too chilly for comfort limited the cats' outdoor time over the past few days. But my sister, who kept the cats from becoming lonely while we were away, and also kept them overfed, reports that the duo made the most of things, taking brief advantage of the few rays of sun that managed to filter through the clouds and holly trees, while enjoying the extra-generous treats of tuna. Until the next FOTD appears in 24 hours or so, start taking care again. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Berries_Went_Away { ; time=0:01:24.92--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.135593/-0.096485\ 2/0.6666667/1/-77.5/2.583350200424661e-014 passes=1 params=1.3/0/13/0/0.168/-0.444/0/0 float=y maxiter=256 inside=bof60 logmap=yes periodicity=10 colors=000B8AEAAHCAKEANGAQIATKAWMCZOEaRGdUMgXSj_Ym\ bbpefsjkvnpzsuzvzzzzzxzzuzztzzrzzozznzzozzpzzpzzrz\ zryzsxztvztvzuuzutzvszxszxrzyph_MfTOeMOzevzVozLiz9\ bzGfzMizSkzWnzapzftzkvzoyztzzyzzzzzzzzzzzzzzzzzyzy\ bsuetrhtojukluiovervbtvZvxVyxSzyOzyLzzGzzDzzEzyEzy\ EyxEuxEsvEovEkuEhuEeuZZZpS9sZPtdavinxoyztzzyzstzjp\ zalzSixIerYepkepahyQjzSnzTpzVszWuzYxzZzz_zzazybzxd\ zxbzybzybzybzybzybzybzyazyazyazyazyazyazyazybzzbzz\ bzzbzzdzzdzzdzzdzzdzzbzzbzzbzzbzzazyazxazvaxuaut_s\ s_pr_np_ko_jnehnjfnnensdnvbnzanz_nzboudoreolfohiod\ joZkoTloPnorzzzzzzzzzzzzzzzzzzzzzzzzzzzuzykzxazvQz\ uGzJYzY_fja0je9jhIjjPjnWjpajshjvnjytjzzjzzkzzkzykz\ ulzslyplxlnxjnvhnudouaotYosVpsSprOppLppInrLlsMjtOh\ uQeuSdvTaxWZyYWzZVz_TzVTzPSzLSzESz9PzIMuOJpTGj_Dee\ 9Zj6To9YrD_sGbtJeuMixPkySnzVpzYtz_vzbyzezzhzziyziu\ zipzilziixidui_siWriQoiMl } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: another Muth zoom.
by JackOfTradeZ 05 Dec '05

05 Dec '05

Jim Muth FOTD zoom to E+58 is posted: http://www.fractal-animation.net/vid/muthzoom3_e58.zip . WMV format, 320x240 2 min. 11 sec. 7.5 MEG It is a deep zoom, but took less time to do than I would have thought, presumeably due to the low iteration count. A nice view of the period doubling phenomenon as the rays go from 2->4->8->16->32->64. JoTz

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No FOTD until December 6th
by Jim Muth 03 Dec '05

03 Dec '05

Fractal enthusiasts: Sorry for the disappointing news, but there will be no FOTD's until next Tuesday, Dec. 6. We will be out of town in central Pennsylvania on Friday and the weekend, checking for possible new locations for Fractal Central. While we are away, my sister will be looking after the fractal cats. I have decided it is definitely time to throw in the towel for Baltimore. Jim M.

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Revised par and a new one
by Lee H. Skinner 01 Dec '05

01 Dec '05

The image 60529013.gif that I posted a few days ago needs to have a mathtolerance command inserted into it to get the correct image, so I'm reposting it. 60529013 { ; ; t= 0:12:47.59 on a P4 2Gh at ; 1600x1200 Image Copyright 2005 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=recip passes=1 mathtolerance=0.05/1 center-mag=-28.44386721751718000/-11.7012260054645100\ 0/6.082476e+011/0.9998/-69.9574025021650385/0.0859563\ 195570046401 params=-5.46/-1.5/-2.67/-4.5/0/200000000000000 float=y maxiter=2500 inside=bof61 outside=tdis symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000flv<2>otvswwuxxwyyzzz<3>rwzovzhsw<3>Gch8_d8\ Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6\ >UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_<3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8\ KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm\ 9vq8xu7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S\ <3>z5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0\ Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U\ 6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl\ <3>S_v<3>civ } Also, here is a closer zoom into today's FOTD midget. 61201010 { ; ; t= 1:13:52.58 on a P4 2Gh at ; 1600x1200 Image Copyright 2005 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=+0.64171460174044760/-1.55368223772558900/\ 4.597402e+007/1/72.5000004021203495/4.145932290602893\ 92e-007 params=-2/-1.4142/-0.2/-14.142/0/0 float=y maxiter=5000 inside=255 outside=tdis symmetry=none periodicity=10 cyclerange=1/254 colors=000zzz<3>S`9<3>`jEclFeoGhrI<3>UnXRm_NlcJkgFfpA\ az<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1zzC<2>zzz<3>jqdfo_\ blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhM\ BiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<3>zm3zj4zg4zd4z`4z\ Y4<8>zM8zK9zJ9<3>zDBz00c0b<15>Q2LQ3JP3I<2>M3FL4DJ3AH2\ 9<3>S27V27Y26<2>e14zs4zY0n13<3>z00<13>U6ES6FP7G<3>F9L\ AAGAD0<4>CM5DN6DTzESzFTzFVA<3>HaEIcFJeG<2>Nb4P`0Sb5<4\ >flVjo_mqe<3>zzzxzz<3>eqsaorXlpSjnNglGch8_d<3>8MS<3>L\ IKOGISFGVEEYDCaB9<3>uB2zA0xA0<4>kA0iA0fA0<3>XA1<7>vts\ z05000 } 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 }

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FOTD 01-12-05 (Metabilis-3 [5])
by Jim Muth 01 Dec '05

01 Dec '05

FOTD -- December 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is named "Metabilis-3". The words have no meaning, they simply came to mind while I was studying the image. Most likely the words are the vaguely remembered name of an alien planet in one of those junky sci-fi movies I watch so many of. The image itself is based on whimsy -- a mixture of negative portions of Z^(-1.4142) and Z^(-14.142), with (1/C) added. The parent fractal is a grossly overblown thing in several separate pieces, with a number of open 'inside' areas scattered about. Today's scene is located in a valley of one of these open areas. Much of today's image consists of 'inside' stuff, which I have colored a dull purple. To add detail to an otherwise flat scene, the 'outside' parts were rendered with the outside=tdis option. Maybe I'm being too strict with my rating, but IMO, the image is only average, and can be rated no higher than a 5. The render time of 11-1/2 minutes borders on slowness, but relief is on hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for immediate viewing. The rain moved out and the sun moved in on Wednesday here at Fractal Central. With the temperature in the middle 50's F., around 13 C., the cats had nothing to complain about as they passed the afternoon in the yard. The wind gusted at times, but they seemed not to notice. Except for a rather animated discus- sion with Fractal Lady, my day was reasonably peaceful. The next FOTD will appear on schedule in 24 hours. Until then, take a break. For just one day, stop taking so much care, and have a little fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Metabilis-3 { ; time=0:11:34.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.64171460189384810/-1.553682238057576\ 00/4574071/1/72.5000005174516673/1.830898137891723\ 29e-007 params=-2/-1.4142/-0.2/-14.142/0/0 float=y maxiter=1000 inside=255 outside=tdis periodicity=10 colors=000hiLjmHlqDnuAloCkiEjcGhYIgSKfNMhQQjTUlVXm\ Y`o_cqbgrdjsbcsaXs`Qs_JsZCsY6ZNxmcCfhF_mHTrJNwLOyJ\ PzHRzEa_fZRdWIbN8UYLdgYnqjxiktalqVmmNnjGogIjeKfdMb\ cNZbPV`RR_TNZUJYTSZS__Rh`QpaPybPzcdcE_eDVgCQiCLkBH\ mBBN2KPDSQN_SXgTfoVpwWzvUYvT6xdDyoKzsQnsPclO`fNEfS\ MfXUfaaffefkkfpoftsisvlrzqrteq000000000000000000Kp\ cInbHlaFjaEh`Df`YuAciBhZBHAe0cwAZtKVrTQpbMnkIloSks\ XkpZnnSqkHti7wc8rZ8mU9iO9dJA_EAWOJXYSXg`YqiYzrYwof\ ulosjxpismhnkgihfdfe_cdVadQXeOSfMNfKIgIDhG8hEKoFWv\ GgzGjqOlfVnXbpMirCprHkrMgrQcrVZr_VrcRmfRhiRclRZnRU\ qRPtRKwRGyRHkTHZUIMWI9XFEPDIHBMADJEFHIHEMJCQL9UN7Y\ L8ZK9_JA_IUzGczFUzEDbDDbBBb9Ab79b58b37b98WE8QQORab\ SmqTloSkmSjkRijRhhQgfQfeQ`dPVcOPbOJbNDaN7`M2`MEdTP\ g_QebRddRcfSbhT`kT_mUZoUYqRalOehLidJl_GpWDtSBwOIqV\ Pl`WfgbamiWtpRzqQrrPjsPcsNhrKLqNNpRQoUSnYVm`XldZkg\ ajkcinfhrhhujfviaYWdaSPKP } 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 PARAMETER FILE=========================================

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newbie skylines
by john 30 Nov '05

30 Nov '05

Hello Gerald et al: I like your solution. It is cleaner then mine, but I am having trouble with implementing it. I am not sure how to use erase 'F= ' recursively. I do not have a method in my turtle set for doing this. I am also not sure about how to translate this into a recursive method using Java and turtles.(If this is the wrong place to be asking this question, then just let me know. I am new ot the group, and I am not sure what constitutes an on topic or off topic post) Here is what I hacked out. It works but in kind of a 'wonky' way. So P becomes my method call. R and Q are executed after the respective method calls. angle 4 axiom P P = FPRPQPF R =+F-F Q=-F+F private void drawSkyline(Turtle t1, int itr, double distance) { if(itr == 0) { return; } drawSkyline(t1,itr-1,distance/1.5); t1.turn(90); t1.move(distance); t1.turn(-90); t1.move(distance/3); drawSkyline(t1,itr-1,distance/1.5); t1.turn(-90); t1.move(distance); t1.turn(90); t1.move(distance/3); drawSkyline(t1,itr-1,distance/1.5); //t1.move(distance); } Thanks j.

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FOTD 30-11-05 (Deep in the Jungle [6])
by Jim Muth 30 Nov '05

30 Nov '05

FOTD -- November 30, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is an evaporated one. It once was there but now is gone; it leaves its ghost to carry on. The original image, which consisted of the usual inside-outside stuff, was created by combining two negative exponents of Z, (-1.5) and (-8.5). The image was then evaporated by raising the bailout radius to one-googol, which is quite a large number. When the original image vanished, nothing was left but a blank screen consisting entirely of 'inside' stuff. The situation looked hopeless, but hidden in the inside stuff was the ghost of the original image, and it took only the ghost-hunting 'bof61' inside fill to manifest the spirit. The resulting image reminds me of a scene in a jungle. I named it "Deep in the Jungle". Since I have done several similar images in the past, I could rate it no higher than a 6. I am a strict rating master. The render time of 1-3/4 minutes means that no one will succumb to boredom while waiting for the included parameter file to run. At the same time, those with computers over-qualified for Frac- tint can find the finished image posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain held off long enough on Tuesday here at Fractal Central for the cats to enjoy the unusually warm temperatures in the mid 60's Fahrenheit (for the backward USA), around 18 Celsius (for the rest of the world). They lurked in the holly patch several hours, and by the time the rain arrived they were about ready to come inside on their own. The next FOTD will appear in 24 hours. Until then, take care, and if you can find a bald eagle, walk with it. If not, walk with an eagle with feathers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_in_the_Jungle { ; time=0:01:41.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.4284433796/+1.0339858002/1146100/1/\ 95/3.6154778e-008 params=-5/-1.5/-0.6/-8.5/0/1e+100 float=y maxiter=500 inside=bof61 periodicity=10 colors=0000000000000000000000000000000000000000000\ 00000ES7EQ6EO4EM3EK2EJ1BQ79WC7bH4hN2oS0uX2tdHk_WbW\ jURyLNpSRgZVZeZQlbHsf9zjKt`VnSehIpc9fXEXRJNKNDES48\ WE9TN9QW9ObAThAXnBatBeuDguEiuGkuHlakZSn`Hrb7udGmXO\ ePXZHdR9lK1YD3K65607lIbmOXmTRnYLncFoh9om3jg8eaC`WG\ XQKSKONESI8WE2_YBaqKbqMZqOVqQSpbMonHliQjdZg`geWpcS\ xXSwRSvKSuESt7Ss1Sr4Vf6XV9ZJB`7DQPEGfOMbXS_fYWocTx\ hQtbUpYXmT_iOcfJfbEi_9lr`6pc8nfAliCjkDhnFfqHesIgiO\ i_TkRYmHbn8gkFYiMOgTEe_4aVAYRGUNMQJSMFXSQPY`HckAdd\ DeYGfRIgKLhDOi7Qz9hgQ_jMamJcoGerCgu9iw6juDgsJeqQbo\ W`mbZkhWioUguS_mOTfLMZIFSFCXOAaW7ec5jk3nsFfkR_cbTX\ nMPyFIsJHmMHgQHbTHXXHR_HMbHOhGPnFRtESzEYxMbvTgt_mr\ grpnwnuDUBH_ELeHPkKTqNWwQSlSPaTLRUIHVXOPkUKhYLeaMb\ eM`hNYlNVpOTsOShURY_QNeQCjTHhWLgZQfaUePQYDMQ1II6HP\ BHWGGbKGiIClG9nE6qC3sLCiTK_`SRdN_gIhjDqm8ykFsiMngS\ ieZdce_akV_rQYxLGXaKYkNZu } 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 PARAMETER FILE=========================================

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Re: Lee Skinner Par
by JackOfTradeZ 30 Nov '05

30 Nov '05

The Lee Skinner images (17) and PAR is posted: http://www.fractal-animation.net/lee_s.zip It is 3.7 Meg JoTz

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Re: New Morph Animation
by JackOfTradeZ 30 Nov '05

30 Nov '05

Russ Walsmith wrote: ""I redesigned the T-C formula with the objective of trying to keep the size of the set from changing too much throughout the transitions, and it seems to have helped a bit. It also brought about some new effects on either side of the interval real(p3) = [1,0]. Maybe, for the fun of it, you'll give this version a little spin..."" I did. It is 3.6 meg download: http://www.fractal-animation.net/new_morph.zip Looks like a new-age metal sculpture or something. JoTz

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FOTD 29-11-05 (Get the Point [7])
by Jim Muth 29 Nov '05

29 Nov '05

FOTD -- November 29, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image pictures part of the empty inside of a Julia set of the Z^(1.009)+C Mandeloid as it appears 109 levels up the infinite logarithmic spiral. This empty inside was brought to life not by a bolt of lightning, as the Frankenstein monster was, but by the bof60 inside fill. So far, so good. But something is wrong. The image has no 'bof60' feeling to it. It consists of a cloud of floating daggers arranged into a large broken spiral, with the bright blue background barely showing through. Normally, the bof60 inside fill produces a scene with circular bubbles, much like the 'fmod' fill does. It is this unexpected nature of the image that adds the interest which raises the rating to a 7. Also interesting is the fact that the exponent of Z, at a value of 1.009, is so close to unity, a value that does not make fractals. Curiously enough, in this almost-linear range, most of the action is in the inside parts of the fractals. The con- ventional inside-outside fractals tend to resemble rather boring mis-shaped eggs. The coloring appears quite full, but actually only 20 or so different colors appear in the scene. Luckily, 20 colors are all that is needed to "Get the Point", which BTW is what I named today's image. The image is just the center part of the whole inside of the parent fractal. For an additional surprise do an outzoom and check the entire parent, which is nothing like what one would normally expect. Today's FOTD render time of 8 minutes borders on slowness. But the finished image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> which will eliminate the task of rendering. The partly cloudy skies and mild temperatures of 68F 20C on Monday here at Fractal Central were spoiled by occasional light sprinkles and wet grass, which limited the cats' outdoor adven- ture time to under 30 minutes. My outdoor time was limited by the work that needed to be done after the holiday. The next FOTD will appear in 24 hours. Until then, take care, and the FOTD images will one day vanish, but the fractals themselves are eternal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Get_the_Point { ; time=0:08:17.03--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-9.19539/\ -0.872849/1.513537 params=1.00897/0/109/0/-4.662\ /7.437/10000/0 float=y maxiter=256 inside=bof60 periodicity=10 colors=000ka9iZ97fkAelDglGhlIjlLklOmlMklNklPklQklS\ jlTjlVjlWjlYimYglYekXbjX`hXYgWWfWTeWRcVObVMaUJ_XKZ\ _MYbNXePWhQUkSTnTSqVRtXPtXPsXOrXNqWMpWLoWKnVJmVJlV\ IkVHjUGiUFhUEgTDeUDcWD`YDZ_DXaCUcCSeCQgCNiCLkBJmBG\ oBEqBCsB9uA9rB9nC8jE8fF8bH7_I7WK7SL6ON6KO6HQ5DR59T\ 55U41W84VC7UGATKDSOGRTJQXMP`POdSNhVMmZKgaJ`eHUiFOl\ DHpBAt9Bs9Cq9Eo9Fn8Gl8Ij8Jh7Kg7Me7Nc7Ob6Q`6RZ6rc5l\ Z6eU8ZP9VLBOICKFEICFM9HODIRHJULKZPcZmzamzcmzcmzcmz\ cmzcmzclzcjzchzchzchzchzcfzcczcazc_zcYzjV_iS`gPahS\ biWdjZfkbgleimiknllopnpsprwrmjjgYbbLVX8NVAMTCKREIP\ GGNIELKDJMBHO9FQ7DS5KOGRKSZGcSIXLLPENH7Q99RABSBEUC\ GVDJXFLYGNZHQ`ISaJVcLXdMZeNagOchPfjRfkSelUdnWcoYbq\ _ara`sc_ueZvgYxiYuhXqfWmdWibVe`Ub_UZYTVWSRURNSRQPS\ TLSWHTZDTa9Ud5Vh1cg7lfDvdJvaLuYNtVPsRRrOTqKVpGXoKX\ mPXkUXiZXhcXfhXdmXbrYbrXcrVdqUeqSfpRfpPgoOhoMioKjn\ JjnHkmGlmEmlDnlBok9nh9le9 } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 28-11-05 (Glorious [6])
by Vortex Swirling 29 Nov '05

29 Nov '05

Jim, A 6??? Man are you strict! -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.1.362 / Virus Database: 267.13.9/185 - Release Date: 11/28/2005 -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.362 / Virus Database: 267.13.9/185 - Release Date: 11/28/2005

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Re: Lee Skinner PARS
by JackOfTradeZ 29 Nov '05

29 Nov '05

FYI: Lee Skinner posted about 17 par files a few issues ago. He said some would take a while to render. He was right. They have been cruising 3 days now in auto-mode on my P2-300 and still not done! Some of them look real good. I will post the completed pix/pars on my server in a few days when done if NY1 is interested. Hey - NY1 know when fractint 1.0 was first released? Gotta be getting near the 20th anniversary soon!? Fear God. Nothing else. JoTz

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Disk video/ram
by David Fisher 29 Nov '05

29 Nov '05

I have what is probably a minor problem with writing and saving to "Disk video/ram". Briefly, I edited the config file and added a line for another resolution. Works fine for almost all my saves, but there are six fractals (out of 293 processed do far) that will not save in the new mode. Can anybody tell me why?, and what I can do to fix this? Just for general info: The newly added mode is at 2560x2048. The next resolution down at 2048x1536 works on all the pictures, 'cause I've tried both. Is the problem with the cache size? Can this be adjusted? Any help, information, etc, would be greatly appreciated. Even a negative response is good, if the problem is intrinsic and I'm wasting my time trying to fix what can not be fixed. David M Fisher

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FOTD 28-11-05 (Glorious [6])
by Jim Muth 28 Nov '05

28 Nov '05

FOTD -- November 28, 2005 (Rating 6) Fractal visionaries and enthusiasts: The string of low-order Julia sets is unintentionally turning into a kind of running theme. Today's image pictures a Julia set of the Z^(1.1)+C Mandeloid calculated 109 levels up the spiral. Despite the unusually intricate features, the image was rendered in the traditional way, with the inside, (of which none is visible), a flat black and the outside set to 'iter'. I named the image "Glorious", letting the viewer decide what is the glorious aspect of it. The rating of a 6 indicates that I consider the image just the slightest bit above average. The render time of under 2 minutes should try no one's patience, unless they are using a Fractint-challenged computer, that is, in which case they will need to download the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Alto-stratus clouds moved in on Sunday here at Fractal Central, but the temperature reached a relatively balmy 52F 11C, which was mild enough to give the fractal cats the time in the holly patch they needed to keep them happy. Tippy actually climbed half way up a holly tree after a bird, which as expected, flew away long before he reached it. A minor treat of tuna in the evening kept the duo happy. My day was uneventful. To some this might seem a bit dull, but actually, I consider myself lucky to have escaped being dragged to a holiday dinner. The next glorious or not so glorious FOTD will appear in 24 hours. Until then, take care, and after wondering, be sure to recognize the answer when you find it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Glorious { ; time=0:01:49.52--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0.384776/\ 0.291432/2.5063 params=1.1/0/109/0/0.2102/0.705/0/0 float=y maxiter=2500 inside=0 periodicity=10 colors=000f1LXXcFizPdg``OlX1MguTdl`cci`VTlu`rvgxxo\ zxvzyzzzvzpvrgvi_v`PvSGvJ7u90yM0z_0zm0lA4cCCVFJMGQ\ DIY3Ld0d4GTaJffOsjQfi_glfgooirYjXPoDfaifXafQXgLPlF\ Jg9Cd34dPDc_7`j0_u0Xz0OSQ6Li0CzXYPdcOmjMvpLzvJzzGz\ xDzp9zj4xc0sY0oQ0iQ9VDIF0QO04c9Sl4av0lz0vz0zlCXlLQ\ jSLj`Fmm7zz`meJ_OVTDfO1rTFcTI_TLPQJLOQaGYiAcp3jx0p\ z0xzFduJfyOizSjzXmzSgzOazIVzTfzQ_pOSdJJTGCID46900M\ MVTYi_ivfuzTclTjoVprVxuXzx_lodomjplrslxujzxizzgmrg\ cmdTj`JfY9aTciiddmf`sgXxiSzjMzlLmpDYmLrrCgv4Yz0OjM\ jfOccPX_QPXSISTAOV1zgGA1GA3GC4IC7JD9LFAMFDOGFPIIQD\ CS74T30V00XD4fTIriVzzizaVzDGz00zzzzzoxz_fzJOz36z00\ z00z70zI4xTAudGpoMmzSiz_fzXczS_xPXsLSmIPiDLc9Ic7Fa\ 6C`49_16Y03X00V00`01g03m06u1Dr3Lo4Sl6_i7gd9idDjcJl\ cOmaTo`_p`cr_isYorV_oSJlP3lQDlTOlXYjYij`sjczifzsLx\ z0fpIYc`PQsGCz6GzDMzLSvTYp`cjigjillirlivmizmizoizp\ gzsjzvmzypzzszzvzzyzzzzzz } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: Morph Animation
by JackOfTradeZ 28 Nov '05

28 Nov '05

The The Gerald Dobiasovsky / Russ Walsmith (morph + pirouette) viddie; 3D grayscale, is re-posted: http://www.fractal-animation.net/morph_x2.zip 800x600 AVI, 30 sec, 6.5 MEG It is centered better now, you can see everything better. Rendered at higher res - 800x600 also. At 6.5 meg, this is only for serious fractal explorers. Grayscale is hard enuf to see as it is - you need maximum detail in the viddie / pix. Compressing to MPEG4 (WMV) format causes unacceptable loss in detail and resolution, even if the file is much smaller. AND the Russ Walsmith "redesigned T-C formula" mentioned recently is currently in the works; it looks radically completely different than the other one, the 1st images kinda look like a 25th century small office park seen from above, with silver mod buildings and trees etc. You can check out the 1st image in the animation: ;;;;;;;;;;;;;;;;;;;;;;;;;;;START PAR::::::::::::::::::::::::::::::::::::::::::: test { ; 1st image in animation, 17 min on P2-300 reset=2004 type=formula formulafile=fromfile.frm formulaname=t_c_morph passes=3 center-mag=-0.343038/-0.186895/0.4524726 params=0/-50/-1.5/1.5/2/0/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=000100000000PPPzzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvv\ vuvvvuwvuuuuutuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppp\ popppoqpooooonooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjj\ jijjjikjiiiiihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddd\ dcdddcedcccccbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZ\ ZYZZZY_ZYYYYYXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTT\ TSTTTSUTSSSSSRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNN\ NMNNNMONMMMMMLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHH\ HGHHHGIHGGGGGFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBB\ BABBBACBAAAAA9AAA9BA9999989998A98888878887987777767776876666656665765555\ 5455546544444344435433333233324322222122213211111011102 } frm:T_C_morph {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: Constant coefficient ;p3imag: ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = 0, y1 = 0, z1 = real(p4) d1 = sqrt(real(p3)), d2 = sqrt(1-real(p3)) d3 = d1 + d2 j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = d1*a + d2*c + cx y1 = d3*b + cy, z1 = d2*a + d1*c + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = 0, y1 = 0, z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ;;;;;;;;;;;;;;;;;;;;;;;;;;;END PAR::::::::::::::::::::::::::::::::::::::::::: Stay Cool JoTz

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newbie question
by john 27 Nov '05

27 Nov '05

Hi: I am new to this. I want to create a skyline pattern of rectangles. I know I need the L System grammar. I am just not sure about the specifics. Below is a crude example of what I am talking about. Any advice on algorithms, names, and driections for solving the problem would be helpful. start with a line ___________ one iteration ___ ___| |___ two iterations _ _ _| |_ _ _| |_| |_| |_ J.

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FOTD 27-11-05 (Curlicues [7])
by Jim Muth 27 Nov '05

27 Nov '05

FOTD -- November 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's different looking image shows the open inside of a Julia set of the Z^(1.1)+C Mandeloid as pictured 109 levels up the hyperspiral. The image consists totally of 'zmag' inside fill, which curiously enough makes an image both chaotic and orderly. I named the image "Curlicues" because of its resemblance to those decorative flourishes added to fancy signatures. The rating of a 7 is perhaps a bit high, but I feel I have not done too much exaggeration. The coloring appears adequate even though only a small part of the 256 available colors were actually used. The image is divided so finely that the few colors blend into an effective illusion of far more colors. The render time of 7-1/2 minutes is within reason, though a bit slow for the hectic pace of today's active world. To speed up things, the completed GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A partly cloudy and slightly milder day Saturday here at Fractal Central was still not warm enough for the fractal cats to be comfortable in the yard. After spending 15 minutes outside, they retreated to pass the afternoon in the comfort of their window shelf. A generous treat of tuna in the evening kept the day from being a total loss. My day was again average. The next FOTD will appear in 24 hours, which is the average time between postings. Until then, take care, and wonder why. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Curlicues { ; time=0:07:25.33--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.398904/-0.064900\ 2/1.251213/1/67.5/1.31075705844807544e-014 passes=1 params=1.1/0/109/0/-0.2563/-0.7076/0/0 float=y maxiter=255 inside=zmag periodicity=10 colors=000OKzOKzOKyOKxOKwOKuOKtOKrOKqOKoOFnOAlOAjN\ AgNAeNBcNBaNC`NC_NCZNDXNDWNEVNEUNETNFSMFRMGQMGPMGO\ MHNLGMKFLJEKIDJHCIHBHHAGHAFIAELBFNCFPDFREFSFFTGFVH\ FWHFXHFYHFZHF_GF`GFbGFcGFdFFeFFfFGgEGhEGjEGkEGlDGm\ DGnDGrDGvFGzKGzPGzUGzZGzcGzcGzcIzcHzcGzcFycExaDw_C\ vYBuWBtYAs_9sa8rc7qe6qg5pi4qk2pi4og6ne7md9lcBkbCja\ Ei`Gh_HgZJfXLeVMdTOcRQbPRaOT`MV_KX`LWaLWbLWcLWdLVe\ LVeLVfLVgLVhMUiMUjMUkMUkMTlMTmMTnMToMTpNSqNSqNSrNS\ sNRtNRuNRvNRxOQvNRtNSrNTqMUoMVmMWlLXjLYhLZgK_eK`cK\ aaKb`JcZJdXJeWIfUIgSIhRHiPHjNHkLHlKGmIGnGGoFFpDFqB\ FrAFs8Gt6Gu3Hv5Hu6It7Is8Jr9JqAKqBKpCLoDLnEMmFMlGNl\ INkJOjKOiLPhMPgNQgOQfPReQRdRScSSbUTcTTbTUbSUbSVbRV\ bRWbQWbQXaQXaPYaPYaOZaOZaN_aN_aN``M``Ma`La`Lb`Kb`K\ c`Kc_Jc_Jc_Ic_Ic_Hc_Hc_GcZHc_Ic_Ic_Jc_Jc_Kc_Lc_Lc_\ Mc_Mc_Nc_Oc_Oc_Pc_Pc_Qc_Rc_Rc_Sc`Sc`Tc`Uc`Uc`Vc`Vc\ `Wc`Xc`Xc`Yc`Yc`Zc`_c`_c` } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction (Lee Skinner)
by Russell Walsmith 26 Nov '05

26 Nov '05

----- Original Message ----- From: "Lee H. Skinner" <skinner(a)thuntek.net> > Russell, > > >> A_Mantabrot {;Gerald Dobiasovsky's 3D envelope wrapped around > > You turned my PC into an aquarium! > > Lee Lee, Your statement baffled me at first, since I couldn't imagine why anyone would want to populate an aquarium with even one of these pasty-white devilfish. Indeed, the idea seemed rather macabre. But then, as your skill at fashioning color maps came to mind, the light came on... Although the non-grey maps that I'd applied to the 3D T-set hadn't worked well at all, I thought to try one on the 'Mantabrot'. The effect was a complete surprise; I've used dozens of different maps on this object, and virtually every one, in at least a part of its cycle, gives some cool effects. I interpret your comment then to imply that you've come across some nice variations. If so, would you mind sharing some pars? Ciao, Russell

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FOTD 26-11-05 (Picket Fractal [7])
by Jim Muth 26 Nov '05

26 Nov '05

FOTD -- November 26, 2005 (Rating 7) Fractal visionaries and enthusiasts: The JuliaBC formula, which I recently found in a forgotten file, is proving to be one of the most useful. Today it takes us 109 turns up the logarithmic spiral to examine a Julia set of the Z^1.09+C Mandeloid. The unusually small exponent of Z would not be expected to produce much of a fractal. But in the world of fractals, first impressions are not always accurate. The resulting image reminds me of a picket fence, so I named it "Picket Fractal". The image consists of about half inside and half outside stuff. The inside parts have been brought to life by the 'bof61' inside fill, making an image that, at least in my opinion, rates a 7. If I had put a bit more effort into the colors, the image might have rated an 8. Today's image would appear to have symmetry around the origin. This is one of those wrong first impressions I warned about. Check those colors more carefully. They most certainly are not symmetrical. As I said, first impressions of fractals are not always accurate. The render time of under 3 minutes is fairly fast, but not as fast as downloading the already rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Bright sun was spoiled by a temperature that never rose above freezing here at Fractal Central on Friday. The cats displayed their displeasure by showing no interest at all in going outside and getting into a spat over something only they knew about. The tuna only half satisfied them. My day was average, which is not all that bad. The next in the near-endless series of fractals will appear in 24 hours. Until then, take care, and be alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Picket_Fractal { ; time=0:02:50.05--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.138768/-0.362364\ /0.8458201/1/67.5/3.88578058618804789e-016 passes=1 params=1.09/0/109/0/-0.2563/-0.7076/0/0 float=y maxiter=255 inside=bof61 logmap=14 periodicity=10 colors=0006AL7AM8AN9ANAAOBAPCAPDAQEARFARGASHATIAUJ\ AVJAWJBXJCYJDZJE_JF`JGaJHaJIcJJdJKdJLeJMgJNgIOhIPi\ IQiIQjIRkIRkIRlISmISmHSnHSoHToHTpHTqHUqHUrHUsHVsGV\ tHVuHWuIWvIWwJXwJXxKXyKXyKWxKWxKWxKWxKWxKWxKWwKWwK\ WwKWwKWwKWwJWvJWvJWvJWvJWvJWvJWvJWuJWuJWuJWuJWuJWu\ IWtIWtIWtIWtIWtIWtIWsIWsIWsIWsIWsIWsIWsHWrHWrHWrHW\ rHWrHWrHWqHWqHWqHWqHWqHWqHWqIXrIYrIYrIZrIZrI_rI_rI\ `rI`rJarJarJbrJbrJcrJcrJdrJdrJerKerKfrKfrKgrKgrKhr\ MirOirQjrSjrUkrWkrYlr_lramrcnreorgpriqrkrrmssottqu\ usvvuwwwxxyyyzzzyyywxxuwwsvvquuottmstkruiqugpveovc\ nwamw_lwYkxWjxUiyUiyUhzVgzVgzWfzWezXezXdzYdzYczZbz\ Zbz_az_`z``z`_zaZzaZzbYzbXzcXzcWzdVzdVzeUzeTzfTzfS\ zgRzgRzhQziOzhQzhRzgTzgUzgVzfXzfYzf_ze`zeazeczddzd\ fycgwchvcjubktbmsbnraopaqoarnatm`ulbvk_vjkvhZvgmvf\ ZvejvdYvcmvaYvbrvcYvcmvdYvewveYvfYvgYvgXvhXviXuiXt\ jXskXrkXqlXpmXomWmnWloWko } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: quaternion product correction (JoTz)
by Russell Walsmith 26 Nov '05

26 Nov '05

Yo JoTz, That "shadow Mandelbrot" is among the interesting effects in this video. Maybe even a theme in its own right. Clearly, there are many considerations in finding the optimal parameters for an animation of these kinds of sets. It seems promising though. I redesigned the T-C formula with the objective of trying to keep the size of the set from changing too much throughout the transitions, and it seems to have helped a bit. It also brought about some new effects on either side of the interval real(p3) = [1,0]. Maybe, for the fun of it, you'll give this version a little spin... ---------------------par file---------------------- Tmorph { ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=fromfile formulaname=T_C_morph passes=3 center-mag=-0.343038/-0.186895/0.4524726 params=0/0/-1.5/1.5/3/0/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=(a)grey.map } ---------------------frm file---------------------- frm:T_C_morph {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: Constant coefficient ;p3imag: ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = 0, y1 = 0, z1 = real(p4) d1 = sqrt(real(p3)), d2 = sqrt(1-real(p3)) d3 = d1 + d2 j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = d1*a + d2*c + cx y1 = d3*b + cy, z1 = d2*a + d1*c + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = 0, y1 = 0, z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ---------------------end file---------------------- ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: quaternion product correction (Russell Walsmith) Date: Thu, 24 Nov 2005 09:44:55 -0700 > > 11/24/2005 > > The Gerald Dobiasovsky / Russ Walsmith (morph + pirouette) viddie; 3D > grayscale, is posted: > > http://www.fractal-animation.net/morph_x.zip > > 640x480 AVI, 30 sec, 4.4 MEG > > A shadow mandelbrot creeps across the main form momentarily - loox like a > tarantula / evil ghost. > I'll let someone else try to explain what's up with that. > This is the "weird thing" I mentioned, I didn't recognize what it was at > first. > > > HaPPy HoLiDaZe ! > > JoTz > > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 25-11-05 (All Inside Stuff [6])
by Jim Muth 25 Nov '05

25 Nov '05

FOTD -- November 25, 2005 (Rating 6) Fractal visionaries and enthusiasts: Yesterday's discussion was short because I inadvertently deleted the regular discussion and wrote over its disk space before I realized the file was gone. That's two discussions I've lost this month. 'Wordperfect5.1', the DOS program I use, does not have a waste basket. The lost discussion was about oddities of the fourth dimension and the three-dimensional slices of the Z^2+C Julibrot. One of these days I'll re-write it, but today we have more immediate things to discuss. Today's image is part of the inside of a Julia set of the Z^1.15+C Mandeloid as it appears 55 levels down the spiral. It consists almost totally of inside stuff made visible by the 'atan' inside fill, and is one of the most unusual all-inside images I have seen. The eight leaf-like features surrounding the hole at the center at first appear symmetrical, but first impressions are sometimes deceiving. In addition to being colored differently, each leaf has a slightly different shape and a different inside pattern. I named the image "All Inside Stuff" as a mere description. I rated it a 6 because I feel it is at least slightly above average. The render time of the parameter file, just under 8 minutes, borders on slowness. A notably faster way to see the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished image from there. A light snow fell overnight Wednesday here at Fractal Central, but the 1/2 inch (1cm) melted away as soon as the sun rose. Unfortunately the grass remained too wet for the sensitive paws of the fractal duo, who once again passed the day on the shelf by the window. My day was occupied by the Thanksgiving goings on. The next FOTD will appear as scheduled in 24 hours or so at this same place. Until then, take care, and when you row your boat, remember that life is but a dream Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_Inside_Stuff { ; time=0:07:41.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0.198246/-0.362094/1.593045 params=1.15/0/-55/0/0.547/-0.465/0/0 float=y maxiter=255 inside=atan periodicity=10 colors=333uLMumOmMMB48nMMkOMiROeUMcVLZVGUXCRZCXNCc\ IFkHHrJJuLL`DDKNOHljLuuLuPKtY_abnUpuruE5CG69I77K77\ M88O99Q99RAARAAUBBVBBVBBXCCZCCZCC`DDbEEbEE77K77I55\ E44B337225111111111111111DDb422542763994BD5DE5FI7G\ K7IO9LRAMUBPXCRZDUbGVcHYgI`kL`lLcpNdrPguQhuSjuSjuS\ luTmuTmuTggNjuSiuQhuQfuOeuOeuNduNbuLauL`uLZtKXrJXp\ JVnIUnISlHQkHOiGMgGMgGLeFJcFHbEG`DEZCEZCCXCBVBBUBA\ RAARAntKMMMLLuLLuKKtMJkSPcVVVZZYgeSqubptWnkOneIn_I\ nVI4986GCJMJbWQui`ufYucVubSuZOugbuWLuYNua`eRbubuut\ uukuuburWuoOuiJpYLucLueHliGbnIXuNRuPLuLLuRLuYLueLr\ kNotTludnuWpuQtuLkfLurLuuLuuLlllgggc_a`MUtKWRAK337\ 74BO9GgGPuL_uLUpJQgGJXCCO99E555223735E58M8BUCEbHGi\ NJpSLucLuWGgKCXCBUBCRAOQ9gSGuWLuYLuVLuTLuRLuNLuMLu\ LLuLLrJJUBB522uLUrPMXPCZHCMK8HVBFeFLuLInID`D8M8373\ 424111737VBNpWeumpuVtlLucLuuuurrufhkVZ`KURG96CCXAA\ RD8MF6GM8GUBI`DJeFKlHKtKM } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: quaternion product correction (Russell Walsmith)
by JackOfTradeZ 24 Nov '05

24 Nov '05

11/24/2005 The Gerald Dobiasovsky / Russ Walsmith (morph + pirouette) viddie; 3D grayscale, is posted: http://www.fractal-animation.net/morph_x.zip 640x480 AVI, 30 sec, 4.4 MEG A shadow mandelbrot creeps across the main form momentarily - loox like a tarantula / evil ghost. I'll let someone else try to explain what's up with that. This is the "weird thing" I mentioned, I didn't recognize what it was at first. HaPPy HoLiDaZe ! JoTz

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FOTD 24-11-05 (Seahorse Carnival [6])
by Jim Muth 24 Nov '05

24 Nov '05

FOTD -- November 24, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is an oblique view of Seahorse Valley. It may be seen by running the parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next FOTD is due tomorrow. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Carnival { ; time=0:16:11.03--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 float=y center-mag=-1.28719/-0.16188/28.777 periodicity=10 params=45/90/85/90/-0.75/0/0/0 maxiter=75000 colors=000zz`cSabTbaUc`Vd_WeZXfYYgXZhW_iV`jVakVblV\ cmVdnVemVeoVepVeqWdoXcmYckZbiZag_ae``ca_aa__bZYcYW\ dYUdXSeWQfWOgVMgUKhUIiTGjSEjSDkRDkRDkRDlRDlRDlRDmR\ DmRDmRDnRDnRDnRDoRDoRDoRDoRDpRDpRDpRDqRDqRDqRDrRDr\ RDrRDsRDsRDsRDsRDrQEqQFqQFpPGpPGoPHoPHnOImOJmOJlNK\ lNKkNLkNLjMMjMMiMNhLOhLOgLPgLPfKQfKQeKRdJSdJScJTcJ\ TbIUbIUaIVaIVWMZRQbMUeGYiBalAeoAdrAcqAboAanA`nA_nA\ ZnAYnAXnAWnAVnAUnATnASnBRnCQnDPnEOnFNnGMnHLnIKnJJn\ KInLHmMHlNHkOHjPHiQHhRHgSHfTHeUHcVHbWHaWH`XH_YH_ZH\ ZZHY_HX`HWaHVaHUbHUcHTdHSdHReHQfHPgHOgHOoaDwv3ur4s\ n4rj4pf4oc4m_4lW4jS4hO4gL4eH4dD4b94a64`A3`E3`H3`L2\ _O2_S2_W1_Z1Zb1Ze0Zi0Zl0`i4bf8dcBf`FhZIjWMlTPnQToO\ WnPUnQTnRRmRQmSPmTNmUMlUKlVJlWIlXGkXFkYDkZCkZBh`Ee\ bGcdI`fKZhMWjOUlQRnTOpVMrXJtZHw`EvbCudDrcEobFlaGi`\ Gf_HcZI`YJYXJWWKUVLVUMWTMXSNYROZQP_PP`PSaOUbOXeOZh\ O`kOhnGeqIatLZwNWzPVzRVzS logmap=y } frm:SliceJulibrot2 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction (Russell Walsmith)
by Russell Walsmith 23 Nov '05

23 Nov '05

----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: quaternion product correction (Russell Walsmith) Date: Mon, 21 Nov 2005 20:01:06 -0700 > I think it will look like a gyroscope in precess, and stuff will be flying > off from it from > centrifugal force. And the weird thing will be seen also. > > So when I figure it all out, the final viddie will be a pirouette about the > vertical axis, > simultaneous with morph, and from a distance where it can all be seen. > > I will alert / post it when done, may take a week or so. > > > JoTz Weird thing? This gets curiouser and curiouser... looking forward to the viddie. There are some strange creatures in this section of 3-space, for sure... ---------------------------PAR FILE------------------------------- A_Mantabrot {;Gerald Dobiasovsky's 3D envelope wrapped around ; a T-set variant ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=fromfile formulaname=metat-set passes=3 center-mag=-0.158929/0.144849/0.8743172/1/-44.9999999999999858/-\ 1.23373533611470521e-014 params=180/90/-2/2/0.5/0.5/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=000555<10>222222111<3>111111000000zzz<64>jjjjjjiii<5>hhhh\ hh000ggg<156>555 } ---------------------------FRM FILE------------------------------- frm:MetaT-set {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: Pixel^2 coefficient ;p3imag: ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = 0 y1 = 0 z1 = real(p4) j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = imag(p3)*a + real(p3)*a^2 + cx y1 = imag(p3)*b + real(p3)*b^2 + cy z1 = imag(p3)*c + real(p3)*c^2 + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = 0, y1 = 0, z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ------------------------------END PAR----------------------------

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FOTD 23-11-05 (On a Windy Hill [7])
by Jim Muth 23 Nov '05

23 Nov '05

FOTD -- November 23, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal image shows a tree clinging to a high and windy hill, so I named it "On a Windy Hill". Well, actually it shows an entire Julia set of the Z^1.15 Mandeloid as it appears 115 levels up the complex-log hyperspiral. The windy hill of the name, and the tree as well, are only figments of my imagination. But sometimes figments can be quite attractive, as today's image shows. One can almost feel the brisk east wind blowing along the ridge top from the right. And yes, I realize that the colors of the tree are unusual, but the tree is located on an alien planet, so this is no problem. When the time arrived to rate the image, I decided on a rating of 7. I rather like the image of a tree with dark blue branches and dull red flowers. The render time of a very brief 66 seconds helped justify the rating of a 7. Most of the speed is due to the unusually low maxiter of 50. The low maxiter is needed to keep the background sky from filling in with too much debris. But speed is of no importance to machines with a Fractint phobia, which will never know the joy of running Fractint. Those with such machines may download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Occasional rain, cold 41F 5C temperatures, and high winds, made Tuesday totally hopeless for the duo of fractal cats. Realizing that they would not be able to enjoy their usual outing, they settled themselves on the shelf by the double window to pass the day dreaming and wishing. An extra treat of tuna in the early afternoon helped ease their distress. My day was moderately busy, with nothing to set the day apart from hundreds of similar days. The next glorious FOTD will appear in 24 hours. Until then, take care and search for the real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On a Windy_Hill { ; time=0:01:06.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-1.41759\ /0.0889863/1.173709/1/70/-2.50563458870090017e-014 params=1.15/0/115/0/-0.364/-0.925/0/0 float=y maxiter=50 inside=60 logmap=yes periodicity=10 colors=000KA0KA0KA0KA0KA0KA0KA0KA2KA4KA7KAAKADKAGK\ AJKAMKAPKAPKASKAVKAXKAYKAZKA_KB`MHbOMeQRfVWi_`jdfk\ iklntztzzzzzxxzttzrmhqfgnbejYcgTbeO`cJZcFYcJSfNNeQ\ HeUCdY6d`1aZBZXLWVVTTdQSnKZfRYpQ_nP`mAaz_ihWhhThhQ\ ghMfhJfhGehCeh9dh6dh6ai5Zk5Wl5Sm4Po4Mp4JqBMcIORPRD\ VT0SU6QUCNUHLUNJVTGVYEVcCVhEUiFTiGSjISjJRkKQkLQkNP\ lOOlPNmRNmSMnTLnULnQRpMXrIatEguAlw6ry2wz4ux6tw7su9\ rtBqsCpqEopGnnHmmJllLkjMjiOigQhfRgeVl`ZqWbvSfzNjzJ\ upWpl_kibffeaciX`lSYoNVsISvEPyDTvCXtB`rBcpAgn9kl9n\ j8rh7vf7ydQ9JhLWaRYWWZP`_JfaCkb6pc0ud5pf9lgDhiHdjM\ `lQXmUToYPp_Ql`QhaQdcQ`dRXeRTgRPhRLiSzkSzlSzmSznSz\ mQzmPzlNzlMzlKzkJzkHzjGzjEzjDzlIzmNzoRzpWzq_zkkzew\ zjmzndzrWzvNzzEzwFztGzqHzoIzlJziJzgKzdLzaMz_NzXNzU\ OzSPzPQzMRzKRzFYzAdzCgzEizGkzImzKozMqzOszQuzRqzRmz\ SjzSfzTczT_zTXzTXzUWzUWzUWzUVzVVzVVzWTzVUzVUzWUzWT\ zWTz7xz9vzBtzCrzEpzFnzDnz } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 22-11-05 (A Witches Kiss [7])
by Jim Muth 22 Nov '05

22 Nov '05

FOTD -- November 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: Do witches exist? The answer to that question depends on the definition of the word 'witch'. There certainly are those who practice the old Wiccan religion, but I doubt that they wear pointed black hats, brew evil potions in cauldrons, and fly around on brooms. But then there are fractal witches. Today's image shows the twisted kiss of a fractal witch. I generally prefer not to name images after body parts, but today's image is so obvious that I could not resist the temptation to give it the relatively harmless name, "A Witches Kiss". The image is actually one of the Julia sets of the "Viol" image that appeared as the FOTD for November 3, 2005 -- the FOTD that had the shortest discussion of all time. Today's Julia set intersects the 'Viol' image at a point in the upper center of the bud on the extreme left edge of the 'Viol' image. The interesting parts of today's image consist of a large 'inside' area made active by the 'bof60' inside fill. In this case, it is the most effective of all the inside fills. I rated the image at an above-average 7. Part of that rating is due to the extremely brief render time of 80 seconds. But no image is ever so fast that there is no need to post it to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of pondering appears at this point in the philofractal version of this discussion. A cold rain fell steadily all Monday afternoon here at Fractal Central. The cats checked the conditions twice, but never ventured off the covered porch. They passed most of the day sleeping on their shelf by the large window, undoubtedly dreaming of warm sunshine. In my department, the work was finished on schedule, and all else went well. The next FOTD fractal will be posted on schedule 24 hours from now, plus or minus an hour or two. Until then, take care, and beware of kissing witches. They just might be real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Witches_Kiss { ; time=0:01:20.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaMix-1 function=ident center-mag=0.600876/0.124909/1.093492/1/99.9765254\ 755702273/-11.8893132505640633 params=100/0.6/-100\ /0.61/0.202/0.272 float=y maxiter=1200 inside=bof60 logmap=7 periodicity=10 colors=0004K_4NZ4PX4SW4VU4XTD_XLadTciafkihqniurjzs\ kztlzumzvnzwozxpzyqzzrzzrzzrzzrzzrzzrztUdtQfvMjxIm\ zDpxFlrGflIV`IKbJNdJQfKTtKWxKYyPXyUWyZVycUzhTzmSzr\ RzvQxsRvpRumRsjRqgRpeRnbSl_SkXSiUSgRSfPSeRQdSOdTMc\ VKbWIbXHaYF`_D``B_a9_b8XcCUcFRdIOdLLdOIeRFeUCeX9f_\ 6fb4fe5ha6iZ6jW7lT7mQ8nN8pK9qH9rEBsGCsIDsKEtMGtOHt\ PIuRJuTLuVMvXNvYOv_QwaRwcSweTwfGWeFUbFT_FSXFRVFQSF\ PPEOMENKEMHELEEKBEJ9FIAGHBHGCIFDJEEJCFI9FI7FI5FJ9H\ JCIJFJJIKJLLJOMKSOKVPKYQK`RKcSKfTKiULhVMhWMgWNgXOf\ XOfYPfYQeZQeZRd_Rd_Sc`TcaTcaUbbeVlVbbVacWacW`dX`dY\ `eY_eZ_f_Zg_Zg`Yh`YhaYibXibXjcWjdWkdVkeVlznbymcxlc\ xlcwkdvjdvjduietiethesgfrgfrffqegpegpdgodgnchnbhmb\ hlail`ik`ij_jj_jiZjhYkhYkgXkfWlfWleVluUprVopVnnVnk\ VmiVmgVlkMwjNvjOuiOuiPtiPshQshQrcgh`ajZXlWRnULpRFr\ PAtOIoNQkMYgLecHWaDM`0EfAD_KCUTBOQARN9TK9VH8XE8_B7\ a87c56e23i36g39e3Cd3Eb3Ha } frm:JuliaMix-1 {; Jim Muth z=pixel, c=p3, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+fn1(c), |z| <= 100 } END PARAMETER FILE=========================================

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Re: quaternion product correction (Russell Walsmith)
by JackOfTradeZ 22 Nov '05

22 Nov '05

""Nice job! I'm intrigued that the Mandelbrot set's "head" flies off in this animation, in a fashion somewhat similar to the decapitation scenario in the DEW animation (mirrored at http://ixitol.com/html/videos.html)"" I am currently rendering it from an expanded (zoom out) perspective to see what flys in and out from it and where it goes, and get the best perspective. ""BTW, the value I of 1 that I gave for imag(p2) in the par was unfortunately insufficient to avoid clipping the transitional object at about real(p3) = 0.5. To provide ample clearance, it should be set at about imag(p2) = 2. Moreover, it might be fun to introduce p1 values, to cause the object to sort of pirouette as it morphs form T to C."" I am experimenting with the params to get it right. I am also looking at the pirouette about the y-axis (vertical). A VERY interesting feature has shown itself! I don't know if you are aware of it, but it is way wierd cool. You will see it in the final viddie. It is a good idea to combine the morph with the pirouette; it would have been a better idea if I had thought of it first ;) I think it will look like a gyroscope in precess, and stuff will be flying off from it from centrifugal force. And the weird thing will be seen also. So when I figure it all out, the final viddie will be a pirouette about the vertical axis, simultaneous with morph, and from a distance where it can all be seen. I will alert / post it when done, may take a week or so. JoTz

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FOTD 21-11-05 (Julia Spheres [5])
by Jim Muth 21 Nov '05

21 Nov '05

FOTD -- November 21, 2005 (Rating 5) Fractal visionaries and enthusiasts: The MandelbrotMix4 formula has created more FOTD images than any other formula. But strangely enough I have almost totally ignored the corresponding Julia sets. Today's FOTD is a small step toward correcting that oversight. The formula, JuliaMix-1, is only a first effort. What I must do is write a single formula that will combine the abilities of the MandelbrotMix4 and the JuliaMix-1. Today's image is the Julia set associated with yesterday's "Spheres" image. I have named it "Julia Spheres" accordingly. The rating of a 5 indicates that I consider it merely acceptable. The render time of 13 minutes is a bit slow for an average image. But wait may be avoided! The completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday turned out quite pleasant here at Fractal Central, with warm sun, light breezes and a temperature of 59F 15C. The cats made the most of the pleasant conditions by passing the after- noon exploring the holly patch. Only a small serving of tuna was needed to keep them happy through the evening. My day was uneventful. However, tomorrow will be quite eventful, at least when the next FOTD is posted. Until then, take care, and be ready for almost anything. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Spheres { ; time=0:12:59.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaMix-1 function=recip float=y center-mag=0.135815/-0.69459/0.4723105 inside=0 params=-1/-1/-0.5/-2/2.578/2.156 maxiter=1200 outside=tdis periodicity=10 colors=000uhOgkNimMjoMgmNekNciN`gNZeNXdOUbOS`OQZON\ XOLVPJUPGSPEQPCPPAPP9PR8QS7RT7SU6TV5UW4VY4WZ3X_2Y`\ 1Za1`b5aa9baDbaHcaLcaPdaTdaXea`eadfahfalgapgathawh\ armcmqehvgdziasc_lYYeSWZNUSHSLBQF6UFAXFD_FGbFJeFMh\ FPkFSnFVqFYtF`rHYpIWoJUmKRkLPjMNhNLfOIePGcQEaRB`S9\ ZT7YU5QcBJlGCuLFlMHdNKXOMPONOMONLPMJQLIRLHSKFTJFVK\ GXMHZOI`QJbSKdULfWMhYNj_OlaPncQpeRrgStiTvjUxkXxl_u\ mapncknefogapiXpkSqmNqnOpmPokQniRmgSleTkcUjaVi_WhY\ XgWYfUZeSXeQZeO`fOcgMfhLidKkbJn`IqZHtXGvWFtRRrNbpI\ nnEzoGxoIwoKuoMtoNsoPqoRppTnpVmpWlpYjp_ipagpcfpdel\ efhffdff`gfXggThgPhgLigHihDjh9jh5kh2kh5gb7cX9`RCXL\ ETFGQ9FTAFWBFZBEaCEdDEfDCgHBgLAgP9gT7hX6h`5hd4hh3h\ k4fl4el5cl5bm6`m6_m7Ym7Xn8Vn8Un8TnLF7OE9RDAUDBXCC_\ BDbBFeAGh9Hk9In8Jp8KoZ`qaYsdWtfUviSwkQynOzpMwdVtUb\ qIjn7riDidI`_OSVTKWUJXUJYUJZVJ_VJ`VJaVJbWJcWJdWJeX\ JfXJgXJhXJiWIjWHkWGlWFmWE } frm:JuliaMix-1 {; Jim Muth z=pixel, c=p3, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+fn1(c), |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction (Russell Walsmith)
by Russell Walsmith 21 Nov '05

21 Nov '05

Nice job! I'm intrigued that the Mandelbrot set's "head" flies off in this animation, in a fashion somewhat similar to the decapitation scenario in the DEW animation (mirrored at http://ixitol.com/html/videos.html) The main set of points somehow becomes adverse to a subset: it's a curious phenomena, akin perhaps to a charge reversal, and it will be interesting to see what sort of mathematical theories eventually arise to account for it. As for to whom belongs credit for the formula; the T-set comes from the triternions concept, but its 3D realization in Fractint is of course due to Gerald Dobiasovsky's inspired/inspiring work. And after all, the formula is just one component of an ongoing and extensive collaborative effort... but anyway, he and I should share credit there I believe, if that's OK with Gerald. BTW, the value I of 1 that I gave for imag(p2) in the par was unfortunately insufficient to avoid clipping the transitional object at about real(p3) = 0.5. To provide ample clearance, it should be set at about imag(p2) = 2. Moreover, it might be fun to introduce p1 values, to cause the object to sort of pirouette as it morphs form T to C. Thanks again for your interest in these formulas; it's really fun to see them come to life. Ciao, Russell ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: quaternion product correction (Russell Walsmith) Date: Sun, 20 Nov 2005 00:21:48 -0700 > > The morph animation is posted: > > http://www.fractal-animation.net/morph.zip > > It is AVI file, 640x480, 3.5 meg, original grayscale map > > Exactly who is credited with this formula? > > > JoTz > > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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(no subject)
by sam ende 20 Nov '05

20 Nov '05

this is fun to watch rendering, bit like watching entropy :) sammi http://www.sende.co.uk/fract146.gif

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Re: [Fractint] Re: quaternion product correction
by Russell Walsmith 20 Nov '05

20 Nov '05

Gerald, I'm still stoked on this formula. Morgan Owens and Hiram Berry should see this! Oh yeah, and Lloyd Garrick (aka Jack O'Tradez; http://www.sonic.net/~jot/ufvp.html) should consider animating it, IMO... Maybe you have a name for this program, or a suggestion for one, so that I may easily refer to it: E.g., Gerald K. Dobiasovsky's xxxxx formula? Ciao ----- Original Message ----- From: "Gerald K. Dobiasovsky" <gerald.dob(a)aon.at> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: [Fractint] Re: quaternion product correction Date: Thu, 3 Nov 2005 02:45:56 +0100 > > > [Russell Walsmith, regarding Triternions and the rendereing thereof] > > Paul Bourke's rendering seems to use some density cloud function (probably > the number of iterations accumulated while stepping along the > line-of-sight for each pixel), so the object's outside is structured > as well. > > All I can offer for the moment is a greyscale depth rendering similar to > Fractint's Julibrot type (that is, the object is solid and the surrounding > space is transparent). > > You can achieve a kind of outside density rendering by switching from > outside=summ to outside=iter, but the colors will wrap around many times, > which really doesn't look good. > > Gerald > > ---------------------------- Parameters below ------------------------------ > > T-set_in_3d {;Greyscale depth image > ; > reset=2004 type=formula formulafile=test.frm > formulaname=Rot3d_T-set passes=g > center-mag=-0.68046/-0.24858/0.9363296 > params=0/0/-0.75/0.75/0/0/0/4/150/253 float=y maxiter=2000000000 > outside=summ periodicity=0 > colors=000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvuuuu\ > utuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpoooo\ > onooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikjiiii\ > ihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedcccc\ > cbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZYYYY\ > YXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTSSSS\ > SRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONMMMM\ > MLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHGGGG\ > GFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBAAAA\ > A9AAA9BA9999989998A98888878887987777767776876666656665765555545554654444\ > 4344435433333233324322222122213211111011102100000000PPP > } > > frm:Rot3d_T-set {;periodicity=no, outside=summ > ;maxit > p5real*(p5imag+1) > ;-------------------------------------------- > ;p1real: Rotation about x-axis (1st rotation) > ;p1imag: Rotation about y-axis (2nd rotation) > ;p2real: Far clipping plane > ;p2imag: Near clipping plane > ;p3real: x1(0) > ;p3imag: y1(0) > ;p4real: z1(0) > ;p4imag: Bailout > ;p5real: Maxiter per slice > ;p5imag: Number of slices - 1 > ;-------------------------------------------- > ; > bailout = imag(p4), tiefnum = imag(p5) > delta = (real(p2)-imag(p2))/tiefnum > tmp = pi/180 > rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) > ; > HPixXY = rotYax > VPixZ = real(rotXax) > VPixXY = flip(conj(rotYax)) > NXY = VPixZ*VPixXY > NZ = imag(conj(rotXax)) > VPixXY = -NZ*VPixXY > ; > tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) > cx = cx0 = real(tmp), cy = cy0 = imag(tmp) > cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 > tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) > dcz = NZ*delta > x1 = real(p3) > y1 = imag(p3) > z1 = real(p4) > j = m = i = 0: > a = sqr(x1) + 2*y1*z1 > b = sqr(z1) + 2*x1*y1 > c = sqr(y1) + 2*x1*z1 > x1 = a + cx, y1 = b + cy, z1 = c + cz > IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) > i = i + 1 > ELSE > i = 0 > m = m + 1 > cx = cx0 = cx0 + dcx > cy = cy0 = cy0 + dcy > cz = cz0 = cz0 + dcz > x1 = real(p3), y1 = imag(p3), z1 = real(p4) > ENDIF > z = m - j > j = j + 1 > tiefnum >= m && p5 >= i > } > > ---------------------------- End of parameters ----------------------------- > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: quaternion product correction (Russell Walsmith)
by JackOfTradeZ 20 Nov '05

20 Nov '05

The morph animation is posted: http://www.fractal-animation.net/morph.zip It is AVI file, 640x480, 3.5 meg, original grayscale map Exactly who is credited with this formula? JoTz

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FOTD 20-11-05 (Spheres [5])
by Jim Muth 20 Nov '05

20 Nov '05

FOTD -- November 20, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image came about when I combined various portions of (1/Z) and Z^(-2), then added (1/C). The parent fractal consists of three oversized lobes, with today's scene located rather deep in the valley between the north and east lobes. There appears to be considerably more interesting stuff in this particulad parent fractal. If time were not limited, I might spend an eternity or two exploring it. The effect of spheres is quite strong, and is the reason I named the image "Spheres". The rating of a 5 means I consider the image to be merely adequate. The render time of 29 minutes is on the slow side, but may be eliminated by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The effect of the bright sun was lessened by the chill in the air here at Fractal Central on Saturday. The fractal cats checked the outdoors several times, but never remained out longer than 20 minutes. My day was near average, as are most of my days. The next FOTD will appear in 2 hours. Until then, take care, and always look up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spheres { ; time=0:29:13.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.57781307627547200/+2.156071254042420\ 00/1.922166e+008/1/40/-2.394941087875e-005 float=y params=-1/-1/-0.5/-2/0/0 maxiter=1200 inside=fmod proximity=0.1 outside=tdis periodicity=10 colors=000JEkMJgQOcUTZXYV`bRcgNdeOedOfcPgbPhaQi`Qi\ ZRjYRkXSlWSmVTnUTxXCnTTaPiQMxPNwPNvPNuPNtPNsPNrPNq\ ONpONoONnOOlOOkOOjOOiNOhNOgNOfNOeNOdNOcMMcNObOPaPQ\ `QR_RSZSTYSUXTWWUXVVYUWZUX_TY`SYaRZcQ_dP`eOafNbgMc\ hLciLahN`hO_hPZgQYgSkwThsUeoVbkX_hYXfZUf_ReaPebOec\ NcdMbdLabK_dJZdIYdHVeGUeFTeEReD`qC`rB_sA_t9_uFYtLX\ sRWrWVraTqgSpmRorQopPnoOnmNnlMnjLmiKmgJmfImdHlcGla\ Fl`ElZDkYCkWBkVAkT9jS8jQ7jP6jM5lO6jQ6hR6gT6eV6cW6b\ Y6`_6Z`6Yb6Wc6Ue6Tg6Rh7Pj7Ol7Mm7Ko7Jp7Hr7Ft7Eu7Cw7\ Ax79x77x75x74x87x99x9BxADxBFxBHxCKxCMwDOwEQvESvFUu\ GXtGZtH`sHbsIdrJfqJiqKkpLmpLooMqoMslLqjKohKmeJkcJi\ aIg_IeXHcVHaTG_QFYOFWMEUKESHDQFDODCMBCKAFMAHOAJQAL\ RAOTAQVASWAUYAX_AZaA`bAbdAefAggAiiAkk7ljAmlCmnFnoH\ nqKosMotPpvSrxRrxQrxjXsVTiPmtPksOiqNhpMfnMdmLclKaj\ K_iJZgIXfHVdHUcGSaFQ`_atX_qVZoTYmRWkPViNUgLSeJRcHQ\ aCrGDrHDqIDpJDoJDnKDmLDlL } 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 PARAMETER FILE=========================================

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FOTD 19-11-05 (Pentagons [8])
by Jim Muth 19 Nov '05

19 Nov '05

FOTD -- November 19, 2005 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD rates an 8, and with its glowing pentagons, the image is unusual enough to make it an honest 8. The image is a Julia set of the Z^1.11+C Mandeloid as it appears 111 levels up the complex log spiral. The Mandel aspect of the scene is an egg-shaped open bay surrounded by much chaos. Today's Julia set is associated with a point just offshore of the southwest shore- line of the bay, a point where the chaos is at a minimum. A quick glance will reveal the reason why I named the image "Pentagons". It is filled with bits and pieces of near-perfect Pentagons, with a few whole pentagons thrown in for good measure. The rating of an 8 is the first rating this high in a number of months. The render time of 4-1/4 minutes can be elimi- nated by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun shone bright all day Friday here at Fractal Central, but the temperature of 39F 4C was too cold for the ears and paws of the fractal cats. They decided to spend the day sleeping on their shelf by the window, only occasionally opening their eyes to check for passing birds. My day was satisfactory. The next in the near-endless string of FOTD's will appear in 24 hours. Until then, take care, and iterate until you drop. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pentagons { ; time=0:04:15.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.120052/-0.119167\ /1.31844/1/90/3.88578058618804789e-016 passes=1 params=1.11/0/111/0/-0.041/0.146/0/0 float=y maxiter=256 inside=bof60 logmap=yes periodicity=10 colors=000cdLacN_bPYaRW`PU_NSZLQYKOXIMWHKVFIUDGTCE\ SACR9AQ78P6zmc40930C20E10H20J40M60O80R90T90W90YA0`\ A0cB4eB9hBDjCFmCGoCFrDFtDEwXImVHoTHpRGqPGrNGsLFuJF\ vHEwFEx4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgq`vQ_tSZrTY\ pVXnWWlYVjZUh`TgaSecRcdQafP_gOYiNWjMUlLTmKRoJPpINr\ HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\ XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\ KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\ 8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\ nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\ shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\ vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\ 6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\ U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\ BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\ S`aWbf_dkcfpghukjzorh`ySM } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 18-11-05 (Julia Star [6])
by Jim Muth 18 Nov '05

18 Nov '05

FOTD -- November 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: When I checked my e-mail this morning, I found a message from my credit-card company informing me that my card had been charged 4,900 dollars for a big-screen TV set. The e-mail instructed me to click on the included link and go to the card company's web site if I thought an error had been made. Since I have never purchased a big-screen TV, it appeared that some fraud had indeed taken place. Luckily for me, I open all my e-mail in text mode, and I noticed at once that the link was fraudulent. The link actually was to a web site with an address something like 243.43.561.37. The letter was a 'phishing' scam, designed to steal my personal information. (The e-mail informing me that I had won a lottery was also a scam.) The only thing genuine in all this is today's image. Today's fractal shows a Julia set of the Z^1.11+C Mandeloid as it appears 11 levels up the logarithmic spiral, where the parent fractal resembles a huge stretched out ellipse. Today's Julia set is associated with a point near a small valley on the south- ern end of the ellipse. The Julia set resembles an off-center star, which I have colored in a rather sensational manner. The maxiter of 256 gives every color in the 256-color map a role to play, though only the first 75 or so colors play a significant role in the appearance of the image. The rating of a 6 may be taken as a recognition of my fractal- coloring skill. Normally, my humility prevents me from admit- ting how great I am, but for one day I'll forget my humility. The name "Julia Star" refers to the shape of the fractal. The render time of 27 seconds is fast enough to please even the most impatient fractalist. For the convenience of those with over-qualified computers, the completed GIF image has been posted to the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was mostly sunny here at Fractal Central on Thurs- day, but the wind was up and the temperature never rose over 41F 5C. The cats went outside on schedule. Within an hour they decided that warmth was better than adventure. At one point I heard them chasing each other up and down the stairs, something they once did every day but have not done in months. I guess their inner kittens are acting up. The next FOTD will appear 24 hours from now in its full glory. Until then, take care, and be at peace with your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Star { ; time=0:00:27.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.115487/-0.208774\ /0.8191828/1/32.5/-2.50563458870090017e-014 params=1.11/0/11/0/-0.388/-0.245/0/300 float=y maxiter=256 inside=255 logmap=yes periodicity=10 colors=0000AA0AA0AA0AA1AA2AA3AA4AA5AA6AA7AA89A9BFA\ CLBERCFXDHbFIhKNgPSgTXg_agfhlmortuwjnl`haSbUKYPDUK\ 7QGHN5raDhcP_e`VggWiiWkqWlzcbhjTZqJPxAGuJIsRKpZMnf\ OknQivRbfNXSKRDHZUOfjVZkTSlRKmPDnOFpTHqYJraLsfNukP\ woQxiQzcRzYRzTRzNSzHSzBSz6Vz6Xz6Zz6`z6bz6dzAezEfzI\ gzMhzQmzUszYwz`zzfzzlzzrzzRzzBzztzz6zzjzzjzzazzUzz\ LzzDzzCzzKzzRzzYzzdzz`zzYzzVzzTzzRzzOzzMzzKzzIzztz\ zqzznzzkzzWzzGzz1zz2zz2zz2zz2zz2zz2zz2zz8zzEzzKzzQ\ zzWzz`zzYzzVzzSzzPzzMzzJzzHzzRzz_zzizzrzzizz`zzSzz\ JzzAzz2zz7zzBzzGzzKzzPzzUzzSzzRzzQzzPzzSzzVzzYzz`z\ zczzazz`zzZzzYzzWzzVzzPzzJzzDzz7zz2zzCzzLzzVzzczzm\ zzvzz_zzEzzDzzDzzDzzDzzDzzDzzJzzPzzUzzRzzOzzMzzJzz\ HzzEzzCzzizzhzzgzzfzzezzezzczzazz_zzZzzXzzVzzUzzWz\ zYzz_zzazzczzezzgzzizzkzzmzzozzqzzszzuzzvzzrzzozzk\ zzhzzdzzazzYzzVzzPzzJzzEzzAzz6zz3zzAzzHzzOzzVzzazz\ hzznzzAzzMzzXzzzzzzzzuzzq } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction
by Russell Walsmith 18 Nov '05

18 Nov '05

Thanks Gerald, I'm beginning to get a bit of feel for what's going on in these formulas. Very ingenious! I marvel that you are so conversant with this type of programming. Is writing code then your profession? If so, what is your speciality? (Just curious, if such questions aren't too personal... I promise not to sell the info to telemarketers or junk-mailers. :-) BTW, could you give me some initial values for '3dJulibrot_simple' that generate a nice image? Thanks again. Ciao, Russell ----- Original Message ----- From: "Gerald K. Dobiasovsky" <gerald.dob(a)aon.at> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Re: quaternion product correction Date: Tue, 8 Nov 2005 09:16:01 +0100 > > > Russell Walsmith wrote: > > > I'm still stoked on this formula. Morgan Owens and Hiram Berry > > should see >this! > > Russ, > > There's really not much to it, provided one removes the additional stuff > like 3d rotations and the like (and if a certain formula author wouldn't > be too lazy to use comments in his "works" at all ;-)). > > One faces two problems in writing a formula for greyscale depth display: > > 1) The formula parser doesn't provide a direct way to assign a color to > the given pixel, only hardwired methods are available. > > 2) Each Fractint formula only has one main iteration loop, no constructs > for nested loops are part of the parser. > > 1) > The first point comes up in "standard" 2d fractal images as well, and > a number of ways to emulate the behaviour of a "color=..." keyword have > been worked out by different persons, often independently. > > The general idea is to (mis)use the given variable "z". > Through "z" Fractint tracks a pixel's orbit, checks for periodicity to > shorten calculations, tests for finite attractors, and uses its content > in some of the coloring methods. > > The coloring method I am exploiting is "summ". > By enabling it, Fractint uses iter + real(z) + imag(z) as the color index. > Now, to force a certain color number, I only need to put into "z" that > color number *minus the iteration count*. Since Fractint adds this count, > it effectively cancels it, leaving only the color index number (and the > imaginary part of "z" in this case is zero anyway, so no problem here). > > 2) > The second point comes up because of the 3d nature of the scene. > One has to step from near towards far clipping plane, at each step > iterating to determine if the point is still outside the fractal, > only stopping if either the fractal or the far clipping plane is reached. > This, however, is easily wrapped up into one loop. One only has to make > sure Fractint's own iteration count doesn't get in the way. > > --- > Below I have put a formula stripped of all the additional stuff that makes > it hard to see what's going on (and - cough - even put comments into it!) > > Random note: > Fractint allows color 1 to 255 for this type of outside coloring. > Since one background color is needed, 254 colors remain for the fractal. > Therefore the max. number of (depth) slices is 254. > > Ah, and see the change from "p3 >= i" to "p3 > i" (last line); > all the years(!) it didn't dawn on me it causes one iteration too many :-/ > > Regards, > Gerald > > ---------------------------- Formula follows ------------------------------- > > 3dJulibrot_simple {;periodicity=no, outside=summ > ;maxit > p3real*(p3imag+1) > ;(maxit = Fractint's Maximum Iterations on <x> screen) > ;----------------------------------------------------- > ;p1 : Far clipping Julia parameter c > ;p2 : Near clipping Julia parameter c > ;p3 real: Maxiter per slice > ;p3 imag: Number of slices - 1 > ;p4 real: Bailout > ;----------------------------------------------------- > stepnum = imag(p3) > delta = (p1-p2)/stepnum ;Complex step to add to current c for next slice > zz = pixel ;Initialize screen variable > c = p2 ;Start with near clipping Julia parameter c > j = m = i = 0: ;j ... overall loop count > ;m ... slice number > ;i ... loop count for each slice > zz = sqr(zz) + c ;Iteration formula > IF (p4 >= |zz|) ;Bailout condition test > i = i + 1 ;No bailout, increment slice loop count > ELSE ;Bailout, so... > i = 0 ; reset slice loop count > m = m + 1 ; increment slice number > c = c + delta ; update Julia c to next slice's value > zz = pixel ; re-initialize screen variable > ENDIF > z = m - j ;Feed slice number to Fractint display engine, > ; compensating for overall iterations. > j = j + 1 ;Increment overall loop count > stepnum >= m && p3 > i ;Keep going if not past last slice and if not > ; inside set (maxiter per slice not reached). > } > > ---------------------------- End of formula ------------------------------- > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Is the fractal program you use able to read Fractint formula and/or parameter files?
by Jim Muth 18 Nov '05

18 Nov '05

At 12:38 PM 11/17/05 -0500, Hal Lane wrote: >>I explore fractal worlds ... using another program >What program do you use? You are probably referring to the program I mentioned in the FOTD discussion for Nov 14. That image is from the late 1980's. Back then I experimented with several fractal programs before settling on Fractint. I think the "Very Early" image was created with a program named "Recursive Realm", which saved images in PCX format and has been out of print for many years. Today I use Fractint exclusively for my fractal exploration. Jim M.

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Is the fractal program you use able to read Fractint formula and/or parameter files?
by Hal Lane 17 Nov '05

17 Nov '05

>I explore fractal worlds ... using another program What program do you use? Is it able to read Fractint parameter and/or formula and/or color map files? I seem to remember that there are some fractal programs that have adapted Fractint file formats as a 'standard' way of describing fractal information. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### ##################################################################### >-----Original Message----- >From: Brian Prentice [mailto:bprentice@webenet.net] >Sent: Sunday, November 13, 2005 12:43 PM >To: philofractal(a)lists.fractalus.com >Subject: Re: [philofractal] FOTD 13-11-05 (A Julia Set for All-3 [7]) > >> Maybe the FOTD is nearing its last lap. > >Jim, > >I sincerely hope not. I enjoy exploring the fractal worlds that you >introduce us to and illustrate so well. Unfortunately I have to do so on >a fractint challenged computer using another program and sometimes use >more than one layer. > >Brian Prentice -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.362 / Virus Database: 267.13.3/173 - Release Date: 11/16/05

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Re: Russ Walsmith PAR
by JackOfTradeZ 17 Nov '05

17 Nov '05

""You might find this par interesting. Take real(p1) and/or 1mag(p1) through 360 to rotate the object, and real(p3) from 1 to 0 to morph it."" I won't bother with the rotation since you (or someone recently) already did it. However, the morph looks cool and it is currently rendering; may take a while cause these images take long to render. I'll post it when done. !!@#^&*()!# Every time I think I'm done with these things and start to get back to coding and gaming someone shows me a new freakin' fractal I gotta animate! :( JoTz

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FOTD 17-11-05 (A Mandel Set for All-3 [6])
by Jim Muth 17 Nov '05

17 Nov '05

FOTD -- November 17, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image subtracts a little Z^5 from some Z^3 before adding C. The result is midget not quite like any I have seen before. In fact, it's not only the midget that's weird. The whole area of the parent fractal in which the midget lies is kind of weird. It deserves more investigation, which I will likely give it in a day or two. The real p1 and p2 parameters are critical. Even a small change totally loses the scene. The rating of 6 seems about right for the image. The render time of 1-1/2 minutes is lightning fast, but a download of the finished image is more convenient. That download may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> While browsing the December issue of 'Scientific American' magazine recently, I came upon a speculative article stating that spacetime might be a kind of fluid much like the luminifer- ous ether of 19th century physics. If it were so, it would mean the end of 20th century ideas such as relativity and quantum mechanics, but since these theories are mutually incompatible, their time to fade into the past might be approaching anyway. I may have more to say about all this new stuff once I have read the article more carefully and given the topic more thought. Right now I will only wonder what the spacetime fluid is sup- posed to be made of. Wednesday was warm enough here at Fractal Central, but it was breezy, and there were frequent showers. The cats spent the afternoon sulking on their window shelf, watching the wind blow and the showers move over. My day was fairly routine, with only a minimum of sulking. The next FOTD will be posted in 24 hours. Until then, take care, and is the world of fractals good, evil, neutral; or is it whatever one makes of it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-3 { ; time=0:01:23.54--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.43154027465265790/+0.005072105040872\ 53/4.920411e+007/1/20/-2.57364112225821895e-006 params=0.965/3/-0.193/5/0/0 float=y maxiter=1200 inside=0 periodicity=10 colors=000GMNGNOHPQ8qqCnmFkjIhgMecPc`S`YVYVZVRaSOd\ QLgNIkKEnHBqE8tC5sH8sLBsQErUHrYKrbMrfPqjSqoVqsYqw_\ gsaZpcPldGif7fg7eh8eh9eiAeiAdjBdjCdkDdlDclEcmFcmGc\ nGbnHboIboJbpJaqAKo9HoCIlFIjIIhKIfNIdQIbTI_VIYYIW`\ IUcISeIQbFP`CPZAPX7OV4OT2OX8R_EUcJXfP`jUdm_hqdltjq\ wowztzlghgcfb`cYXaSTZNPXIMUDIS8EP3BN89KD8IH7GM6DQ5\ BV49Z36c24g12Z4EQ6PH9`8Bk0Dv8CsGBqNAnV9lb8ji7gq6ex\ 5ct9ZpDUlGPhKLdOG`RBXV6UY2clm_jjWigShdOfbKe_GdXCbV\ 8aS4`P1_N5fR9mUDsXDr_DqcDpgCtnDpjDlgDhdDeaDaYDYVEV\ SERPENLEKIEGFECCE99KKBQUCVcE`mFgxEewGNFuOGuPGtQGsR\ HrRHrSIqTIpUJpVJoWKnWKnXKmYLlZLk_Mk_Mj`NiaNibOhcOg\ dNhcOgcPfcQecRdbRcbSbbTabU`aU`aV_aWZaXY`XX`YW`ZV`_\ U`_U_ZT_YS_XRZWQZVPZUOYUNYTMYSLYRKXQJXPIXPHWOGWNFW\ MFWLEVKDVKCVJBUIAUH9UG8UF7TF6TE5TD4SC3SB2SA1UB0SA1\ RA1Q91P92O82N82M83L73J73I63H64G64F54E55D45C45B45C6\ 7C89DABDBCEDEEFGFHIFIJFKL } 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 PARAMETER FILE=========================================

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Re: [Fractint] Re: Fractint Digest, Vol 33, Issue 5
by Russell Walsmith 16 Nov '05

16 Nov '05

Jotz, You might find this par interesting. Take real(p1) and/or 1mag(p1) through 360 to rotate the object, and real(p3) from 1 to 0 to morph it. Ciao ----------------------------Par file------------------------------------ anime { ; Greyscale depth image ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=file.frm formulaname=tc-set passes=3 center-mag=-0.364862/-0.260263/0.4578239 params=0/0/-2/1/1/0/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=000100000000PPPzzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvv\ vuvvvuwvuuuuutuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppp\ popppoqpooooonooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjj\ jijjjikjiiiiihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddd\ dcdddcedcccccbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZ\ ZYZZZY_ZYYYYYXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTT\ TSTTTSUTSSSSSRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNN\ NMNNNMONMMMMMLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHH\ HGHHHGIHGGGGGFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBB\ BABBBACBAAAAA9AAA9BA9999989998A98888878887987777767776876666656665765555\ 5455546544444344435433333233324322222122213211111011102 } ----------------------------frm file------------------------------------ frm:tc-set {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: t --> c morph ;p3imag: ---- ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = 0 y1 = 0 z1 = real(p4) j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = real(p3)*a + (1-real(p3))*c + cx, y1 = b + cy, z1 = (1-real(p3))*a + real(p3)*c + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = 0, y1 = 0, z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ----------------------------end------------------------------------ ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: Fractint Digest, Vol 33, Issue 5 Date: Tue, 8 Nov 2005 18:28:48 -0700 > > ""I'm still stoked on this formula. Morgan Owens and Hiram Berry should see > this! Oh yeah, and Lloyd Garrick (aka Jaçk Of TraÐeZ); > http://www.sonic.net/~jot/ufvp.html) should consider animating it, IMO..."" > > Exactly which formula are you refering to? There were many in the last > couple mailings and I will check it out after the current projects; I am > zooming into Jim Muth recently posted "squared" mandelbrot, the "diamond", > and also continuing the 2nd MuthZooM to the terminal minibrot at e+26, > almost done.

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FOTD 16-11-05 (A Mandel Set for All-2 [7])
by Jim Muth 16 Nov '05

16 Nov '05

FOTD -- November 16, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal combines negative portions of Z^2 and Z^3, then adds C. The resulting parent fractal is a Mandelbrot set with a few added frills and a lot more action in East Valley. Today's image is located rather deep in the added action of East Valley. I named the image "A Mandel Set for All-2", which is more a catalog listing than a proper name. The unusual effect was achieved by rendering the image with the outside set to 'fmod' and a proximity of 1.1. The mathtolerance entry in the para- meter file assures that the image is rendered at the right magnitude. The rating of a 7 indicates that I consider the image well worth the effort of rendering it. At the same time, the render time of 10-1/2 minutes is slow enough for the download to be the better choice. The completed GIF file may be found on the FOTD web site, ready for download. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung heavy all Tuesday morning here at Fractal Central, but the sun emerged in mid-afternoon and the temperature was warm enough for the cats to make the most of things. They spent the afternoon lurking (more likely sleeping) in the holly patch. Their day was made complete by a dish of tuna in the evening. My day was relatively uneventful. The next FOTD will appear here in 24 hours. Until that mystical moment arrives, take care, and enjoy the mystery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-2 { ; time=0:10:29.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.83507435707595210/+0.000000401545732\ 68/8.265932e+011/1/102.5/0 float=y params=-1.05/2/\ -0.21/3/0/0 maxiter=1250 periodicity=10 inside=0 proximity=1.1 outside=fmod mathtolerance=/1 colors=000WZuWZuX_uX_tX`tXatYasYbsYbsYcsZcrZdrZerZ\ eq_fq_fq_gp`gp`hp`ho`ioajoajnaknaknblmblmbmmanobmn\ bmmbmmbmlcmkcmkcljcljdlidlhdlhdlgelgekfekeekefkdfk\ dfkcfjbgjbgjagjagj`gj_hj_hiZhiYhiYiiXiiXiiWihVjhVj\ hUjhUjhTkhSkhSkgRkgRlgQlgPlgPlgOnhPlgOjfNheMgdMecL\ cbKaaK``JZ_IXZHVYHUXGSWFQVFOUENTDLSCJRCHQBGPAEPADO\ 9CO8BO7AO89O89O89O99O98O98O98OA8OA8OA8OA7PB7OB7PB7\ PB7PC6PC6QC6PC6QD6QD6QD5QD5RE5RE5RE5RE4SF4SF4SF4SF\ 4TG4TG3TG3TG3UH3UH3UH1VG3VH5WI7WJ8WJAXKCXLDYMFYMHZ\ NJ_OK_PM`PO`QPaRRbSTbSVcTWcUYdV_eV`eWbfXdfYfgYghZi\ h_ki`li`jQXf2Rh6Ui9WjCYlG_mJanMcoPeoOeqKjoNemPakRY\ iTUgVQfXLdZHb`D`b9Zd5Xi0Yg1Yf1Zd1Zc1_b1_`2`_2`Z2aX\ 2aW2bV3bT3cS3cR3dP3dO3dN4eL4eK4fJ4fH4gG5gF5hD5hC5i\ B5i96j86j76k56k46k36i58h69g7Ae9BdACcBDbDE`EF_FGZHI\ XIJWJKVLLUMMSNNRPOQQPPRQNTSMUTLVUJXVIYWHZXG`YEaZDb\ _CdaAeb9gd8jf7lh5ni4ql3sn } 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 PARAMETER FILE=========================================

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FOTD 15-11-05 (A Mandel Set for All-1 [6])
by Jim Muth 15 Nov '05

15 Nov '05

FOTD -- November 15, 2005 (Rating 6) Fractal visionaries and enthusiasts: We recently had a short series of Julia sets for all, so why not a similarly short series of Mandelbrot sets for all? Today's image is the first in the series, but it has a problem -- it looks nothing like a Mandelbrot set. It looks more like an apparition of a golden shield. A quick glance gives the impression that the image has L-R symmetry. But a second glance reveals that first appearances can be deceiving. The fractal has no symmetry. Today's image actually is the Mandelbrot set that results when portions of Z^(-0.7) and Z^(-1.7) are combined and (1/C) is added. Of course, to create the special effects I used a few tricks. Rendered in the usual manner, the Mandeloid is little more than a roughly circular empty hole, with a few bits of debris scattered about. The extra excitement was added by rotating the image minus 90 degrees and rendering it with the inside set to 'atan'. Several other inside fills also work satisfactorily, but I had to choose one, so I chose the 'atan' fill. The name of the image is "A Mandel Set for All-1". I might have done better if I had named it something like "Golden Shield" or "Sunburst", but a name is a name and today's name has been determined. The image renders in 4 minutes on my machine. It downloads in even less time from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday here at Fractal Central turned out to be another day with lots of sun and unusually warm temperatures. As a result, the cats behaved like angels. My day was about as close to average as it is possible to come. The next FOTD will appear right here in 24 hours. Until then, take care, and fractals might exist only in the mind, but from where did they enter the mind? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-1 { ; time=0:04:01.07--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-19.0779/0/0.01902579/1/-90/-1.2337e-014 params=0.5/-0.7/0.25/-1.7/0/0 float=y maxiter=1500 inside=atan logmap=yes periodicity=10 colors=000cAUaAUYAUUAUTAUEAU7AU0AU4AU8AUAAUCAUCAUD\ ATDASDARDAQDAPDAPDAODANDAMDALD9LD9KD9ID9FD9CD99C96\ B93A90A80A70A60A50A40A30A20A10A00A00A00A00A009B0DB\ 0AA0A90A80A70A60A50A40A32A24A16A08A0AA0CA0EA0GA0ID\ 0KG3MJ6OM6QP5SS4UV6WY7Y`8_b9acBcdCeeDgfEihGkiHmjIo\ kJqlLsmMunNwoOxqQyrRzsSztTzuVzvWzwXzxZzu`zrazoczmd\ zjdzgezdezbez_fzXhzWizVjzVkzVlzVmzVozVqzUozUmzUkzU\ izUgzQezUczXaz__zc_zfZwiYtlYqiWngUkeTgcReaPb_O`YMY\ WLWUJTSHRQGOOEMMCJKBHI9EG8CICGKFKMJNOMRQQURTYTXaV_\ dXchZfk`joamr`kp`in`hl`fk`di`cg`ae`_d`Zb`X``VZ`UY`\ SW`QUZNV`PTaRRcTQdUOfWMgYLi_Jj`IlbGmdEofDpgBri9sk8\ vm6zn4zl5zk6zj7zi8zh8yg9xfAweBvdBvcCvbDvaErbEqaFp`\ Go_HnZHmYKmXMmWOm`QmcSmfUmiVlgWkfXjeYidZhc_hb`gaaf\ _beZcdYdcXecWfbVgaUh`Ti_RjZQkZPlYOmXNnWMoVLpVKqUMp\ TOpSQoRSoQUnPWnOYnN_mMamLclKelJgkIikHkkGmjFojEqiDs\ iCuhBwh9yjBxhDwgFvfHudJtc } 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 PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 33, Issue 7
by Dorothy Gibbs 14 Nov '05

14 Nov '05

In message <E1EbLEx-0005TA-00(a)mailman.xmission.com>, fractint-request(a)mailman.xmission.com writes >Maybe the FOTD is nearing its last lap. NO NO NO ... it isn't! I look forward to it Jim. I noticed but knew you would correct it without any prompting from me. Dorothy -- Dorothy Gibbs (in Hertfordshire UK)

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FOTD 14-11-05 (Very Early [5])
by Jim Muth 14 Nov '05

14 Nov '05

FOTD -- November 14, 2005 (Rating 5) Fractal visionaries and enthusiasts: After the recent mistake I have decided to change the schedule of the FOTD. Instead of posting the FOTD around midday of its scheduled date, I will post it in the late evening of the day before or the very early morning of its scheduled date. Thus I am posting the FOTD for November 14 around midnight of the 13th. The image is a very old one -- from the late 1980's. It was originally in 16-color PCX format but I converted it to GIF to make it viewable in the Fractint program. Unfortunately, it was created by another fractal program, one that did not record parameters, so I cannot supply a parameter file. The only way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I have already sent the image, so unless something else has gone wrong, which, with my current luck, is entirely possible, it will probably be posted by the time you read this. This is typical of the stuff I was doing when I started my fractal adventures around 17 years ago. The image is obviously a scene in a perturbed Mandelbrot set. At the time I was fascinated by the intricate spirals of the perturbed sets, and also by the fact that a ghost image of the true M-set remains in the background of the perturbed sets. It was also around this time when I realized that the Mandelbrot sets and Julia sets are sections of the same four-dimensional object sliced in totally perpendicular directions. Today's image is named "Very Early". Unable to decide on a rating, I settled on an average rating of a 6. A near perfect day (lots of sun and 68F 20C) here at Fractal Central on Sunday gave the cats exactly what they needed to display their best behavior. They spent the afternoon alternating between the mostly shaded porch and the well concealed holly thicket. When evening arrived, they came inside for their tuna without being called. My day consisted of raking leaves and trying to think of a reason to avoid the task. The next FOTD will appear with its parameter file in 24 hours. Until then, take care, and where would we be without fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com NO PARAMETER FILE AVAILABLE=============================

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FOTD 13-11-05 (A Julia Set for All-3 [7])
by Jim Muth 13 Nov '05

13 Nov '05

At 08:13 AM 11/13/05 -0700, you wrote: >Jim, >>> The name "A Julia Set for All-3" indicates that it is the third >in the series of similar Julia sets. << >What happened to "A Julia Set for All-2"? You sent an e-mail yesterday >with that title, but it was just a repeat of "A Julia Set for All-1"! >Lee I apparently made a mistake. I have just posted the correct FOTD for November 12. The curious thing is that no one noticed the duplication until now, or if they did notice, they didn't consider it important enough to comment on. Maybe the FOTD is nearing its last lap. We'll see how it goes. Jim M.

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FOTD 12-11-05 (A Julia Set for All-2 [5])
by Jim Muth 13 Nov '05

13 Nov '05

FOTD -- November 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: Quite a while back, I received an e-mail from a forgotten someone who asked me why I so often end my FOTD discussions with such silly questions. Maybe it is because I am such a silly person. After all, why would any sensible person devote as much time and energy as I do to such a fruitless endeavor? But as for the questions, they are not supposed to be answered. They are merely philosophical thoughts in the guise of questions. Today's closing question for example asks about Julia sets on the head of a pin. It cannot possibly be answered because fractals are abstractions with no definite size. Anyone who tried to answer it would soon find themselves thinking about the true size of a fractal and would realize that a fractal is not the same kind of thing as a speck of dust or a planet. Today's image is a fractal. This much is certain. Yesterday's image was a Julia set of the south branch of Seahorse Valley of the Z^(2.01)+C Mandeloid as it appears 17 turns up the logarith- mic spiral. Today's image is a Julia set of the north branch of the same valley. But don't assume it is a repeat. The corres- ponding Mandeloid has no X-axis symmetry, and this makes today's image quite different. Yesterday's image consisted mostly of 'inside' stuff made active by the 'zmag' inside fill. Today's image shows a Julia set that consists totally of 'outside' stuff, quite a bit different from both yesterday's image and what would be expected in a conven- tional Julia set of Seahorse Valley of the familiar M-set. I named the image "A Julia Set for All-2". It is the second and maybe not the last in the series of similar Julia sets. The rating of a 5 indicates that I consider the image to be of average quality. The render time of 1-plus minutes assures that not too much time will be wasted if the image proves to be un- satisfactory. The finished product is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may conveniently be downloaded and the task of rendering completely eliminated. The partly cloudy skies and 52F 11C temperatures here at Fractal Central on Friday did not keep the cats from enjoying their usual time in the yard. The lack of wind made it easy for them to hear approaching danger. Today is starting cold, but it is sunny and the wind is calm. When it warms up this afternoon, the cats will have a good time. My day looks peaceful also. Until the next FOTD appears in 24 hours, take care, and how many Julia sets could fit on the head of a pin? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AJuliaSetForAll-2 { ; time=0:01:16.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0/0/0.9861933/1/-17.5/3.88578058619e-016 params=2.01/0/17/0/-0.7496/0.2947/0/0 float=y maxiter=1000 inside=255 periodicity=10 colors=000A0PA0PA0PA0PA0PA0PA0PA0PA0O90N90N80O80O7\ 0P70P60Q60Q50R50R80QB0QE0QH0PK0PM0PPLQWNVbP_hQdoSi\ uTnsTkrThqTepTboT_nTXmTUkTRjTOiTLhTIgTFfTCeTAWY_Mb\ ywQduScsTcqUboVbmWalXajYahZ`f_`d`_cb_acZ`dZ_eZZfYZ\ gY_hX`iXajWbkWckWdiUefTdcRc`QaYP_WNYTMUQLQOJOMINMH\ MOHMRHOVHTZHYbHcfHhjHnnHsrHxvHusIsqJpnKnlKkjLigMge\ NdcNb`O_ZPYWQVUQTSRRPSONTMLTJIUHGVFEVEGXEIYEKZDM`D\ OaDPbCRcCTeCVfBXgBYhB_jAakAclAen9go9hp9jq8ls8nt8pu\ 8qvCrqGsmJshNtdRt`UuWYuSavOdvJhwFkwBltDlqFlnGlkIli\ JlfLlcMl`OlZPmWRmTTmQUmNWmLXmIZmF_mCamAbfDa`GaVI`O\ L`IO_CQ_DRYDSXETVEUUEVSFWRFXPGYOGZMG_LH`JHaIIbGIcF\ IdELcINcLPbPRbSTaVVaZX`aZ`d`_hb_kd_n`VoYQpUSmQUjNW\ gJYdF_aCaZ8cW4eT1gR8iSEjTLlTRmUYoVcpVdoUemSflRgjQh\ iOigNjfMfgLcgK`gJYgIVhHShGOhGLhFIiEFiDCiC9iB6iB8jD\ 9jFAjHBjJCjLDjNFjPGjRHjTIkUJkWKkYMk_NkaOkcPkeQkgRk\ iSkjlJeoHdqFcsDbuCbpHcQLR } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 13-11-05 (A Julia Set for All-3 [7])
by Jim Muth 13 Nov '05

13 Nov '05

FOTD -- November 13, 2005 (Rating 6) Fractal visionaries and enthusiasts: For today's fractal we return to the Z^(2.01)+C Mandeloid and check it 300 levels up the logarithmic spiral, where it has rotated nearly 180 degrees, so that East Valley lies on the negative X-axis. The local elephant herd has has shifted west, perhaps in search of water. But once an elephant, always an elephant. Since elephants can not become seahorses any more than people can become elephants, the basic shape of the Julia set of our western East Valley is still what one would expect of an East Valley Julia set. This is where the similarity ends however. The fine-tooth-comb stuff that fills today's Julia set is a horse of a different color. I have never seen anything like it in any East Valley Julia set of the classic Mandelbrot set. The rating of a 6 is a bit above the average, which however is nothing to crow about. Perhaps if I had monkeyed around with the colors a bit further, I could have rated it at a 7, which would have made me proud as a peacock, but to be honest, the image really is little more than a humdrum Julia set of East Valley. The name "A Julia Set for All-3" indicates that it is the third in the series of similar Julia sets. I doubt that there will be a fourth in the series, and I'm not lion. I would be bats if I continued this unimpressive series. Today's image renders in only 1-3/4 minutes, which is quick as a bunny. Those with over-progressive machines that have forgotten how to do DOS may see the image by flying like an eagle to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished image from there. A totally perfect day here at Fractal Central on Saturday kept the fractal cats quite happy. Only the brief incursion of an unwelcome stray cat marred their happiness. But the other cat quickly departed when Tippy approached him and went into fight- ing stance. The day ended with both cats' noses in their tuna dish. Today is starting perfect again. My day will not be per- fect, as human beings have too many other things to be concerned about, but it looks like it will be pretty good. Until the next FOTD appears in 24 hours, take care, and will the real mystery please stand up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AJuliaSetForAll-3 { ; time=0:01:XX.XX--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0/0/1.041667/1/87.5/3.885780586188e-016 params=2.01/0/300/0/-0.267125/-0.006185/0/0 float=y maxiter=500 inside=255 logmap=yes periodicity=10 colors=000AcjAagAXcAWbAV`AUZASXAPVAMRAJOAGKADIACIA\ AIA9JA8JA9KAAKACKADLAGLAIMALMKNNUPNcPNkZszwytstoop\ ikldgh_cdX_`UXXQTTNPPJLLGHHCDD999665A57D59G5AJ4CN4\ EQ4FT3HW3I_3Kb2Mc2Nc2Pc2Qc3Oc4Mc4Lc5Jc5Ic6Gc6Fc7De\ 7Cc8Fa9I_BMYCPWDSUEVSFYQHaOIdMJgKKjILmHMpKLlMKiOJf\ RIbTI_VHXXGU_FQaENcEKcDGcCDcBAcB7cC8cD8cE9cE9cFAcG\ AcHFcHKcIPcJUcKZcKccHhcEmcCra9wX7z_BzbFzdIzgMzjQzl\ TzoXzq_znXzkUzhRzeOzbLzMrdMreNrfNsgOshOsiPsjPtkPtl\ QtmQunRuoRupSuqSvrTvsTvtTvuSsvSqwRoxRlyRjzQhzQezPc\ zPazPZzOXzOVzNSzNQzNOzMLzMJzMHzOOzPUzQ_zRezQbzP`zO\ YzNWzNUzMRzLPzKNzKKzJIzIGzHDzHBzG9zF6zE4zE2zLCzSMz\ YWzYZzYazYczYfzYizYkzYnzYqzYszXqzWozWnzVlzVkzUizUh\ zVfzVezWdzWczWbzX`zX_zXZzYYzYXzYWzWTzVRzTOzSMzQKzP\ HzNFzMCzKAzJ8zH5zG3zF1zG6zHBzIGzJLzKQzLUzMZzNczOhz\ PmzQrzRvzYgzdTzkEzr0zp4zo8znCzlGzkKzjNzhRzgVzfZzdb\ zcfzbiz`hz_hzYhzGazFdzFgz } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 12-11-05 (A Julia Set for All-2 [5])
by Jim Muth 12 Nov '05

12 Nov '05

At 11:55 AM 11/11/05 -0500, you wrote: > >FOTD -- November 11, 2005 (Rating 6) > >Fractal visionaries and enthusiasts: > >Today's fractal is a Julia set of the southern branch of >Seahorse Valley of the Z^(2.01)+C Mandeloid as it appears 17 >levels up the logarithmic spiral, where the Mandeloid has split >apart and rotated about 15 degrees. The image is a Julia set >for all, and that is what I named it. I added the '1' at the >end of the name because there might be more such Julia sets. > >A good part of the image consists of 'inside' stuff brought to >life by the 'zmag' inside fill option, which fills this set with >slightly organized chaos. The end result is a Julia set that >obviously is connected to Seahorse Valley, but is not quite what >we expect a Seahorse Valley Julia set to look like. > >A curious feature of the image is that its coloring changes as >the maxiter is raised or lowered. > >The rating of a 6 might be a bit overdone, but I rather like the >image, so the rating will remain. The render time of 10 odd >minutes borders on slowness. Luckily, rendering may be avoided >by downloading the completed image from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >A chilly, blustery, 50F 10C day on Thursday here at Fractal Cen- >tral kept the fractal cats unhappy. But a can of tuna came to >the rescue in the evening. Today is starting sunny but quite >chilly, and there is still a breeze. The cats will have to make >do with less than ideal conditions. My day will likely be close >to average. Until 24 hours from now when the next FOTD will >appear, take care, and relief is on the way. > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >AJuliaSetForAll-1 { ; time=0:10:41.25--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=JuliaBC passes=1 periodicity=10 > center-mag=0/0/0.9861933/1/-22.5/3.88578058619e-016 > params=2.01/0/17/0/-0.8075489172/0.039334604022/0/0 > float=y maxiter=1000 inside=zmag > colors=00030630840A40C50E50G60I60J70L70M70O80P80R9\ > 0S90UA0VA0XA0ZD0`G0bJ0cM0dP0eS0eV4gYCh`KidSog_ujcu\ > njuqcHTZBZUAcPAdKBdFCeCCeEDeFDfGEfIEfJFgKGgMGgNHhO\ > HhQIhRIiSJiUKjVKjWLjYLkZMk_MkaNlbOlcOlePmfPmgQmhQl\ > iRkjSjkTilUhmVgmWfnXeoYdpZcq_cq`braasb`tc_udZveYvf\ > XwgWxhVyiUzjUzjTxhTwgTveTudStbSsaSr`SqZSpYRoWRnVRm\ > TRlSRkRQjSQiUQhXQg_OebQfeSghUgkWhnYiq_itajwekzcjza\ > jz_izZizXizVhzThzSgzQgzOgzMfzLfzJezHezFezEdzCezAfz\ > 8gz9hz7iz6jz5kz4lz3my1nx2ow2pv3qu3rt4ss4ts5ur5vr6w\ > q6xq7yp7zp8zozzozzozznzznzzmzzmzzlzzlzzkzzkzzjzzjz\ > zizzizzhzzhzzdzzhzzlzzpzztzzxzzqzzkzzezz_zzTzzNzzH\ > zzBzzDzzFzzGzzIzzJzzLzzMzzOzzPzzRzzTzzUzzWzzXzzZzz\ > _zzazzbzzdzzfzzgzzizzjzzlzzmzzo9zrBzpCznDzlEzjFziG\ > zgHzeIzcJzaLz`MzZNzXOzVPzTQzSRzQSzOTzMUzKWzJXzHYzF\ > ZzD_zB`zAaz8bz6cz4dz3fz6hz9jzClzFnzIozLqzOszRuzUwz\ > Xyz_9zL8zJ7zH1zG7zFDzEIzD } > >frm:JuliaBC { ; Formula by Andrew Coppin > e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), > r=real(p2)-q, C=p3, Z=Pixel: > Z=log(Z) > IF(imag(Z)>r) > Z=Z+flip(2*PI) > ENDIF > Z=exp(e*(Z+flip(q)))+C > |Z|< p4+100 } > >END PARAMETER FILE========================================= > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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Re: Another Muth ZooM
by JackOfTradeZ 12 Nov '05

12 Nov '05

Zoom in animation of Jim Muth FOTD for 9/1/05, the Mandelbrot squared diamond. It is posted on my site; the direct link is: http://www.fractal-animation.net/vid/m_squared.zip WMV, 320x240, 60 sec, 4.2 MEG JoTz

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FOTD 11-11-05 (A Julia Set for All-1 [6])
by Jim Muth 11 Nov '05

11 Nov '05

FOTD -- November 11, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is a Julia set of the southern branch of Seahorse Valley of the Z^(2.01)+C Mandeloid as it appears 17 levels up the logarithmic spiral, where the Mandeloid has split apart and rotated about 15 degrees. The image is a Julia set for all, and that is what I named it. I added the '1' at the end of the name because there might be more such Julia sets. A good part of the image consists of 'inside' stuff brought to life by the 'zmag' inside fill option, which fills this set with slightly organized chaos. The end result is a Julia set that obviously is connected to Seahorse Valley, but is not quite what we expect a Seahorse Valley Julia set to look like. A curious feature of the image is that its coloring changes as the maxiter is raised or lowered. The rating of a 6 might be a bit overdone, but I rather like the image, so the rating will remain. The render time of 10 odd minutes borders on slowness. Luckily, rendering may be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A chilly, blustery, 50F 10C day on Thursday here at Fractal Cen- tral kept the fractal cats unhappy. But a can of tuna came to the rescue in the evening. Today is starting sunny but quite chilly, and there is still a breeze. The cats will have to make do with less than ideal conditions. My day will likely be close to average. Until 24 hours from now when the next FOTD will appear, take care, and relief is on the way. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AJuliaSetForAll-1 { ; time=0:10:41.25--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 periodicity=10 center-mag=0/0/0.9861933/1/-22.5/3.88578058619e-016 params=2.01/0/17/0/-0.8075489172/0.039334604022/0/0 float=y maxiter=1000 inside=zmag colors=00030630840A40C50E50G60I60J70L70M70O80P80R9\ 0S90UA0VA0XA0ZD0`G0bJ0cM0dP0eS0eV4gYCh`KidSog_ujcu\ njuqcHTZBZUAcPAdKBdFCeCCeEDeFDfGEfIEfJFgKGgMGgNHhO\ HhQIhRIiSJiUKjVKjWLjYLkZMk_MkaNlbOlcOlePmfPmgQmhQl\ iRkjSjkTilUhmVgmWfnXeoYdpZcq_cq`braasb`tc_udZveYvf\ XwgWxhVyiUzjUzjTxhTwgTveTudStbSsaSr`SqZSpYRoWRnVRm\ TRlSRkRQjSQiUQhXQg_OebQfeSghUgkWhnYiq_itajwekzcjza\ jz_izZizXizVhzThzSgzQgzOgzMfzLfzJezHezFezEdzCezAfz\ 8gz9hz7iz6jz5kz4lz3my1nx2ow2pv3qu3rt4ss4ts5ur5vr6w\ q6xq7yp7zp8zozzozzozznzznzzmzzmzzlzzlzzkzzkzzjzzjz\ zizzizzhzzhzzdzzhzzlzzpzztzzxzzqzzkzzezz_zzTzzNzzH\ zzBzzDzzFzzGzzIzzJzzLzzMzzOzzPzzRzzTzzUzzWzzXzzZzz\ _zzazzbzzdzzfzzgzzizzjzzlzzmzzo9zrBzpCznDzlEzjFziG\ zgHzeIzcJzaLz`MzZNzXOzVPzTQzSRzQSzOTzMUzKWzJXzHYzF\ ZzD_zB`zAaz8bz6cz4dz3fz6hz9jzClzFnzIozLqzOszRuzUwz\ Xyz_9zL8zJ7zH1zG7zFDzEIzD } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 10-11-05 (Crazy Trilobite [7])
by Jim Muth 10 Nov '05

10 Nov '05

FOTD -- November 10, 2005 (Rating 7) Fractal visionaries and enthusiasts: ;-) ;-) ;-) ;-) ;-) ;-) When I checked my e-mail box this morning, I found a letter telling me that I had been selected to be included in the next issue of Who's Who. I have no idea what I have ever done that makes me worthy of such honor. I didn't realize that fractals are so important. I also wonder why the publishers need me to submit my biography. They must have already known of my great fractals and my great graphic design ideas when they chose me for inclusion. But why did they notify me by sending a junky, poorly-written e-mail letter in HTML format, padded by random nonsense text? One would expect the notification of such an honor to arrive in a fancy snail-mail package or by a personal phone call. The next thing I know, they'll want me to pay for the honor of inclusion, which would make it no honor at all. ;-) ;-) ;-) ;-) ;-) ;-) While thinking of what to do about this, I'll turn to today's fractal, which is a Julia set of the Z^(1.5)+C Mandeloid as it appears 15 levels up the logarithmic spiral. The Mandelbrot point of today's Julia image is located in a truncated valley of the associated M-set. I named the image "Crazy Trilobite". For some reason it reminds me of one of those long-extinct creatures that once crawled in the slime of primordial sea floors. The rating of a 7 seems appropriate. Yes, I realize that the image has only one layer, but when it comes to fractals, one layer and a skilled fractalist are all that is needed. The render time of 4-1/2 minutes on my machine means that no one will be overly inconvenienced if they find the image not worth the effort. And as always, the completed fractal is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Despite the clouds that hung around all day Wednesday here at Fractal Central, the rain never arrived and the temperature reached 64F 18C. This was good enough for the fractal cats, who spent the afternoon out of sight in the holly thicket. Today is starting with sun and clouds, but the winds are up, and the cats dislike high winds that hide the sound of danger. We'll have to see how it goes. For me, the day coming up looks average. The next FOTD will appear in 24 hours. Until then, continue taking care, and wonder why so much care is necessary. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Crazy_Trilobite { ; time=0:04:27.76--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0.244131/0.0250522/1.041667 params=1.5/0/15/0/-0.2492/0.0617/0/0 float=y maxiter=1500 inside=bof60 periodicity=10 colors=000j5Bg6Be6Ab7A`79Y89V98T98QA7OA7LB6IC6GK5D\ N5BP5FSBIVHLYNOaSReYUicXmh_plZtpYxrXyuXzzWueVudUub\ Uu`Tu_SuYmuWzuVmuTmuRzzQmvPmwNmxMSxLWqMZkMaeMd_M`a\ PYcRVeTSgVPiXMkZJm`PfdU`gZVkcPnhJqiMniPkiRhiUeiWbi\ Z_i`XicUieRihOijLimIioFirCitAfqLcnV`ldYinWgxXdwXbv\ X`uYZtYXsYVrYTqZRpZPoZNn_Lm_Jl_Hk_FjWLdSQZOVTK_NGd\ HCiCEgFFfHHdJIcMKbOL`QN_TOYVQXXRWZTV_VV_WU_YU_ZT_`\ T`aS`cS`eS`fR`hRaiQakQalPanPaoPaqO`tN_vM_mLUdLPWLJ\ NLEEL85L35P75TB5XF5`J5dN8eLqKnoMnmOojQohRofTpdVpaX\ p_ZqY_qWaqTcrRerPgrNhrdiSvj1qi2mh3ig4ef5ae6Ye7Ud8Q\ c9MbAIaBEaCGZDHXDJVDKTDLRDNODOMDPKDRIDSGDUDDVBDW9D\ Y7DZ5D_3DY5LW7TU9`SBhQDpPEwRCsTBoVAlX8hZ7d`6ab5Yd3\ Uf2Rh1Nj0Kg5JdAJaEI_JIXOHUSHRXGPaGMeFJjFGoEEsEFpFF\ nGGlHGjHHgIHeJIcKIaKJZLJXMKVNKTNMPLOLJQHIQHIQHJQHJ\ QIJQIJPIJPIJPJJPJJPJJPJJPJJPKJOKJOKJOKJOKJOLJOLJOL\ JOLJF`LNLJNMJNMJjGBlACm4C } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: [Fractint] Triternions Ikenaga and Lambda
by Russell Walsmith 10 Nov '05

10 Nov '05

Thanks for your interest in the triternion formulas, Gilles. List members may enjoy your elegant galleries at http://www.mathsong.com/casaraku/ Ciao, Russell ----- Original Message ----- From: "gilles nadeau" <gillesnadeau56(a)videotron.ca> To: fractint(a)mailman.xmission.com Subject: [Fractint] Triternions Ikenaga and Lambda Date: Sun, 06 Nov 2005 02:41:50 -0500 > > Hello all, > > I am new on this list but I use Fractint since 1994. I have > difficulty in include/understand English and I use a translator. > I would like to propose two new models of "Triternion". T_Ikenaga > and T_Lambda. The formulas triternion are mysterious. > I read that those would be 6-d. I am not a mathematician and I > does not know exactly what that means. > Here two formulas. > > Gilles Nadeau > > > T_Ikenaga-XZ {; 6-dimensional M-Set > ; based on formulae by Russell Walsmith > ; Gilles Nadeau, March, 2005 > ; > x=y=t=u=v=w=0 > cx=real(pixel) > cy=real(p1) > ct=imag(pixel) > cu=imag(p1) > cv=real(p2) > cw=imag(p2) > : > tx= x^3+t^3+v^3-3*(x*y^2+t*u^2+v*w^2)+6*(x*t*v-x*u*w-y*u*v-y*t*w) > ty=-y^3-u^3-w^3+3*(y*x^2+u*t^2+w*v^2)+6*(y*v*t-y*w*u+x*w*t+x*v*u) > tt= 3*(t*x^2-t*y^2+v*t^2-v*u^2+x*v^2-x*w^2)-6*(t*u*w+x*y*u+y*v*w) > tu= 3*(u*x^2-u*y^2+w*t^2-w*u^2+y*v^2-y*w^2)+6*(x*v*w+x*y*t+t*u*v) > tv= 3*(v*x^2-v*y^2+x*t^2-x*u^2+t*v^2-t*w^2)-6*(u*v*w+x*y*w+y*t*u) > tw= 3*(w*x^2-w*y^2+y*t^2-y*u^2+u*v^2-u*w^2)+6*(t*v*w+x*y*v+x*t*u) > dx=cx*x-cy*y+cv*t-cw*u+ct*v-cu*w > dy=cy*x+cx*y+cw*t+cv*u+cu*v+ct*w > dt=ct*x-cu*y+cx*t-cy*u+cv*v-cw*w > du=cu*x+ct*y+cy*t+cx*u+cw*v+cv*w > dv=cv*x-cw*y+ct*t-cu*u+cx*v-cy*w > dw=cw*x+cv*y+cu*t+ct*u+cy*v+cx*w > x=tx+dx-x-cx > y=ty+dy-y-cy > t=tt+dt-t-ct > u=tu+du-u-cu > v=tv+dv-v-cv > w=tw+dw-w-cw > z=x+flip(t) > z2=y+flip(u) > z3=v+flip(w) > |z|+|z2|+|z3|<=64 > } > > T_Lambda-XZ {; 6-dimensional M-Set > ; based on formulae by Russell Walsmith > ; Gilles Nadeau, March, 2005 > ; > x=0.5 > y=t=u=v=w=0 > cx=real(pixel) > cy=real(p1) > ct=imag(pixel) > cu=imag(p1) > cv=real(p2) > cw=imag(p2) > : > tx=x*x-y*y+v*t-w*u+t*v-u*w > ty=y*x+x*y+w*t+v*u+u*v+t*w > tt=t*x-u*y+x*t-y*u+v*v-w*w > tu=u*x+t*y+y*t+x*u+w*v+v*w > tv=v*x-w*y+t*t-u*u+x*v-y*w > tw=w*x+v*y+u*t+t*u+y*v+x*w > dx=x-tx > dy=y-ty > dt=t-tt > du=u-tu > dv=v-tv > dw=w-tw > x=cx*dx-cy*dy+cv*dt-cw*du+ct*dv-cu*dw > y=cy*dx+cx*dy+cw*dt+cv*du+cu*dv+ct*dw > t=ct*dx-cu*dy+cx*dt-cy*du+cv*dv-cw*dw > u=cu*dx+ct*dy+cy*dt+cx*du+cw*dv+cv*dw > v=cv*dx-cw*dy+ct*dt-cu*du+cx*dv-cy*dw > w=cw*dx+cv*dy+cu*dt+ct*du+cy*dv+cx*dw > z=x+flip(t) > z2=y+flip(u) > z3=v+flip(w) > |z|+|z2|+|z3|<=128 > } > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 09-11-05 (She Sells Sea Shells [6])
by Jim Muth 09 Nov '05

09 Nov '05

FOTD -- November 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: She sells sea shells down by the seashore. It's an old tongue- twister that I learned back in the middle of the last century. The first four words, "She Sells Sea Shells", is the name of today's fractal, which reminds me of a pile of colorful sea shells washed up on some remote beach. The image, which is a 50-50 mixture of inside and outside stuff, was created by combining generous portions of Z^(-0.2) and Z^(-5.5) then adding (1/C). To create some extra excitement, the inside was set to 'fmod' with a proximity of 5, while the outside was set to 'tdis'. The parent fractal appears as a circular hole with some unim- pressive features scattered inside it. Only a small area shows potential, and it is this area that I chose to investigate. IMO, today's image rates a 6. A recent note on the list sugges- ted that I might rate the FOTD's according to more than simply how much effort I put into the coloring. I am considering an expanded rating system which will break the rating into two parts -- a fractal part and an artistic part. We'll see what I eventually decide to do. Today's image takes 4-3/4 minutes to come to life on my old and impossibly-outdated fractal-dedicated machine. Newer machines will bring it into existence in only a fraction of that time. Of course, the completed image has been posted as always to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There wasn't much sun here at Fractal Central on Tuesday, but the temperature reached a high of 70F 21C, which kept the frac- tal cats quite happy. They spent a long uneventful afternoon lurking in the holly patch, watching for unwanted tomcats. But today is starting cloudy with rain in the area. I doubt that the good day will be repeated. The next FOTD will be posted in 24 hours, give or take an hour or two. Until then, take care, and what's it all about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SheSellsSeaShells { ; time=0:04:43.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.07359315904045856/+0.004686271523444\ 79/2.673082e+007/1/-90/3.88578058618804789e-016 params=20/-0.2/16/-5.5/0/0 float=y maxiter=1500 inside=fmod proximity=5 outside=tdis periodicity=10 colors=000K7LJ7PH7TG7X_ZAaY8cW7dU6fS5hQ3jO2lM1mL0l\ N2lO3kP5kQ6kS8jT9jUBjVCiXEiYFhZHh_IhaKgbLgcNgdOifP\ jhPljQmlRopQnmRmjRlgSkdSkbSj_TiXThUTgRUgPUfMUeJVdG\ VXDkdEVg2HkEEoQCr`Avl8yw6wsAvoEukIshMrdPq`ToYXnU`m\ QdlNghPeeQcbRaZS_WUZTVXPWVMXT1VZJYSe`O__MVZLQZKLYI\ GXHAYFBXGCXGDXHEXHFWHGWIHWIHWIIVJJVJKVKLVKMUKNULOU\ LN`GOULQLQPOPPROPUNOXMO_LOaKOdJNgINjHNmGNoGWpXdpla\ miZjgWheTecQbaN`_LYYIVWFTUCQS9NQ6LO3IM1GK7IICJHHKF\ MLERMDWNB`OAeP9jQ7oR6sY0tS5uMAvGFx7KwBKvFKvJKuNKtR\ KtUKsYKraKreKqiKpmKryLppKogKm_KlRKjIKj3LiAKhGKgNJf\ TJe_IdeIdkIbfNaaS`XXZSaYNfXIkVBsWDoWFlXHhXJeXLbYNZ\ YPWROYYQTgTKdSObSS_SWYS_VScTSgQSkOSoMSsIhfFyVIwUKu\ TMsSPqRRoQTmPWkOYiN`iN_hMZhLYgLXgKWfKVfJVeJUeITdIS\ dHRcHQcGQcGOdLMePPgVLeTHdSDbR8`PAaQCbREcSGdTIeTKfU\ LgVNhWPiWRjXTkYVlZWlZHITIHSIGRIFQIFQJEPJDOJDNJCNKB\ MKBLKAKK9KL9JL8IL7HN8CL7H } 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 PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 33, Issue 5
by JackOfTradeZ 09 Nov '05

09 Nov '05

""I'm still stoked on this formula. Morgan Owens and Hiram Berry should see this! Oh yeah, and Lloyd Garrick (aka Jack O'Tradez; http://www.sonic.net/~jot/ufvp.html) should consider animating it, IMO..."" Exactly which formula are you refering to? There were many in the last couple mailings and I will check it out after the current projects; I am zooming into Jim Muth recently posted "squared" mandelbrot, the "diamond", and also continuing the 2nd MuthZooM to the terminal minibrot at e+26, almost done. BTW, my handle is JaÃ§k Of TraÃeZ. Get it right. Margaret, As for the number of frames in a zoom sequence, you need to find that by experiment, there is no rote formula. Too few and it will zoom in too fast and be dissapointing. Too many is better cause it goes nice and smooth and slow but it takes much longer to render the sequence. Trust me, I have had some experience with this ... Also, for AVI, the default standard is 15 FPS, which is just barely adequate for a smooth zoom, you will see a slite jerkiness. I have found 24 FPS is perfect, any more than that makes no significant improvement. So assume 24 FPS, then you know how many seconds your sequence will be if you know the total frame count. You can plan it out from there. JoTz

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Re: Gilles Nadeau
by JackOfTradeZ 09 Nov '05

09 Nov '05

Gilles Nadeau, Those are nice, I say NICE images! Good work !! I have been checking out the BuddaBrots for some time; Melinda Green has a nice web site on them. But I am unable so far to decipher the rendering method and figure out how to animate (zoom) them. She says it can't be done. I say NEVER SAY NEVER ! JoTz

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FOTD 08-11-05 (Marigold [6])
by Jim Muth 08 Nov '05

08 Nov '05

FOTD -- November 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: When 0.00006 part of Z^100 is added to 0.6 part of Z^2, C is added to the sum, and then the entire thing is reiterated 1,000 or so times, the result is a lopsided oval-shaped open area with an area of chaos on its western end. This chaotic area, which contains strangely shaped midgets and buds that are more reason- ably shaped, holds most of the interest in the parent fractal. Today's scene lies near the tip of the main filament extending from the most prominent bud. While searching for a name, I glanced out the window and noticed a marigold plant totally covered with late-blooming flowers. The name seemed to fit the feeling of the image, so that is what I named today's FOTD. The rating of a 6 is a little above average. I put too little effort into the coloring to rate the image higher. What we have is a tweaked random palette created by striking the 'enter' key. In this particular case, it works fairly well. The render time of 8-1/2 minutes might be considered a bit slow by those with other things to do. To speed things up, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It turned cloudy and chilly before noon here at Fractal Central on Monday. The temperature of 63F 22C held the cats' outdoor time to under an hour, but they made the most of the 50 minutes when they ganged up on an oversized black cat that intruded in the yard and put it to flight. When they came inside soon after, I rewarded them for their bravery with an extra serving of tuna. My day was about as close to average as days can come. Today is starting sunny, but it is chilly again. I don't know how the cats will feel about this, but my day promises to be moderately busy. The next FOTD will appear 24 hours from now. Until then, take care, and see through the mysteries. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Marigold { ; time=0:08:39.43--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-1.47764158015673700/-0.107961447762803\ 10/1.881266e+011/1/35/-0.0319109923078635185 params=0.6/2/0.00006/100/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000SvwRtuQrsPpqOnoNlmMjkLhiKfgJdeIcdHbcGabF\ `aE_`DZ_CZZBZYAcz7CC6AA588DJzCHuBFmAEe9CZ8AR79J67C\ nWjgSd`OZVKTOHNIDHB9BykEvhDsfDqdCnbCk`ChZBdXBbVAZT\ AXRAUO9QM9OK8LI8IG8FE7CC7AA6786dRj`PfYNbVLZRJWOHSL\ FOIDKEBHB9D879k`zjJzhIzfHydHvbGt`Gq_FoYFkWEiUDfSDc\ QC`PCYNBWLBSJAQH9NF9KE8IC8FA7D87A668upyqmunjrkgngd\ kdagaZdYW`VTYSQUONRLKNIHKEEGBBD8896O`5KU5GO5DI59CT\ izQizO_zLRzJOsHLiEI_CFQ9CG79BEe8Db7C`7CZ7BX7BU7AS7\ AQ79O78L68J67H67F66C66A6586wzEryDntCjoCfkBafAYaAUY\ 9QT9LO8frYgr_grahrcisfishjsjktlktnltqmusmuunuwnuyo\ twptupssqsqrrorrmsqktqitpgupeupdqoenofjofgogcog`oh\ YohUoiRojNojKokGokDolAolVnBXpFYqI_rL`sPbtScuVevZfw\ agxdexccxbaua`s_YnXVjUSeSPaPMXMJSJGOHDJEAFB7A8`_fZ\ YdYXbWV`VX_T_YSbWQeVPhTNkRMnQLqOJtMIwLGzJFzHDzGCzE\ AzC9zB7z96z7`zOZzNXzMWzLUzKTzJRzIQzIOzHNzGLzFKzEIz\ DHzCFzCEzBCzAJzeIzcHzaHzZ } 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 PARAMETER FILE=========================================

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Fractal web site
by David Dollevoet 08 Nov '05

08 Nov '05

Greetings, My fractal web page is updated for 2005-11. http://www.djd-fractal.com David Dollevoet

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Re: [Fractint] FOTD 07-11-05 (Fork in the Road [5])
by Jim Muth 07 Nov '05

07 Nov '05

FOTD -- November 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: This repost corrects the wrong title in the previous post. Today's image came about when I combined generous portions of Z^3 and Z^5, and added the usual 'C' to produce the parent fractal. I searched one of the less likely valleys of this parent and found a tiny point, which when blown up proved to be an entire fractal universe. Deep in this new universe I found the scene that appears as today's FOTD. It took a few minutes of contemplation before I noticed the fork- like features and decided to name the image "Fork in the Road". Since I put so little effort into the coloring, I could rate the image at only an average 5. I leave it to the individual fractal fan to decide whether it is worth the effort to devote over 13 minutes to rendering an average fractal. Those who decide it is not worth the effort may see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain held off until after dark here at Fractal Central on Sunday, while the ample sun and temperature of 77F 25C made outdoor conditions just what the fractal cats wanted. They spent the entire afternoon in the holly patch, doing little of importance. As for me, I did little of importance also. But today will be quite a bit busier. The next glorious FOTD will appear in 24 hours. Until then, take care, and things may not be as they seem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fork_in_the_Road { ; time=0:13:44.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.23837854398835790/-1.499916180033593\ 00/5.081655e+011/1/-47.5/-0.0031 params=1/3/0.6/5/\ 0/0 float=y maxiter=1500 inside=0 periodicity=10 colors=000pRoqQlqPjqPhqOeqNcqNaqMZqLXqLVqKTrJQrJOr\ IMrHJrHHrGFrFCrFArE8rE6sG7sI8tJ9tL9uMAuOBvPCvRCvSD\ wUEwWExXFxZGy_HyaHzbIzdJzeJycPxaUx`_wZdvXjvWorTpoQ\ plOpiLpfIpbGq_DqXAqU8qR5qO3qN6nN9lNCjNFhNIfNLdMOaM\ R_MUYMXWM_UMaSKcSJdSHfSGgSFhSDjSCkSBlS9nS8oS7pS5rS\ 4sS3tS6qU8nWBkXDiZGf_IcaKabNZdPWeSUgURhXOjZMk`JmcG\ neEphBqj8sl6th9teCtbFt_HtXKtUNtRPtONnMLiJJcHKZIHYJ\ HXKHWKGWLGVMGUNFTNFTOFSPERQEQQEQRDPSDOTDNTmNUmMVmL\ VmLTmOSmQQmTPmVNmYMm_KmbJmdHmfGmiEmkDmnBmpAms8mu7m\ w7mw7mx7mx7mxEmwKmwRmwXmwcmwimwgmufmtemsdmrcmqbmpa\ mo`mnZmmYmlXmkWmjVmiUmhTmgSmfRmeQmcQabQYaQU`PPZPLY\ PHXPDWQCYQC_QB`QBbQAcQAeQAgQ9hQ9jQ8kQ8mQ7nQ7pQ7rQ6\ sQ6uQ5vQ5xP6zQ5yR5xS5xT5wU4wU4vV4vW4uX4uY3tZ3tZ3s_\ 3s`2ra2rb2qc2qc2pd1pe1of1og1ng1ne4ic7da9_`CVZFQXHL\ VKGUMBUKEUIGUGJUFLUDNUBQU9SU8UU6XU4ZV0aU3`U6`T9_TB\ _TEZgXfiWgjVikUjmTknSmoRn } 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 PARAMETER FILE=========================================

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FOTD 07-11-05 (Web Works [5])
by Jim Muth 07 Nov '05

07 Nov '05

FOTD -- November 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image came about when I combined generous portions of Z^3 and Z^5, and added the usual 'C' to produce the parent fractal. I searched one of the less likely valleys of this parent and found a tiny point, which when blown up proved to be an entire fractal universe. Deep in this new universe I found the scene that appears as today's FOTD. It took a few minutes of contemplation before I noticed the fork- like features and decided to name the image "Fork in the Road". Since I put so little effort into the coloring, I could rate the image at only an average 5. I leave it to the individual fractal fan to decide whether it is worth the effort to devote over 13 minutes to rendering an average fractal. Those who decide it is not worth the effort may see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain held off until after dark here at Fractal Central on Sunday, while the ample sun and temperature of 77F 25C made outdoor conditions just what the fractal cats wanted. They spent the entire afternoon in the holly patch, doing little of importance. As for me, I did little of importance also. But today will be quite a bit busier. The next glorious FOTD will appear in 24 hours. Until then, take care, and things may not be as they seem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fork_in_the_Road { ; time=0:13:44.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.23837854398835790/-1.499916180033593\ 00/5.081655e+011/1/-47.5/-0.0031 params=1/3/0.6/5/\ 0/0 float=y maxiter=1500 inside=0 periodicity=10 colors=000pRoqQlqPjqPhqOeqNcqNaqMZqLXqLVqKTrJQrJOr\ IMrHJrHHrGFrFCrFArE8rE6sG7sI8tJ9tL9uMAuOBvPCvRCvSD\ wUEwWExXFxZGy_HyaHzbIzdJzeJycPxaUx`_wZdvXjvWorTpoQ\ plOpiLpfIpbGq_DqXAqU8qR5qO3qN6nN9lNCjNFhNIfNLdMOaM\ R_MUYMXWM_UMaSKcSJdSHfSGgSFhSDjSCkSBlS9nS8oS7pS5rS\ 4sS3tS6qU8nWBkXDiZGf_IcaKabNZdPWeSUgURhXOjZMk`JmcG\ neEphBqj8sl6th9teCtbFt_HtXKtUNtRPtONnMLiJJcHKZIHYJ\ HXKHWKGWLGVMGUNFTNFTOFSPERQEQQEQRDPSDOTDNTmNUmMVmL\ VmLTmOSmQQmTPmVNmYMm_KmbJmdHmfGmiEmkDmnBmpAms8mu7m\ w7mw7mx7mx7mxEmwKmwRmwXmwcmwimwgmufmtemsdmrcmqbmpa\ mo`mnZmmYmlXmkWmjVmiUmhTmgSmfRmeQmcQabQYaQU`PPZPLY\ PHXPDWQCYQC_QB`QBbQAcQAeQAgQ9hQ9jQ8kQ8mQ7nQ7pQ7rQ6\ sQ6uQ5vQ5xP6zQ5yR5xS5xT5wU4wU4vV4vW4uX4uY3tZ3tZ3s_\ 3s`2ra2rb2qc2qc2pd1pe1of1og1ng1ne4ic7da9_`CVZFQXHL\ VKGUMBUKEUIGUGJUFLUDNUBQU9SU8UU6XU4ZV0aU3`U6`T9_TB\ _TEZgXfiWgjVikUjmTknSmoRn } 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 PARAMETER FILE=========================================

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Paul N Lee's FOTD web site
by Barry Smith 07 Nov '05

07 Nov '05

On Friday and again yesterday (Sunday) - Australian Eastern DaylightbSaving Time I was told that th main index page for Jim Muth's FOTD could not be found , but I could get the page above it (~Paul N. Lee). I never had this problem before._ _ <http://home.att.net/%7EPaul.N.Lee/FotD/FotD.html> -------------------- Barry W Smith P O Box 442, Jamison Centre ACT 2614, Australia Tel. (Home & answering machine) (02) 6251 2119 International +61 2 6251 2119 e-mail: bsmith(a)cyberone.com.au

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FOTD 06-10-05 (Web Works [6])
by Jim Muth 06 Nov '05

06 Nov '05

FOTD -- November 06, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal discussion is brief because most of my energy went into writing the philosophical part of the philofractal version. The parent fractal of today's image came about when I combined the Mandelbrot set with 0.006 parts of Z^(-2). The result is a vague outline of the M-set filled with debris. Today's scene lies in what once was East Valley of the large midget at -1.75 on the X-axis. I have no idea why I named the image "Web Works". Most likely the filaments reminded me of a spider's web. The rating of a 6 means I consider the image a bit better than usual. The render time of 7-1/2 minutes means it will be slightly more efficient to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> At this point the philosophy appears in the philofractal version of this discussion. On a more earthly note, yes the fractal cats are real. They most definitely are not a fictional invention of my imagination. I have every intention of taking their pictures and having them posted on the FOTD web site. It certainly will be done before I move from Baltimore. The problem is that my old film camera no longer works and I have no other reason to go out shopping and comparing new-fangled digital cameras before purchasing one. I used to do much photographic work, and I want a camera that will take top-quality photographs. With warm sun and a temperature of 75F 24C, Saturday was like a return to summer here at Fractal Central. The fractal cats made the most of things by passing the entire afternoon lurking in the holly patch. My day was busier than usual, but not excessively so. Today is starting even warmer but with more clouds. If the rain holds off, it will be another good day. The next FOTD will appear in 24 hours. Until then, take care, and must all design be intelligent. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Web_Works { ; time=0:07:33.90--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.46543675784757600/+0.000001599029672\ 24/4.670224e+009/1/-82.5/0.00135869043112195331 params=0.006/-2/1/2/0/0 float=y maxiter=1250 inside=0 logmap=155 periodicity=10 colors=0000Vz0Tz0Rz0Pz1Oy2My3Kx4Iv55t59q6El6Jf7Oa8\ TX8YR9bMAhGDhIGgLJgNMfQPfTSeVVeYYd`Zad_Zh`VlbVfzi`\ zgVzeOvaIuZCtW5rS6rO7rK8rD9r7Bi8B`AASB9JD8AE70G60E\ 80BB19E16H14K21NB2PL4RV6Ud8WnAZgK``VbUedMpfPodSnbV\ j`YhZ`ZXcYVcZTccQbiNbnKcsHmvEwzBzuGmoLdiQedVfZ_hTd\ VSaHQZ0Mh3Mh6MgAMfDMeHMdKMcONbRMYUKTXIO_GJbEEeC9hA\ 4gD8fHCeKGdOKcSP`gMXwIXqSWkaWekVZvU`pSbiQdbPfWNhPL\ jIJlBZWQnFdkHagKYcNV_QReYQkfOqnMxwKiaBVG2XH7ZJD`LJ\ cNPeOUgQ_iSelUkaO7lV4wa1wa7xaDxaJyaPyaVza`idWSgRAj\ LJqG_qOppXkmYfj_`gaWcbQ`dLYfFUhGSeIQaJOYLMUMKROINP\ GJREFTJJVPOYUT__Xbdadjfgpkepjcpi`pgZpfWpdUpcRpaSp`\ Tp_UpZWpXXpWYpVZpU`qSxJgaaiEtkUieiY_zMUnRKbXAQb0JQ\ EBDTHIUOOWUTX`ZZfd_miasobzudqjhghmZmrPrwGvyJzyNzyR\ zxVzxYzxazwezwizvizkjz`jzQkzEXzNHzXOzXVzWazVhzUozT\ vzSmzOdzJWzELzY9zr9zo9zl9zi9zf9zc9z`9zXCzUGzQKzMOz\ IRzFVzBZz7bz3ez7hzBlzGozK } 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 PARAMETER FILE=========================================

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Triternions Ikenaga and Lambda
by gilles nadeau 06 Nov '05

06 Nov '05

Hello all, I am new on this list but I use Fractint since 1994. I have difficulty in include/understand English and I use a translator. I would like to propose two new models of "Triternion". T_Ikenaga and T_Lambda. The formulas triternion are mysterious. I read that those would be 6-d. I am not a mathematician and I does not know exactly what that means. Here two formulas. Gilles Nadeau T_Ikenaga-XZ {; 6-dimensional M-Set ; based on formulae by Russell Walsmith ; Gilles Nadeau, March, 2005 ; x=y=t=u=v=w=0 cx=real(pixel) cy=real(p1) ct=imag(pixel) cu=imag(p1) cv=real(p2) cw=imag(p2) : tx= x^3+t^3+v^3-3*(x*y^2+t*u^2+v*w^2)+6*(x*t*v-x*u*w-y*u*v-y*t*w) ty=-y^3-u^3-w^3+3*(y*x^2+u*t^2+w*v^2)+6*(y*v*t-y*w*u+x*w*t+x*v*u) tt= 3*(t*x^2-t*y^2+v*t^2-v*u^2+x*v^2-x*w^2)-6*(t*u*w+x*y*u+y*v*w) tu= 3*(u*x^2-u*y^2+w*t^2-w*u^2+y*v^2-y*w^2)+6*(x*v*w+x*y*t+t*u*v) tv= 3*(v*x^2-v*y^2+x*t^2-x*u^2+t*v^2-t*w^2)-6*(u*v*w+x*y*w+y*t*u) tw= 3*(w*x^2-w*y^2+y*t^2-y*u^2+u*v^2-u*w^2)+6*(t*v*w+x*y*v+x*t*u) dx=cx*x-cy*y+cv*t-cw*u+ct*v-cu*w dy=cy*x+cx*y+cw*t+cv*u+cu*v+ct*w dt=ct*x-cu*y+cx*t-cy*u+cv*v-cw*w du=cu*x+ct*y+cy*t+cx*u+cw*v+cv*w dv=cv*x-cw*y+ct*t-cu*u+cx*v-cy*w dw=cw*x+cv*y+cu*t+ct*u+cy*v+cx*w x=tx+dx-x-cx y=ty+dy-y-cy t=tt+dt-t-ct u=tu+du-u-cu v=tv+dv-v-cv w=tw+dw-w-cw z=x+flip(t) z2=y+flip(u) z3=v+flip(w) |z|+|z2|+|z3|<=64 } T_Lambda-XZ {; 6-dimensional M-Set ; based on formulae by Russell Walsmith ; Gilles Nadeau, March, 2005 ; x=0.5 y=t=u=v=w=0 cx=real(pixel) cy=real(p1) ct=imag(pixel) cu=imag(p1) cv=real(p2) cw=imag(p2) : tx=x*x-y*y+v*t-w*u+t*v-u*w ty=y*x+x*y+w*t+v*u+u*v+t*w tt=t*x-u*y+x*t-y*u+v*v-w*w tu=u*x+t*y+y*t+x*u+w*v+v*w tv=v*x-w*y+t*t-u*u+x*v-y*w tw=w*x+v*y+u*t+t*u+y*v+x*w dx=x-tx dy=y-ty dt=t-tt du=u-tu dv=v-tv dw=w-tw x=cx*dx-cy*dy+cv*dt-cw*du+ct*dv-cu*dw y=cy*dx+cx*dy+cw*dt+cv*du+cu*dv+ct*dw t=ct*dx-cu*dy+cx*dt-cy*du+cv*dv-cw*dw u=cu*dx+ct*dy+cy*dt+cx*du+cw*dv+cv*dw v=cv*dx-cw*dy+ct*dt-cu*du+cx*dv-cy*dw w=cw*dx+cv*dy+cu*dt+ct*du+cy*dv+cx*dw z=x+flip(t) z2=y+flip(u) z3=v+flip(w) |z|+|z2|+|z3|<=128 }

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FOTD 05-10-05 (Julia Variation-9 [5])
by Jim Muth 05 Nov '05

05 Nov '05

FOTD -- November 05, 2004 (Rating 5) Fractal visionaries and enthusiasts: A rather busy day on Friday left little time for fractaling, but I did manage to find one image that I consider worthwhile. That image appears as today's FOTD. To create the image, I returned to the JuliaBC formula. The Julia set I found is related to the Z^(1.5)+C Mandeloid as it appears 23 levels up the logarithmic spiral. The 'Seahorse Valley' effect indicates that the Julia set corresponds to a prominent valley area of the Mandeloid. I studied the image for several minutes before coming to the conclusion that it is just another Julia set. I named it "Julia Variation-9" as a continuation of the previous series, and rated it at a 5. The 1-1/2 minute render time is fast enough that little time will have been wasted if the image disappoints its viewers. The easiest way of all to view the image is to down- load it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where, if all goes well, it will be found posted. Well, I have hinted as much in past discussions, but now it is certain. Within a few months, how many I am not sure, (8 is a good guess), Fractal Central and its associated graphic design business will be moving from Baltimore, its present location, to a new location in central Pennsylvania. More details will be known as the time grows closer. Hopefully, the move will be accomplished with as few interruptions in the FOTD as possible. But until we are settled in the new F.C., things will be a bit hectic and the FOTD schedule might become a bit irregular. The fractal cats might or might not move with us to the new Fractal Central. Moving would be hard on them. They are 15 years old and quite settled in their present location. Since my sister will be moving into the old F.C. when fractal lady and I move out, we very possibly may leave Thomas and Tippy to finish their lives in the only home they have ever known. But this means we will find two new fractal cats to occupy the new Fractal Central, so stay tuned for further cat developments. Partly cloudy skies, gentle winds and a high temperature of 68F 20C here at Fractal Central on Friday proved satisfactory for the fractal cats, who were in the yard from noon until 5pm, doing little but sleeping. For me things were a little busier than expected, but by the end of the day everything that needed to be done was out of the way. Today is starting the same, which will likely lead to the same results. The next FOTD will appear in 24 hours. Until then, take care, and keep looking up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-9 { ; time=0:01:33.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=0.237872/-0.157428/\ 0.9363296 params=1.5/0/23/0/0.75/-0.083/0/0 float=y maxiter=1250 inside=0 logmap=yes periodicity=10 colors=0000KK0LK0MK0NK0OK0PK0QK5RKASKFTKKUKPVKUWJZ\ XIcYHjZGs_GriIvsKtqJroIpmHokGmiFkhEifDhdCfbBd`AbZ9\ aY8UY7MY7FY67Y60Y62W74V76U78T8AS8CR8EQ9GP9IO9KNAMM\ AOLAQKBSJBTIBWLAYN9_P8aR7cT6eW5gY4i_3ka2mc1oe0pc5q\ bAqaFr_KsZPsYUtWZuVcuUhvSmwRrwQwvPwuPwtPwtPwsPwrPw\ qPwqPwjMrdJmZHhYGeXGbWF`VFYVEVUETTDQSDNRCLRCIQBFPB\ DOAANA7NA5P97R98S89U8AV7BX7CZ6D_9FaCGbFHdIIfLJgOKi\ RLjUMkXRl_Wlb_medmhhnkmnnqoqvotzUwv9zs8yq8xo8wm7vk\ 7ui7tg6se6rd6qb5p`5oZ5nX4mV4lT4lS7kT9jTBiUDhUGgVIf\ VKeWMdWPcXRbXTaYVaY`VbfOflHjrAnx4rr5ol5mg5ja5hW5eR\ 5cL5`F5ZA5XH6WN6VT6UZ6Td6Sj6RhAQfEQdIQbMQ`PQZTQYXQ\ W`QUdQSgQQkQOoQMsQLvQFmUAdY5Wa0Od7QZESULUPSVKZXFeZ\ Ak_5hY9fWDdUGaTK_ROYPRVNVTMZRKaOIeMGiKFlJEjIDiHDgG\ CfFCeEBcDAbDA`C9_B9ZA8X97W87U76T76SF8ZMAeLBdKCdJCc\ IDcHEbGEbFFaEFaDG`CH`BH_AI_9JZ8IZ7HY7GYAFXDEWGDWJC\ VMBVPAUS9TU8TH7ZF6YD5XB4W } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction
by Russell Walsmith 05 Nov '05

05 Nov '05

Gerald, An amazing image... Hell of a job! It'll probably take me a while to fathom the mechanisms you employ in your formula to accomplish this. Could you say a few words about the theory involved? It's been about three years since we began to explore the 'T-set' idea on this list, and it comes to a fascinating fruition in Fractint at last. Ever since Paul Bourke's POVray renditions, I've had some variants on this 3-D M-set in mind, and I've included a par file of the complementary 'C-set' below. Some 2-D renderings of this object are facilitated by a simple toggle in certain M-set formulas. E.g., MsetCset1 {;toggle fn1 between 'ident' and 'conj' z=0, c=(pixel): z=fn1(z^2+c) z < 4 } MsetCset2 {;toggle p1 between '1' and '-1' x=real(pixel),y=imag(pixel) x1=y1=0: a=x1^2-y1^2 b=p1*(2*x1*y1) x1=a+x,y1=b+y z=x1^2+y1^2 z < 4 } To get this effect in the 'T-set_in_3d' formula, I changed the line 'x1 = a + cx, y1 = b + cy, z1 = c + cz' to read 'x1 = c + cx, y1 = b + cy, z1 = a + cz'. Any two-element transposition of a b c gives the same effect, just different orientations. Thanks again for your innovations. Ciao, Russell ---------------------------- Parameters below ------------------------------ C-set_in_3d {;Greyscale depth image ; reset=2004 type=formula formulafile=test.frm formulaname=3d_C-set passes=g center-mag=-0.68046/-0.24858/0.9363296 params=0/0/-0.75/0.75/0/0/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvuuuu\ utuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpoooo\ onooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikjiiii\ ihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedcccc\ cbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZYYYY\ YXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTSSSS\ SRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONMMMM\ MLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHGGGG\ GFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBAAAA\ A9AAA9BA9999989998A98888878887987777767776876666656665765555545554654444\ 4344435433333233324322222122213211111011102100000000PPP } frm:3d_C-set {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: x1(0) ;p3imag: y1(0) ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = real(p3) y1 = imag(p3) z1 = real(p4) j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = c + cx, y1 = b + cy, z1 = a + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = real(p3), y1 = imag(p3), z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ---------------------------- End of parameters ----------------------------- ----- Original Message ----- From: "Gerald K. Dobiasovsky" <gerald.dob(a)aon.at> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: [Fractint] Re: quaternion product correction Date: Thu, 3 Nov 2005 02:45:56 +0100 > > > [Russell Walsmith, regarding Triternions and the rendereing thereof] > > Paul Bourke's rendering seems to use some density cloud function (probably > the number of iterations accumulated while stepping along the > line-of-sight for each pixel), so the object's outside is structured > as well. > > All I can offer for the moment is a greyscale depth rendering similar to > Fractint's Julibrot type (that is, the object is solid and the surrounding > space is transparent). > > You can achieve a kind of outside density rendering by switching from > outside=summ to outside=iter, but the colors will wrap around many times, > which really doesn't look good. > > Gerald > > ---------------------------- Parameters below ------------------------------ > > T-set_in_3d {;Greyscale depth image > ; > reset=2004 type=formula formulafile=test.frm > formulaname=Rot3d_T-set passes=g > center-mag=-0.68046/-0.24858/0.9363296 > params=0/0/-0.75/0.75/0/0/0/4/150/253 float=y maxiter=2000000000 > outside=summ periodicity=0 > colors=000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvuuuu\ > utuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpoooo\ > onooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikjiiii\ > ihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedcccc\ > cbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZYYYY\ > YXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTSSSS\ > SRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONMMMM\ > MLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHGGGG\ > GFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBAAAA\ > A9AAA9BA9999989998A98888878887987777767776876666656665765555545554654444\ > 4344435433333233324322222122213211111011102100000000PPP > } > > frm:Rot3d_T-set {;periodicity=no, outside=summ > ;maxit > p5real*(p5imag+1) > ;-------------------------------------------- > ;p1real: Rotation about x-axis (1st rotation) > ;p1imag: Rotation about y-axis (2nd rotation) > ;p2real: Far clipping plane > ;p2imag: Near clipping plane > ;p3real: x1(0) > ;p3imag: y1(0) > ;p4real: z1(0) > ;p4imag: Bailout > ;p5real: Maxiter per slice > ;p5imag: Number of slices - 1 > ;-------------------------------------------- > ; > bailout = imag(p4), tiefnum = imag(p5) > delta = (real(p2)-imag(p2))/tiefnum > tmp = pi/180 > rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) > ; > HPixXY = rotYax > VPixZ = real(rotXax) > VPixXY = flip(conj(rotYax)) > NXY = VPixZ*VPixXY > NZ = imag(conj(rotXax)) > VPixXY = -NZ*VPixXY > ; > tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) > cx = cx0 = real(tmp), cy = cy0 = imag(tmp) > cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 > tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) > dcz = NZ*delta > x1 = real(p3) > y1 = imag(p3) > z1 = real(p4) > j = m = i = 0: > a = sqr(x1) + 2*y1*z1 > b = sqr(z1) + 2*x1*y1 > c = sqr(y1) + 2*x1*z1 > x1 = a + cx, y1 = b + cy, z1 = c + cz > IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) > i = i + 1 > ELSE > i = 0 > m = m + 1 > cx = cx0 = cx0 + dcx > cy = cy0 = cy0 + dcy > cz = cz0 = cz0 + dcz > x1 = real(p3), y1 = imag(p3), z1 = real(p4) > ENDIF > z = m - j > j = j + 1 > tiefnum >= m && p5 >= i > } > > ---------------------------- End of parameters ----------------------------- > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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(Fractint) Paul Lee's web site
by Barry Smith 05 Nov '05

05 Nov '05

Has Paul's site been down for a few days? I don't mind rendering for just a few minutes, but .... -------------------- Barry W Smith P O Box 442, Jamison Centre ACT 2614, Australia Tel. (Home & answering machine) (02) 6251 2119 International +61 2 6251 2119 e-mail: bsmith(a)cyberone.com.au

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Re: [Fractint] (Fractint) Paul Lee's web site
by nick.grasso＠nasrecruitment.com 04 Nov '05

04 Nov '05

Barry Smith wrote: >>>Has Paul's site been down for a few days? I don't mind rendering for just a few minutes, but ....<<< Works fine for me, although it looks like fractals for Nov. 3 or Nov. 4 haven't been posted yet. Nick

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FOTD 04-10-05 (Inner Viol [6])
by Jim Muth 04 Nov '05

04 Nov '05

FOTD -- November 04, 2005 (Rating 6) Fractal visionaries and enthusiasts: Yesterday's discussion was brief indeed. But there is no need for alarm. I am not running out of ideas, nor am I growing bored with fractals. The unexciting explanation is that there was a power glitch just as I had finished the regular longer discussion. The glitch caused my tired old computer to recycle before I had a chance to save the discussion that I had just finished. With a sizable job waiting I had no time to rewrite the FOTD. As a result I got mad and took about two minutes to gather the parameter info and write a brief discussion outline. The main point of the lost discussion led from the magnified difference between very close exponents of Z in the range of 0.6, to the existence of unanswerable questions of life. Unfor- tunately, I do not recall most of what I wrote, but there were no earth-shaking new philosophical insights included. As for today's fractal, it is a scene in the western extremity of yesterday's fractal, which is the parent fractal of today's image. The name "Inner Viol" indicates that yesterday's image is shaped somewhat like an ancient stringed instrument. The unusually intricate pattern of filaments in today's image raises the rating to a little-above-average 6. The render time of 7-1/2 minutes means that not too much time will have been wasted if the image proves disappointing. And for those whose new-fangled computers are allergic to Fractint, the completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Blue skies streaked with angel-hair cirrus and a temperature of 66F 19C made outdoor conditions near perfect here at Fractal Central on Thursday. The cats approved heartily and spent the afternoon taking it easy in the holly thicket. Today is starting sunny and even warmer. The duo will rejoice. And all fractal fans will rejoice when the next FOTD appears in 24 hours. Until then, take care, and look to the fractal side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inner_Viol { ; time=0:07:29.79--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.74977525674683410/+0.360637169020974\ 40/5.954354e+010/1/-5.00148649754509389/0.00723513\ 747033688315 params=100/0.6/-100/0.61/0/300 float=y maxiter=950 inside=0 logmap=156 periodicity=10 colors=000M6IK6HJ6GI6FH6EJ8DKADMBDNDCPFCQGCRIBTKBU\ LBWNAXPAZQA_S9`T9bV9cX8eY8f_8ha7ib7jd7lf6mg6oi6pk5\ rl5sm5tn5rm7rl9okBljCjiEghGegHceJadL_cMYbOWaQU`SS_\ TQZUOWVMUVKSVIQVGOVENWCMX3KZALYGLXNJUTPT_ISfNQlHNr\ GLzFKzHJzIKyKLxLMwNMvONuQOtRPtTPsUQsWRrXSrYSr_Tq`U\ qbVpccremtfwvhzxmzzwzzzzzzzxszvpztn`rl_pkZniYohXof\ XoeWocVpbUp`TpZSpYSqWRqVQqTPqSOrQNrPNrNMrLLsKKsIJs\ HIsFItEHtCGtBFt9Ev19t8ErFJpMOnSTlZYjebikghhehfcgda\ gb`f`ZfZXeXVeVUdTSdRQdPOcNNcLLbJJbHHaFGaDE`BC`9A`7\ 9b8Ad8Af9Bg9BiABkAClBCnBDpCDqCDsDEuDExACvDEuFGtIIs\ KKrMLqPNpRPoURnWTmYUk`WjbYie_hgagibfldenfdqhcsj`yj\ bukdqkemkgikiekjaklYknUkoQkqMksIktEkvAkx6ky3knCicL\ hSUhTTgTTgTTgUSgUSgUSgVRgVSgVUgVWgWYgWZgW_fX`fXafX\ bfXcfYcfYcfYcfZdfZefZffZgfWhcUi_RkXPmTNoQLqSJsUHuW\ FwYEx_QzRazIlz9IzEKzILzLMzOUzRWzVczYkz`nzcpzftzgoz\ hoziizjizkdzlczmZznZzoTzp } 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 PARAMETER FILE=========================================

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FOTD 03-10-05 (Viol [6])
by Jim Muth 04 Nov '05

04 Nov '05

FOTD -- November 03, 2005 (Rating 6) Fractal visionaries and enthusiasts: To be brief: Today's fractal is named "Viol". It rates a 6. It renders in 28 seconds. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday was a perfect day for the cats. The next FOTD arrives in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Viol { ; time=0:00:28.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=7.26135/0/0.136612 params=100/0.6/-100/0.61/0/300 float=y maxiter=500 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=000M6IK6HJ6GI6FH6EJ8DKADMBDNDCPFCQGCRIBTKBU\ LBWNAXPAZQA_S9`T9bV9cX8eY8f_8ha7ib7jd7lf6mg6oi6pk5\ rl5sn5tn5qm7ol9mkBkjCiiEghGegHceJadL_cMYbOWaQU`SS_\ TQZVOXXMWYKV_IUaGTbESdCRf3PkAQgGQfNNaTSY_KVfPSlHOr\ GLxFIwHJwIKvKLvLMuNMuONuQOtRPtTPsUQsWRrXSrYSr_Tq`U\ qbVpcWpeWofXohYoiZnkZnl_mn`moampann`nl_nkZniYohXof\ XoeWocVpbUp`TpZSpYSqWRqVQqTPqSOrQNrPNrNMrLLsKKsIJs\ HIsFItEHtCGtBFt9Ev19t8ErFJpMOnSTlZYjebikghhehfcgda\ gb`f`ZfZXeXVeVUdTSdRQdPOcNNcLLbJJbHHaFGaDE`BC`9A`7\ 9b8Ad8Af9Bg9BiABkAClBCnBDpCDqCDsDEuDExACvDEuFGtIIs\ KKrMLqPNpRPoURnWTmYUk`WjbYie_hgagibfldenfdqhcsj`yj\ bukdqkemkgikiekjaklYknUkoQkqMksIktEkvAkx6ky3knCicL\ hSUhTTgTTgTTgUSgUSgUSgVRgVRgVRgVRgWQgWQgWQfXPfXPfX\ PfXPfYOfYOfYOfZNfZNfZNfZNfWOcUP_RQXPRTNSQLUSJWUHYW\ F_YE`_QhRapIlx9ILEKMILQLMUOUYRWaVceYki`nhcpmftjgoi\ hofiicji`kdYlcUmZRnZOoTLp } 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 PARAMETER FILE=========================================

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Re: [Fractint] quaternion product correction
by Russell Walsmith 03 Nov '05

03 Nov '05

Tim, Your mention of POVRay (below) inspires me to inquire if Fractint can be enabled to provide the kind of looks at 3D objects such as are seen in this 'T-set' video at http://ixitol.com/html/videos.html This object, rendered in POVRay, is generated by the formula T-set { x=real(pixel), y=imag(pixel), v=p1 x1=y1=v1=0: a = x1^2 + 2*y1*v1 b = v1^2 + 2*x1*y1 c = y1^2 + 2*x1*v1 x1 = a+x, y1 = b+y, v1 = c+v z = x1^2 + y1^2 + v1^2 z < 100 } Perhaps it is a function of my still limited familiarity with Fractint, but thus far only 2D slices of this object have rendered therein, and those views only in planes perpendicular to one of the three axes. Does Fractint offer functionalities in this respect of which I am yet unaware? If not, would it be possible perhaps to port over some of the pertinent POVRay code? It would be awesome if this kind of 3D imaging were possible "in house". Ciao, Russell ----- Original Message ----- From: "Tim Wegner" <twegner(a)swbell.net> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] quaternion product correction Date: Tue, 25 Oct 2005 21:13:27 -0600 > > More concerning my correspondence with Wes Loewer. > > One of the things that attracted me to Hypercomplex numbers was that > there is a general way to calculate a function on the hypercomplex > numbers from the analogous complex function. Wes showed me how to do > the same thing with quaternions. It isn't quite as elegant, but it's > not hard. This means I could add fractal types quaternion and > quaternionj that are exact analogues (with equal generality) of the > hypercomplex and hypercomplexj types. (These are general because they > use a function variable that can be set to a variety of analytic > functions.) There are some quaternion types already in fractint but > they are less general. > > I guess I should check out POVray also for the same generalization > possibility. > > I'm enjoying the possibility of this project since I haven't > contributed any code to fractint for a long time. Jonathan has been > holding down the fort by himself. > > Tim > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 02-10-05 (Diced Midget [5])
by Jim Muth 02 Nov '05

02 Nov '05

FOTD -- November 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: It looks like a very busy day coming up here at F.C., so today's discussion will be short, to the point, and perhaps a bit too intuitive. For today's image I returned to the workhorse MandelbrotMix4 formula, which has been almost totally ignored during the past month. Exponents of Z between zero and one do not usually make fractals, but when the difference between two exponents in this range is magnified, as it is in today's formula, a fractal surprisingly results. Today's image is based on the tiny difference between the square root of Z, which is Z^0.5, and Z^0.5001. It reminds me of diced vegetables, so I named it "Diced Midget". The wildly clashing colors might work well as party decorations, but they do not make a great fractal. As a result, I could rate today's image no higher than a 5. The surprising thing about differences between exponents of Z in the range between 0 and 1 is that, like negative exponents, they produce fractals that are sensitive to changes in the bailout radius. If the bailout (imag[p3]+100) of today's image is raised, the image soon breaks apart and evaporates. But unlike the fractals that result from negative exponents, the empty 'inside' area that is left over from images such as today's has little of interest that might be revealed by an inside fill such as 'bof61'. Hopefully, the preceding analysis is reasonably correct, with the rush that is expected, I wrote it without checking. One thing certain however is that the image takes almost 29 minutes to render on my machine. But this render time may be avoided by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very pleasant day on Tuesday here at Fractal Central left the cats satisfied. They enjoted themselves in the holly patch until sunset, which is just after 5pm at this time of year. My day was reasonably satisfactory. Today is starting sunny and only slightly chilly. Until the next FOTD, which will appear in 24 hours, take care, and look for light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Diced_Midget { ; time=0:28:51.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+5.91382457401014100/+2.748610007654852\ 00/343217.3/1/-172.5/8.37328130443015795e-009 params=10/0.5/-10/0.5001/1150/25 float=y maxiter=7500 inside=0 outside=summ periodicity=10 colors=000Q_ePUbOP`NKYIiYKZXLPWHW4IT9JQEKNILKNMHSa\ dVYZWVUWSPWPKW4SNANQGJTcL1B3DE9GHEIKJKNOMQTPTYRWbT\ YgV5fEChJJiOQkTXlYcnbjogpplkihfbeaWaXPZSIWQXjPUgOR\ eOPcNMaNK_MHYMgSMcTM_TMXUMTUMPVMMVMIWQW6PTAPRDOPGO\ NJNLNNJQMHTQA2PCAODHNEPtPHoNJkMLfLNbKPZIRUHTQGVAQL\ DNOFLQIJSKHUKh2Lb8LXEMRKMLQMQvOnvNbmMRdnVP_NTOycNs\ bNmaNg`Na_MWZMQYMKXW3BT6HR9MOCR2nC5iF7eHA`KCXMFSPH\ ORKJUNWuMTqMRmMOiMMfMJbMHZ2Yh6Ue9RcCOaGL_JIYUC_SDZ\ RDYQEYOEXNFWEghFcfG_dHXcITaJP_KMZLIXBT4DQ9FOEHMIJJ\ NLHSMcCMZGMUKMPOMKSYzeWscUlbSe`RZ_PSYNLXTRDPLNe2px\ l6ncDdWJVNQV1oFzOJbSE4qG7lI9hJBcLD_wEGjFMYFRWhxRUi\ vjhlbdcVaVNZ4pL7iNAcPDYRGRTJLVgKIaIMXHPRGT5`U8XVBT\ VEQVHMWKIWdoQ`hRYbSVXTSRUPLV8WqATmCRjEOgGMdIJaKHZl\ oScbUVRVolAieFcZJYSOSLS7UFARICPKENNGLPIJSKHUwWKrTM\ mRNhPPdNQ_LSVJTQHVlMUhLVdKV`JVXIWTHWPGWNJzMHoMGe_X\ RXUSVRTTOUQLVOIWUomSijRdg } 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 PARAMETER FILE=========================================

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FOTD 01-10-05 (Diamond in the Rough [5)
by Jim Muth 02 Nov '05

02 Nov '05

FOTD -- November 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows a squared Mandelbrot midget. Yes, I know that the Mandelbrot set results from squaring Z, but today's unlikely formula squares the entire Mandelbrot set. More correctly, the formula scrunches and stretches the set. And it changes the entire set into a diamond shape, along with its midgets. It wreaks total havoc with the normally placid iteration bands. Today's image shows one of the midgets deep in East Valley of the large midget on the negative stem of the parent M-set, which itself has been changed into a diamond. To add a bit of depth, I rendered the image with the outside set to 'tdis'. As for the formula itself. It was not written by me, and I have no idea what the original author was trying to do. I named the image "Diamond in the Rough", and rated it at an average 5. I could not rate it higher because too little effort was put into adding diamond-like sparkle. The name is a bit misleading, as diamonds in the rough have an irregular shape. They do not take on the typical diamond shape until they have been carefully cut by a master craftsman, which is one reason why they are so costly. The fractal diamond's almost non-existent sparkle may be seen by running the attached parameter file and waiting a few minutes, or by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sunny 73F 23C weather on Monday was perfectly perfect here at Fractal Central. The cats were near perfectly happy. I cannot claim absolute happiness for the cats because who knows what goes on in a cat's mind. But with the work under control, my day was satisfactory. Today is starting the same as yester- day. I expect good things. Until tomorrow, when the next FOTD appears, take care. The Halloween hauntings have ended; the saints have arrived. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DiamondInTheRough { ; time=0:08:47.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=C4G passes=1 center-mag=-1.74996259251\ 672100/0/7.855169e+008/0.7484 params=1/0.8 float=y maxiter=16000 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000Lj`Ji_IhYHgWFfVEeTCdRBcPAbO8aM7`K6_J4ZH3\ YF2YE4XF6XG7WG9WHAVHCVIDVIFUJGUJITKKTLLSLNSMOSMQRN\ RRNTQOUQOWQPWPPXPQZORYORZNSYNSZNTYMT_MU`LUbLVcKWcL\ VbMUaNT_NSZORYPRWQQXQPYROYSNYTMYTMYULWVKWVJVWITXHS\ YHRYGQZFO_EN`DM`CKaCJbBIcAGc9Fd8Ee7Cf5De7Ed8FcAGbB\ HaCH`EI_FJZGKYILXJLXKMWMNVNOUOPTQPSRQRSRQUXmLVlKUk\ KTjKRiKQhJPgJOfJMeJLdJKcIIbIHaIG`IF`II_JK_JN_JP_KS\ _KU_KW_KZZL`ZLcZLeZMhZMjZMlZMAKS9JR9IR8IQ7HQ7GP6GP\ 5FO5EO4EN3DN2EM3DN3CN3CN3BO3BO4AO4AP49P49P48Q58Q57\ Q57R56R56R65S65S64S64T63T63TA5UD7UG8UJAUMCUPDUSFVV\ GVYIV`KVcLVfNVgOViOVVTBUWETYHS_KScLRaMQ_NPYOOXPNVQ\ NTQMRRLQSKOTJMUIKVMEUIJVEOWATX3_V7XYBU_FSbJPdNNgRK\ iVHkZFnbCpfAsj7uo4yn5wm5ul6sl6qk7pj7ni8li8jh9hg9gf\ AefAceBadB_cCZcCXbDVaDT`ER`EQ_FOZFMYGKYGKYGJZJMZMP\ ZPRZSUZVW__Z_da_hc_mf_rh`vkmzzmyzmxzmwzhvwcutZtqXs\ pWrnUqlTpkSoiQngPmeNldMkb } frm:C4G {; p1 is (plus or minus) 1 or i x=real(pixel), y=imag(pixel)*p1 a=b=0: a1 = a^2-p1^2*b^2 b1 = 2*a*b a=a1+x, b=b1+y z = sqrt(a^2 + b^2) z < 4 } END PARAMETER FILE=========================================

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Fractint Mail List?
by Vortex Swirling 31 Oct '05

31 Oct '05

Distribution seems to be working, but if you try the link to the archives it still is page not found. I guess they are doing work on it as they say. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.1.361 / Virus Database: 267.12.5/149 - Release Date: 10/25/2005 -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.361 / Virus Database: 267.12.5/149 - Release Date: 10/25/2005

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FOTD 31-10-05 (Julia Variation-8 [5)
by Jim Muth 31 Oct '05

31 Oct '05

FOTD -- October 31, 2005 (Rating 5) Fractal visionaries and enthusiasts: It's Halloween here at Fractal Central, the day when ghosts come alive. Of course ghosts can not come alive. They are firmly dead. Skeptics who have never seen a ghost do not believe in them. They know that ghosts are entertaining figments of the imagination. Those who have seen a ghost do not need to believe. They know that ghosts do exist. Those who watch all the TV reality shows about hauntings don't know what to believe. My own opinion is that where there is such a widespread belief in ghosts, there must be something other than the currently understood and accepted psychological phenomena involved. This might or might not be actual disembodied spirits. And after today's image we might have a few more believers, for a kind of toy vampire-like ghost lies spreading its cape near the center of the scene. It is the blackest part of the fractal, and decorated by a pair of greenish, demon-like eyes. The image shows a Julia set of the Z^(1.618)+C Mandeloid as it appears 16 levels down the hyperspiral. The image consists partly of normal outside stuff and partly of inside stuff made more interesting by the 'bof61' inside fill. Unable to decide whether I like the image, I have rated it at a 5. The render time of 1-3/4 minutes is fast enough for all but the most impatient. The impatient can find relief for their impatience on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Warm sun, gentle breezes and a temperature of 66F 19C made the cats' day quite enjoyable here at Fractal Central on Sunday. They spent the entire afternoon lurking in the holly bushes, watching for something that never came. My day was reasonably good. Today is starting sunny and chilly, but another quick warm-up is expected. Until the next FOTD appears in 24 hours, take care, and fractals are good for the spirit. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-8 { ; time=0:01:43.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=0.0839311/0.0751566\ /0.9861933 params=1.618034/0/-16/0/0.0151917/-0.17\ 77604/0/0 float=y maxiter=255 inside=bof61 periodicity=10 colors=000KDg000QDITDHWHGZLFaOEdSDhWCiZCkXFiVIhTLg\ SOfQReOUdNXcL_aJb`He_GhZEkYCnXBqW9tV7wU6yS5xR5wP4v\ O4uM4tL3sJ3rI2qG2pF2oD1nC1mA0l90k80jMDi_Qimain`jn_\ kn_loZmoZnoYopXppXppWqqWrqVsqUtrUurTvrTvqSwpSwpRwo\ RxnRxnQxmQymPylPykPzkOzjOzjOzgPyePxcQxaQw_RvYRvWRu\ UStSStQTsOTsMTrKUqIUqGVpEVoCVoAWn8Wm6Xm4Xl2XlLURNW\ SOXTQZUR_VS`WVZXXYXZXY`WYcUYeTZgSZiR_lP_nO_pN`rM`t\ L`pOZlQXhSVdVU`XSXZQT`PUYQUWRVUSVRSWPTWNUXKUXIVYGW\ YEXZBXZ9Y_7Z_4Z`2_`0``0`i8iqHroKmmNilPejS`iUXgXTfZ\ PgWQhUQiSQjQQkNRlLRmJRnHRoFRe_HXs8VpETnJRlOPiUNgZL\ ecJchH`nFZsDXxBVzDXzEYyGZxH_vJauKbsMcrNdpPfoQgmShl\ TijUjiVigVifVhdWhcWgaWg`WgZXfYXfWXeVYeTYdSYdQYdPQl\ bJspMrmPqkSphUpfXoc_naanZdmXglUilShkUhkVhjWhjYgjZg\ i_giagibfhcfhefhffggfgiefjefkefmeendeodeqddrddsddt\ YjvRoxLtyMquNnrOknOhkPehQbdQ_aRXYSUVSRSTOOULLUJISG\ JREJPCJOAJN7K2Cg0Dj0Dm0Dp } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 30-10-05 (Julia Variation-7 [6)
by Jim Muth 30 Oct '05

30 Oct '05

FOTD -- October 30, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is a Julia set of the Z^(1.618034)+C Mandeloid as it appears 2 levels up the abstract spiral. The exponent of Z marks the first 7 digits of the irrational number phi, which continues as 1.61803398874989484820458683436563811772... This number is the value of the 'golden ratio'. It is also the square root of 5, plus 1, divided by 2. The golden ratio has a strange way of appearing in the proportions of geometric figures when least expected. Unfortunately, the number appears to lose much of its strangeness when used as an exponent of Z, but it still makes some interesting images. This is the seventh in the current series of branch-cut Julia variations. The eighth and final variation will appear as tomorrow's Halloween day FOTD. For the month of November I will start a new theme, though I have not yet decided what it will be. When rating today's image, I was prepared to give it a rating of 7. But then I noticed some clashing colors and dropped it to a 6, which is still an above-average rating. The render time of 1 minute is true on my old P200 warhorse with 16mb of memory, which probably gets more use than the P4-2300 machine with 1gb of memory that I use for the graphic design work. As has been the case for over 8 years, the completed GIF image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Ample sunshine graced Fractal Central on Saturday, but chilly temperatures and a cool breeze made things a bit too cold for the fractal cats. After spending 1/2 hour in the holly thicket, they decided it was better to sit on their window shelf watching the birds fly by than to go out and actually try to catch them. My day was slow enough to be enjoyable but not so slow that boredom became a factor. Today is starting sunny and chilly, with a fast warm-up forecast. The duo should approve. The next FOTD will appear in 24 hours. Until then, take care, and why are some very important questions impossible to answer? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-7 { ; time=0:01:00.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=0.0593088/-0.150193\ /1.173709/1/-127.5/-1.23373533611470521e-014 params=1.618034/0/2/0/0.02938/0.23769/0/0 float=y maxiter=1000 inside=bof60 periodicity=10 colors=000rZzqYzpXzoWzlVziUzfTzdSzaRzZQzWPzUNzRLzO\ JzLHxJFvGIrDLnAOh8RcCUZFWUIYPLaKOeFSiDVmCYqB`uAcy9\ sjgqecp`_nWWkSShNOeIKcEGa9C`48_04Y37Y59X7BW9DUCGTE\ IQGKNIMJKOGNRCPT9RV5TX2VZ3TX4RW5QU6OT6NR7LQ8JO9INA\ GLAFKDIQGLVJO`MRePUkRWpOXkLXfJYbGYYDZUBZP8_L5_G3_C\ CXDLUETRFaOGiLHV_AGn3IeIKYWMQiNIwQJtTKrWLpZMnaNkdO\ ifPgiQelRcoS`rTZuUXxVVzVTpLifBzTLlGVZ3dL3fL3hL3iL3\ kL3mL3nL2pN2rP2tQ5sT7sV9sXBsZDs`FsbJobNkbRgbVcbZ_b\ bWbfSbjObnKboPZpUWpZTqcPrhMrlJsmNsnQtoUtpXuq_urcvs\ fvtivsjvrjvqjvpjvojvnjvnjvmjvljvkjvjjvijvijrhenhaj\ hYfhUchQ_gMWgISgEOgALg6Nh9OiCPiFRjHSjKTkNUkQWlSXlV\ YmYZm_VjZSgZOdZLaZHZYEWYATY7RYoL1jS4eZ6`e8WlARsCNy\ EQrHSlKUfNW`QZUT`OWbIZdC`XBeQBiJAmCAqOFm_KikPevTau\ UcuUduUeuUguUhtUitUktVltVmtVosVpsVqsVssVtsVurYoq`i\ pbcoeYngTmjNlmHkoBjr5jt0AJvPcebxPatL`pH`mEdYhiWjmU\ lqSnuQpyPrwSnvUjuXftZbsaZ } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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quaternion product correction
by Tim Wegner 29 Oct '05

29 Oct '05

This correction is way too long in coming, I hope it didn't mess anyone up. I have been corresponding with Wes Loewer, Fractint's arbitrary precision author. He is teaching math and physics in Nairobi, Kenya at Rosslyn Academy (http://www.rosslynacademy.com) which is an American curriculum K-12 school. We passed along this correction, which I have verified. In any case, it turns out that the formula for the quaternion product in both the Fractint docs and Fractal Creations 2nd Edition is wrong. The current (wrong) formula for quaternion (x,y,z,w) is: q1q2 = 1(x1x2 - y1y2 - z1z2 - w1w2) + i(y1x2 + x1y2 + w1z2 - z1w2) + j(z1x2 - w1y2 + x1z2 + y1w2) + k(w1x2 + z1y2 - y1z2 + x1w2) The correct formula is: Then q1q2 = 1(x1x2 - y1y2 - z1z2 - w1w2) + i(y1x2 + x1y2 - w1z2 + z1w2) + j(z1x2 + w1y2 + x1z2 - y1w2) + k(w1x2 - z1y2 + y1z2 + x1w2) Fortunately, this multiplication function isn't coded up in fractint anywhere, and as far as I know, none of the quaternion fractals is wrong. (At this point if they WERE wrong I'd leave them as is for backwards compatibility.) Also fortunately, the hypercomplex formulas in the documentation and in the code appear to be right. Clyde Davenport's book on hypercomplex numbers is now online. This was my main source on hypercomplex numbers. The link is: http://home.usit.net/~cmdaven/cmdaven1.htm A useful link that includes formulations of some analytic functions of the quaternions that would probably be suitable for fractal implementations (maybe even in fractint) is: http://world.std.com/~sweetser/quaternions/intro/tools/tools.html Tim

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FOTD 29-10-05 (Julia Variation-6 [6)
by Jim Muth 29 Oct '05

29 Oct '05

FOTD -- October 29, 2005 (Rating 6) Fractal visionaries and enthusiasts: An unexpected job came in yesterday afternoon, so I have little time to write today's discussion. I grew bored with the (sqrt(2)) sets, so today's image is a view of a Julia set of the Z^(1.2)+C Mandeloid as it appears 2 levels up the spiral. It is worth a rating of 5, at least in my opinion. For some reason it reminds me of a Trilobite fossil, though I have not given it any special name. The image was rendered in the normal manner, with the exception of the small amount of inside, which was set to 'bof60'. Since the image is at a very low magnitude, it is a very fast one, rendering in less than one minute. And even better, the finished image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Despite ample sun it stayed quite chilly here at Fractal Central on Friday. The fractal cats, who do not like chill, were outside only 35 minutes. They spent the rest of the day on their shelf by the window, wishing it were warmer out there. My day was uneventful. This morning is starting with clouds and equally chilly. I expect the cats will once again have a short outing. If all goes well, the next FOTD will appear in 24 hours. Until then, take care, and could it be that something is wrong with the universe? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-6 { ; time=0:00:55.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=0.328134/0/1.046414 params=1.2/0/2/0/-0.103/0/0/0 float=y maxiter=1000 inside=bof60 logmap=yes periodicity=10 colors=000SSWNPXIMZDJ_8Ga4Db3Ea3Ea3E`3E`3F_3F_3FZ3\ FZ3GY3GY3GX3GX6KW9OWCSVEWVH_UKcUNgTPkTSoSVsSXvSYsW\ Yp_YnbYkfZiiZfmZdpZatZ_w``vb`udatfatgbsibrkcrmcqod\ ppdoreotenvfmwfmqcnlang_obXoYVpTTpOQqJOqEMq7ymBqgF\ jbJcXMXSQQMUJHXCCYEHZFM_GQ`HVaI_bJccKhdLmdMqcNrbOs\ bPtaQu`Rv`SwUYwObwIgwClwBgtAbrAYp9Tn9Ol8Jj8FhETfGS\ ZISSKSKMSDNS6KR5GR5CR48R44R31R38FWF3wPArZHmgNhiQij\ SjkVkmXkn_loampdnrfnsiotkpumpon_inJgkKehKdeKbcK``L\ _YLYWLXTLVQMTOMSLMQIMPGMN99Y5Ih2Run7rkBpiEnfHldKja\ Nh_QfYTdVXbT_`QbZOeXLhVJkTHnQCsN7wUDh_JUePFkV0hY4e\ _8cbC`dGZfKWiOTkSRnWOp_MrcQogUlkYinafrecvh`yj_rlZk\ mYeoXZpWSrVMsUFuT8vT2tOBsJJrERq9ZpDYpGXoJXoMWoPWnS\ VnVUmYUm`TmcTheUdgU`iUWjUSlUOnVKpVFqVBsV7uV3vV9wWE\ wWKwXPwXNtVMqTLoSKlQIjOHgNGeLFbJE`IFbFGdCHf9Ih6Jj3\ Jk1RiBYgLeeVldcjgYiiSgkMfmHdoBcq5bs0dr1fr1hr1jr1lr\ 1nr1or1qr1sr1RXXTWWVWVXWU } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 28-10-05 (Julia Variation-5 [7)
by Jim Muth 28 Oct '05

28 Oct '05

FOTD -- October 28, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image, the 5th in the Julia variation series, is more of a human production than a part of the world of math. I rated it at a 7, but only around 5 of those points are in the mathemati- cal part, which is merely a large open area with ragged edges. The other 2 or so points were earned by me when I rendered the image with the flat black 'inside' set to 'bof60', and did the coloring. The image is a Julia set of the Z^(sqrt(2))+C Mandeloid as it appears at zero level of the BC formula. Most of the features consist of 'bof60' inside fill, which works best with the inside part of this fractal. Only a small part of the 256 possible colors of the GIF palette actually appear in the image, but despite this the image seems quite fully colored. With a render time of under one minute, the image is a fast one. Equally fast is the download from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The partly cloudy skies and temperatre of 54F 12C were pleasant enough for the fractal cats to enjoy several hours in the holly patch on Thursday. The day was un-notable for me. Today is starting with some clouds and quite chilly. The cats will need their fur coats. The next FOTD will arrive in 24 hours. Until then, take care, and where is the ultimate source of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-5 { ; time=0:00:57.29--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.056338/-0.062630\ 5/0.9692117 params=1.414213562373/0/0/0/-0.0948\ /-0.1863/0/0 float=y maxiter=1000 inside=bof60 logmap=yes symmetry=none periodicity=10 passes=1 colors=000075066057348739A2AF6AK9AOCATFAXIAaLAeOFi\ UKl_PpeUsgZwiczlhzomzrtzuwzxzzzzzzzzzzzzzzzzzzzzzz\ `0meQPhRXGiAWl5abGdgBgk6nhTllFH5vPHgWTUcdFvyjsvZpt\ OmqCyxdfuhD9DUV7ivRjsIjq9Fw_NuRVsIbq92sZFZsQd``jJT\ qH1wJHtDWq7exnNeEtH_oZI4tMDvyUrV_aBeh6XJl`S`c_PggD\ ei`afZZdWWbTS_RPYOLWLITJERGBPD8NBBP9ER8HS7KU5NV4QX\ 3TY2W_3Z`4aa4db5gd6je6mf7pg7nh9liAjjCikDglEemGdnHb\ oI`pKZqLYrMWsOUtPTuQqL6cWYdYZdZ_d`_ea`ec`edaffafgb\ fhcgjcgkdgmdhnehpehqfhrfjtakuYlwTmxPeO8cPAbPCaPE_P\ GZQIYQKWQLVQNURPSRRRRTQRVPRWRXRTaNVgIXlEZqAbiEeaIh\ ULkMPnETq7WkCVeHV_MVURVOWVJ`VIaUHbUHcUGdUFdTFeTEfT\ EgTDgSChSCiSBjSBjSHlVMnXRo_Wqa`rcftfkvhpwkuymzzowu\ ntqnrmmohmmdmj`lgWleSkbOk`KkbJjcIidHhfGhgFghEfiDfe\ KebRe_YeXdeUkeRreOxeRseToeVkeYfe_beaZedUefQehMekHe\ mDeo9eq5epBcpGapM_pRZoXXoaVogTolSkiShfSecSa`SZZSWW\ STTSPQSMNSJLSGISCFS9CS69S } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 27-10-05 (Julia Variation-4 [5)
by Jim Muth 27 Oct '05

27 Oct '05

FOTD -- October 27, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image looks somewhat like a nuclear explosion. It is actually a picture of the Julia set of the Z^(1.25)+C Mandeloid as it exists only one level up the spiral. Or perhaps I should say 2.14159... levels down the spiral. The number PI works better as a ground level. The interesting Julia sets that can be created with the JuliaBC formula are very easy to find and they are literally endless in number. And, as today's 24-second render time shows, they are lightning fast. I'll post a few more low-order Julia sets before returning to the hoard of old, forgotten, mostly useless formulas. I want to check the Julia sets of a few of the square-root-of-two Mandeloids. Since today's fractal basically found itself, I could rate it no higher than a 5. The name merely indicates that it is the fourth in the series of similar images. (The first in the series was not an FOTD.) For the convenience of those with over- qualified computers, the completed image is available on the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A chilly blustery day Wednesday produced just enough sun to keep the cats in a neutral mood as they lurked in the yard. With the work still caught up, my mood was good. Today is starting sunny but chilly, leading me to expect another marginal day for the cats. The next FOTD will appear in 24 hours. Until then, take care, and be with it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-4 { ; time=0:00:24.06--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.0612658/0.043239\ /0.3908483/1/-90/3.88578058618804789e-016 params=1.25/0/1/0/0.09428/-0.0025/0/0 float=y maxiter=1000 inside=0 outside=real periodicity=10 colors=000HL8FM8DN7BO79P67Q65R53S51T54U77V89WACXBF\ YCHZEKaFNcGPfIShJUjKWfNYcQ_`T`YWbUZdRahOcmLfrHivEl\ zBoz8rz5tz6qz7nz8kz9hzAevBbrC_mDYhEVcFSZGPUHMQIJOJ\ GMJEMNIMRMMVQMZUMbYMfaMjeMmhKjkJhmIfoHdzGbzFazEczG\ qzHwzJqzKmzLczNYzOYwPYrRYmSYiUYhVYgWYeYYdZYc_Yb`ad\ adfchidkkfongrphurbkoYamTSjOIhJ8fNAgQChTEiWGiZIjaK\ kdMlgOljQmmSnpUnlTkiThfSecSb_R_XRXUQURQROQOMPNKPNI\ PNHONFOMDOMCNMANM8NL7ML5ML3ML2ML4NO6NR8OUAOWCOZEPa\ GPdHPfGQbFQ_FRWERTERQDSMCSJCTFBTCBT9EU8GV8IW8LX8NY\ 8PZ8SZ8U_8W`8Za8`b8bc8dc8eaAe_BeYDeWEfUGfSHfRJfPKg\ NMgLNgJPgHQhFShEThCVhAWi8Yi6Zi4`i3ak8YlDUnIQoNMpSI\ rXEsaAte6pf7mg8ig9fhAciA_iBXjCUkDQkDNlEKmFGmGDnGAo\ H6oI3pJ0pJ1lK1iL1fM1cN1`N1YO1VP1SQ1PR1MRGU`V`jhgtg\ drfbpf_neYldWjdThcRfcOdbMcaKaaH_`FY`CW_AUZ8SZ5QY3O\ Y1NW2RV2UU3YT3`S4dR4gQ5kP5nO6rN6uM6xP7tR7pT7mV7iX7\ fZ7b`7Zb7Wd7Sf7PhANiDLjGJ } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: Fractint Mail List?
by Paul N. Lee 26 Oct '05

26 Oct '05

Vortex Swirling wrote: > > Does anyone know what is going on > with the Fractint mail list? If I > try to go into the archives I get > "page not found". This seems to be > true for all the xmission lists. > Did you try going up the list of sub-directories in the URL until it started working again?? I did and got the following message: "This Lurker installation is currently disabled pending a security audit by XMission personnel. We apologize for any incoveninece this may cause." Later, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 26-10-05 (Julia Variation-3 [6)
by Jim Muth 26 Oct '05

26 Oct '05

FOTD -- October 26, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image pictures a Julia set of the Z^(1.15)+C Mandeloid as it appears 10 levels up the complex-log superspiral. At this level the Mandeloid resembles a pin-headed punching bag surroun- ded by acres of chaos. I chose the Julia set of an inside point near the bud side of the most obvious valley. Much of the image consists of an inside area brought to life by the 'bof61' inside fill. I gave the entire scene a heavenly blue tint that in my opinion raises its rating from a 5 to a 6. Some areas of the image appear to hold some interesting scenes, but I have no time to check these at the present time. There are far too many other fractals waiting. The name "Julia Variation-3" indicates that today's image is the third in the series of JuliaBC images. I am sure quite a few more are to come. With a render time of just under 15 minutes, today's image borders on the slow side. But the rendering may be avoided by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I am thinking of writing four more versions of the branch cut formula, one for each of the four remaining odd planes of the Julibrot. Most likely I will find little there that is more impressive than the scenes in the Mandelbrot and Julia sets, but it will be interesting to see what I can find. A steady cold rain fell all day Tuesday here at Fractal Central, with a raw wind and temperature of 43F 6C making things even worse. The dynamic duo kept their dis-satisfaction no secret. Luckily, I had stocked up on chunk light tuna ahead of time, and was prepared for the sulkiness. Today is starting breezy and chilly, but the clouds have cleared, promising a better day. The next FOTD will be posted in 24 hours. Until then, take care, and be at peace with all that is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-3 { ; time=0:14:51.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-0.295117/\ 0.224777/0.634058/1/-42.5/-3.77822773067748585e-014 params=1.15/0/10/0/-0.61125/0.69209/0/0 float=y maxiter=2600 inside=bof61 periodicity=10 colors=000D92D94D96D98D9AD9GD9ID9KD9MD9OD9QD9SD9UD\ 9WD9YD9_DAaDBcDCeDDgDEiDFkDGlDHmDInDJoDKpDLqFMrHNs\ KOtKPuKQvKRwKSxNTyNUzNVzNWzNXzNYzNZzN_zN`zNazNbzNd\ zNfzNhzNjzNlzNnzNpzNrzNtzNvzNxzNzzNzzNzzNzzNzzNzzN\ zzNzzNzzNzzXzzZzz`zzbzzdzzfzzjzzmzznzzqzztzzwxzzuz\ wsztrzqqzopzlozinzfmzcmz`mzYmzVmzSmzPmzMmzKmzKmzKn\ zKozKpxKqvKrtKsqHtoDulDviDwgDxdDyaDz_DzXDzXDzqFzzS\ zzdzzizznzztzzyuzzpzzjzzezz`zzZzzWzzWzzWzzTzzTzzRz\ zTzzWzzZzzZzz`zzczzcxzevzhqzhozjlzmizmgzpazr_zrVzu\ QzxCzx0zz0zz0zzCzzQzzazzozzzzzzzxzzuzzuzzrzzrzzpzz\ mzzmzzjzyjzthznhziezdez_czV`zP`zKZzFZzDWzDWzDTzDOz\ DTzDZzDczDhzFmzKrzPxzVzz_zzdzzizxnzvtzqvzoyzoHzzDz\ zDzzDzzDzzDzzDzzHuzKrzNpzv9it9lq9lq9ln9ln9ll9ll9li\ 9li9lg9og9od9od9ob9ob9o_9o_9oX9oX9oV9qV9qSBtSDtPJv\ POvPRxNWxN`zKczKhzHmzHpzHuzFzzFzzDzzDzzDzzDzzDzzDz\ zDzzDzzDzzDzzDeqD`lFZiHTd } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 25-10-05 (Julia Variation-2 [7)
by Jim Muth 25 Oct '05

25 Oct '05

FOTD -- October 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Since posting the last FOTD, I have become fascinated with the low-order Julia images drawn by the JuliaBC formula, which I recently came upon in one of my discarded formula files. Today's image is a Julia set of the Z^(1.125)+C Mandeloid as it appears 11 levels up the complex logarithmic hyperspiral. I have named it "Julia Variation-2" and rated it a 7. Since the image shows the entire Julia set, it is at a very low magnitude and therefore is a very fast one, rendering in under 1 minute on my tired, worn-out old P200 clunker with 16mb of memory, a 2gig hard disk, an exhaust fan that must be goosed into turning by hand, and a CD drive that has not worked in 6 years. The central spirals and triangles are made of inside stuff brought to life by the inside=fmod option and a proximity of 0.025. The radiating outer spokes are a natural part of the image, which was rendered with the outside parts of the image set to the old-fashioned everyday 'iter'. The image is so fast that it should hardly be necessary to download the finished version, but those who wish to do so will find the finished product on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An article in the November 2005 issue of 'Scientific American' magazine speculates that life on earth might have originated somewhere in outer space and reached earth on a meteorite. The most likely source of such a meteorite is presumed to be the planet Mars. Of course, this theory does nothing to explain how living material originally arose from dead matter. It merely shifts the process to another world, and if the ultimate source of life is presumed to have been on a planet in a different solar system, gives a bit more time for the miracle to have happened. I thoroughly discussed this topic in a recent series of FOTD's, so I will not repeat my own views of the nature of life, but I once again wonder how it is possible that such an intellectually advanced species as our own is still debating its own origin, which one would think would be the first question to answer. Cloudy chilly conditions on Monday here at Fractal Central cut short the cats' outdoor time, but not the time they spent in a bad mood. When fractal cats get sulky, they squat down and scrunch up in the most obvious place they can find, usually in a doorway, where they must be stepped over. But thank goodness for tuna. Neither Tippy nor Thomas can remain sulky when tuna is near. Today is starting rainy, windy and chilly. It will not be a good day for the cats. In my department, the work is pretty much caught up, so the next FOTD should appear in 24 hours on schedule. Until then, take care, and is it possible for us to discover what we are? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Variation-2 { ; time=0:00:58.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 float=y maxiter=255 center-mag=0.138015/-0.127115/0.9300138 inside=fmod params=1.125/0/11/0/0.03224847/-0.32755741/0/0 proximity=0.025 logmap=yes periodicity=10 colors=000zzZlgGg_UbSgYKuVNtTPsRRrPUqNWpLYoJ`nHbmF\ dlDgkBij9gi9ff9cd9_b9X_9TY9PW9LT9IR9EP9AM96K93I5AD\ 2H97NDCSHJXLQaPXfSckWjp_ovcsyfmrafhY_ZUSPPFGL37H4A\ I5DI7FI8IJALJCNJEQKFTKHVKJYLL`LMbLP_MSYNVVOYTP`QQc\ ORfLSiJTlHUkGVkFVjFVjEViDViDWhCWhBWgBWgAWf9Xf9Xe8X\ e7Xe7XcCWaGV`KUZOTXTSWXRU`QTdPO_MKVKGQHCLF8GC4CADL\ EMTHV`KchNlpQtxTswSswRsvQsvPruOruNrtMrtLqsKqsJqrIq\ rHqrGnqFlpEioDgnCdmBblA_k9Yk8Vj7Ti6Qh5Og4Lf3Je2Gd1\ Ed0Dc7CbDBaKAaQ9`W8_b7Zh6Zn7`j7bg7dd7f`8hY8jV8lR8n\ O9pL9rH9tE9vB9w8ArABmCBhECcGCZHDUJEPLEKNFFPFBQNAMU\ 9Ia8Fh7Bp67w54r88mBBhEEcGHZJKUMNPPQKRTQTQWVNaXKgZH\ m`EsbBxc9iZFVVKGQQ2MV2J_2Fd2CjSANF9GN8NV7Ua7_ZDZXJ\ YVPXTVW`c4R_WFcAIMwAJj3HYBJUILQQNMXPIaWEcRFeNGfJHh\ FIiBJk7Kl3Kg4Ib4GY5ET5CO6AJ69M87P96RB5UC3WE2ZF1kVD\ `G0cNAfUJjWNh_SgcXfgadjfcnkbrpauuRmjGf_9XT6_Q`L43a\ NAcTGeZNgdTij_kpelufjqfhm } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Extra fractal; not an FOTD
by Jim Muth 22 Oct '05

22 Oct '05

Fractal fans: Today's posting is not an FOTD. I have no time today for a regular FOTD, but I have just turned up a formula that I had forgotten about, and I wanted to give an idea of the things it might do. I also have found that it was Andrew Coppin who originated this formula and apparently the basic idea for the MandelbrotBC2 formula as well. The image is a Julia set of the Z^(1.1)+C Mandeloid as it appears 100 levels up the logarithmic super-spiral. The next real FOTD will appear on October 25. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com ----------------------------------------------------------- Julia_Variation-1 { ; time=0:02:34.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0.0738128/\ -0.0496634/1.036244 params=1.1/0/100/0/0.206/0/0/0 float=y maxiter=2600 inside=255 logmap=15 periodicity=10 colors=000EF8GC6I94J72L67N6CP6HR6LT6QU6VW6_Y6c_6ha\ 6mc6rd6ue8sfAqgBohDmiEkiGijHgkJelKcmMaoN_nSYnXWnaU\ oeSojQooOosMlrKirIfrKdqMaqNZqPXpRUpTRpVPpWNkVMfUKa\ TJXSHSRGNQEIPDDPFPCIRDLSENUEQVFSXFVYGX_G_`HabHdcIf\ eIifJkhJniKpkKslLunLxoMzpMskOlfQfaS_XUUTVWSUXRTYQS\ ZQR`PQaOPbOOcNNeMMfLLgLKhKJjJIkJHlIGmHFnHFlJHjKIhL\ KgMLeNMcOObPP`QRZRSXSTWTVUUWSVXRWZPX_NYaLZbK_cI`eG\ afFbgI_`LYVOWPRTJURDXP7ZN1YX2Yf2Xp3Xz3Ww7WuAVrDVpG\ UnJUkMTiPTfSSdVSbYR_`RYcQVfQTiPRlPOoOMrOKuPLsQMrQN\ qROpSPoSQnTQmURlUSkVTjWUhWVgXWfYWeYXdZYc_Zb__a```a\ a_aaZ`aU_aQZaMYaI`bGcbFfcDicClcBod9rd8ud7p_6kV6fR6\ aM5XI5SD5O95NC7ME9MGBLICLKEKNGKPHJRJITLIVMHYOH_QGa\ RGcTFeVFgWQiQ_jKjlEtm9oj8kg7fe6bb5Y`5UY4PW3LT2HR2J\ S3LT4MU5OV6QV7RW8TX9VYAWZBYZC__D``EbaFdbGebGcdEaeC\ `gBZh9Yj7Wk6Vm4Tn2So1Pl3Ni4Lf5Jc7H`8FY9RQCaJEmBHx4\ Jp9HiDFPVKQSIQPGRNESMCJWN } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } ----------------------------------------------------------

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Zoom into Jim Muth's Oct 16, '05 FoTD.
by Hal Lane 19 Oct '05

19 Oct '05

########################################################### Here is a Zoom into Jim Muth's Oct 16, '05 FoTD. Damascena Korwen's Leather Gem color map is used in a rotated version. Creation time was 20 seconds on my older Pentium 400 machine. See my Oct. 13, '05 post on: "How to use a .PAR file" for instructions on how to use Fractint to generate this fractal. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Mandel_Variation5A{ ; Hal Lane Oct 19'05 0:20 P400 1024x768 ; Zoom into Jim Muth's Oct 16,'05 FoTD. ; Damascena Korwen's Leather Gem ; color map rotated. reset=2004 type=formula formulafile=pastengo.par formulaname=wallpaper center-mag=0.693774/2.0912/2.933562/1/90/3.885780586188\ 04789e-016 params=-0.75/0.49/16/0 float=y maxiter=95 inside=255 logmap=yes symmetry=xyaxis periodicity=0 sound=off colors=YD0P61<2>S91fM5<3>iO5jP5kQ6<9>UB3S92Q82<3>I10931\ A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A\ 4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>Jk\ lKmmJkj<7>CURBSOAQM<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM\ <5>bmDenBhoA<3>ts3wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<\ 2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<3>nXFoZGp`\ G<2>seG<15>dL4cK3bI2aH1`F0`F0<5>UA0T90S80R80Q70P60<3>L3\ 0K30J20I10I10<16>UB2UB2VC2<3>YE3<5>M41N41000 } frm:Wallpaper { ; Author: ? ; use fp math, no periodicity, XY symmetry ; p1=location in M-set ; p2=magnitude z=c=p1+(1/p2)*(tan(cos(real(pixel)))\ +flip(tan(cos(imag(pixel))))): z=z*z+c, |z| <= 64 } END PARAMETER FILE========================================= ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.12.4/142 - Release Date: 10/18/05

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FOTD 19-10-05 (Mandel Variation-8 [NA)
by Jim Muth 19 Oct '05

19 Oct '05

FOTD -- October 19, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image is a variation of yesterday's image. It was created by the same formula, and the only change is in the real p1 parameter, which has been raised from 1 to 10. I did not rate the image, since it is a virtual repeat of yesterday's. The name indicates that the image is the eighth in the series of Mandelbrot variations. The render time of today's image is slightly longer than yesterday's, though I doubt that anyone will complain about an additional 1/10 of a second. The finished image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In yesterday's mail I received the November issue of 'Scientific American' magazine. When I opened it I found several interest- ing articles. The first article says that a deadly 'bird flu' epidemic is possible. I'll have to raise 'bird flu' higher on my list of other media-induced things to worry about. In the meantime, to take my mind off the ever-increasing list of things to worry about, I'll rush out and buy the sponsor's products. Another article in the magazine speculates that the force of gravity might be a kind of illusion arising from interactions in a lower-dimensional realm. (I thought there were supposed to be 10 or 11 dimensions in the world of supermembranes.) The last article tackles the question of how the very material brain generates the sense of the very immaterial 'self'. (Hope- fully it goes beyond merely measuring brain activity.) I have not yet found time to thoroughly read any of these articles, but I am already intrigued by the fact that in the same publication there is an article about physics, implying that the search for answers must extend beyond the intuitive range of our senses, and another article about neurobiology, implying that we need not search beyond the range of our senses for the answers. Come on guys, these are big mysteries. Let's have a bit of philosophical agreement here. Perhaps I don't even need to read the articles. The first article probably is another remotely possible idea that most likely will go the way of the luminiferous ether. The second is probably a study of what happens in the brain when a person is conscious. It almost certainly will not bridge the gap between interacting neurons and our inner sense of 'self' in a comprehen- sible manner. Turning to my own field, graphic design, a very large job has come in, which will leave me little time to ponder other things for the rest of the week. Due to the rush, the next FOTD will be delayed for several days. An unexpectedly pleasant sunny 77F 25C day on Tuesday made the fractal cats very happy. And even better, today promises to be equally as pleasant. For me the work has once again piled up and it will take several days to clear things away. The next FOTD will appear by next Monday or Tuesday. Until then I will be very busy but not too busy to keep up with the fractal lists. Take care, and if gravity, which seems very real, is only an illusion, how much more that appears real is only an illusion? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-8 { ; time=0:00:00.97--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Test-01 function=cos/sqr center-mag=-0.459436/0/0.02901848 params=10/0/1/0/2/0 float=y maxiter=1000 inside=0 outside=summ logmap=yes periodicity=10 colors=000NIVR4XR4TR4QS3MS3JS3FS3CS39Q8APDAOHAMMAL\ QAKVAI_BHcBGhBElBDqBCuBHnDLgEP`FTVHXOI`HJdBKeHLfNM\ gSMhYNhcNihOjnOktPkyPdpTZhXS`_MTcGLfJP_LSTNVMQYFS`\ 8Uc1Re7OgCLhHIjNFlSCmXEhZFd_H_`IWaJSbHUcGWcFXcEZdD\ _dCadBcdAde9fe8ge7ie6kf5lf4nf3of9lbEiZJgWPdSUbOZ_L\ dYHiVDnTAhVFbXKXZPR`ULbZFdcAfgBjfCnfCqfGlbJhZMdVQ_\ RTWOWSKS7gO8dKAaGCZCDW8FT4GQEBcN6pOAnPElQHjRLhSOfT\ SdUVbUZaVa_WeYXhWYlUZoS_sQ_vPWsQSqRPnSLlTHjUEgVAeW\ 7cWJfXUiXdlXooXoeUoXSoOQiX`ddkffihghihgkifljenkdol\ cqmbrnato`up_sk`qfaoabmXclScjNdhIefDfe9fOYS7vEBtHF\ rKJpNNnQRmTVkWZiZbgaffdjdgnbjr`mu_oqYpnXqjWqgVrcUs\ `TsXStURtQQuNPvJOvGNwDMwIQrNTnSXjX_facbffYkjUpmQuq\ MztIYjS6a`4`X2_T0_P5ZR9ZSEYTIYUNXVRXWWXX_WZdW_hV`m\ VaqUbvUczUdyWcxYbx_aw``vb_vdZufYtgXtiWskVrmUrnTqpS\ ppRppRnnSmlSliTjgThdUfbUd`VbZUaYU`WU_VUZUUYTUXSUWR\ UVQUUPUTOUSNURMUQLUPKUOJU } frm:Test-01 {; Jim Muth z=real(pixel)+(p1*(fn1(imag(pixel)))) c=p2*real(pixel)+fn2(imag(pixel)): z=z^p3+c |z|<=100 } END PARAMETER FILE=========================================

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FOTD 18-10-05 (Mandel Variation-7 [7])
by Jim Muth 18 Oct '05

18 Oct '05

FOTD -- October 18, 2005 (Rating 7) Fractal visionaries and enthusiasts: What can be said about a fractal that takes less than one second to finish? Not much I fear. But today's soft, wavy image does just this. It renders in an impossible 7/8 of one second on my tired old machine. I doubt that it could render faster, even on the newest units, since it will take them about one second to shift into the chosen vesa video mode. Today's resurrected old formula, named Test-01, is something I wrote back in 1996. Having not seen it for nine years, I have no idea of what I was trying to accomplish when I wrote it. Possibly, I was investigating the four odd planes of the Juli- brot. After all, the small open area at the center of today's image does rather resemble the Elliptic slice of the Julibrot. But whatever its original purpose was, I soon laid the formula aside and forgot it -- until yesterday, that is. With its two changeable functions, the formula actually draws some quite interesting fractals. Today's image, which somewhat resembles a reflection in a puddle of water, is a sample of what it does. In keeping with the trend of recent days, I named the image "Mandel Variation-7" The rating of a 7 is largely due to the extra effort I put into the coloring, which, at least on my monitor, is almost but not quite perfectly smooth. There is little more to be said about the image, which speaks for itself, using light waves instead of sound waves of course. As I said earlier, the image is faster than light, but those without the 7/8 of one second to spare can visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished product from there. A temperature that was slightly too chilly and a wind that was a little too brisk kept the fractal cats from being perfectly happy on Monday. But they still managed over an hour in the holly patch, checking the holly berries, which are just starting to turn red. Once I finished the day's work, my day was equally satisfactory. Today is starting a bit milder, and with no wind. It looks like a better day coming for the cats. The next FOTD will appear in 24 hours. Until then, take care, and then have a bit of fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_variation-7 { ; time=0:00:00.87--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Test-01 function=cos/sqr center-mag=-0.459436/0/0.02901848 params=1/0/1/0/2/0 float=y maxiter=1000 inside=0 outside=summ logmap=yes periodicity=10 colors=000NIVR4XR4TR4QS3MS3JS3FS3CS39Q8APDAOHAMMAL\ QAKVAI_BHcBGhBElBDqBCuBHnDLgEP`FTVHXOI`HJdBKeHLfNM\ gSMhYNhcNihOjnOktPkyPdpTZhXS`_MTcGLfJP_LSTNVMQYFS`\ 8Uc1Re7OgCLhHIjNFlSCmXEhZFd_H_`IWaJSbHUcGWcFXcEZdD\ _dCadBcdAde9fe8ge7ie6kf5lf4nf3of9lbEiZJgWPdSUbOZ_L\ dYHiVDnTAhVFbXKXZPR`ULbZFdcAfgBjfCnfCqfGlbJhZMdVQ_\ RTWOWSKS7gO8dKAaGCZCDW8FT4GQEBcN6pOAnPElQHjRLhSOfT\ SdUVbUZaVa_WeYXhWYlUZoS_sQ_vPWsQSqRPnSLlTHjUEgVAeW\ 7cWJfXUiXdlXooXoeUoXSoOQiX`ddkffihghihgkifljenkdol\ cqmbrnato`up_sk`qfaoabmXclScjNdhIefDfe9fOYS7vEBtHF\ rKJpNNnQRmTVkWZiZbgaffdjdgnbjr`mu_oqYpnXqjWqgVrcUs\ `TsXStURtQQuNPvJOvGNwDMwIQrNTnSXjX_facbffYkjUpmQuq\ MztIYjS6a`4`X2_T0_P5ZR9ZSEYTIYUNXVRXWWXX_WZdW_hV`m\ VaqUbvUczUdyWcxYbx_aw``vb_vdZufYtgXtiWskVrmUrnTqpS\ ppRppRnnSmlSliTjgThdUfbUd`VbZUaYU`WU_VUZUUYTUXSUWR\ UVQUUPUTOUSNURMUQLUPKUOJU } frm:Test-01 {; Jim Muth z=real(pixel)+(p1*(fn1(imag(pixel)))) c=p2*real(pixel)+fn2(imag(pixel)): z=z^p3+c |z|<=100 } END PARAMETER FILE=========================================

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FOTD 17-10-05 (Mandel Variation-6 [6])
by Jim Muth 17 Oct '05

17 Oct '05

FOTD -- October 17, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's old forgotten formula is an early attempt to examine the odd planes of the Julibrot. In a way it succeeds, but its extra baggage makes its use more difficult than need be. For today's fractal, the formula has created a very unusual variation of the Julia set of East Valley of the Mandelbrot set. The artistic worth of the image is un-notable, but the mathematical interest raises the total worth to a rating of 6. The p1 parameter places the scene in East Valley of the Mandel- brot set, while the p2 parameter slices the 4-D Julibrot in a direction very close to the Julia orientation. The p3 parameter adds the extra decoration that makes the image mathematically notable. The overall effect is one of an endless spiral, only one level of which appears on the screen. I named the image "Mandel Variation-6". A name like 'Julia Variation' might have been more appropriate, but names are names, and the name I have given the image will be its name for all eternity. Except for those with internet-proficient-but-Fractint-chal- lenged computers, rendering today's image will be no problem, for it finishes in only 26 seconds, and that is on my tired old P200 workhorse machine. Those with amnesiac machines that have forgotten how to run DOS programs can see the image by down- loading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday turned out milder than expected here at Fractal Central, with a lot of sun, a fresh breeze, a few scudding clouds, and a high temperature of 66F 19C. The cats were satisfied, though not overjoyed. Today is starting sunny but chilly. The cats are still sleeping and have yet to comment. The next FOTD will appear in 24 hours. Until then, take care, and see the new world revealed by fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-6 { ; time=0:00:26.26--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=ManJul2CPwr inside=255 center-mag=-0.000916065/0.00366617/0.507824/1.0765 params=0.255/-0.0006/1e-010/0.001/-50/10 float=y maxiter=10000 outside=real periodicity=10 colors=000SXkZYheZek_bcT`WMZOFYG8W82VB4UE5TH6SK7RM\ 8RP7MS7HV6CY67`62b58c5De4If4Nh3Ti3Yk2bl2gg4ec6dZ8c\ VAaQC`ME_W8`d3a_RNVn9YiB`eDcaFfYHhUIjYKk`MldNmgPoj\ RpnSqqUrtVilWaeXUYYMRZEKZIbZMtZMuZNuYNuYNuYOvYOvYO\ vYOvYPuZPuZPtZPtZPsZQsZQrZQrZQqZQqZQqZRpZRpZYYZRoZ\ RoZRnZSnZSmZSmZSlZSlZSlZTkZTkZTjZTjZTiZUiZUhZUhZUg\ ZUgZUgZVfZVfZVeZVeZVdZWdZWcZWcZWbZWbZWbZXaZXaZX`ZX\ `ZX_ZY_ZYZZYZZYYZYYZIP1JQ2JQ3JQ3JQ4KQ4KQ5KQ5KR6LR6\ LR7LR7LR8MR8MR9MS9MSANSANSBNSBNSCOSCOSDOTDOTEOTEPT\ FPTFPTGPTGQUHQUHQUIQUIRUJRUJRUKRUKSVLSVLSVMSVMTVNT\ VNTVOTWOTWPUWPUWQUWQUWRVWRVWSVXSVXTWXTWXUWXUWXVXXV\ XYWXYWXYXYYXYYYYYYYYZlXgkYfkYfkYfkYfjYfjYfjYfjYejY\ eiYeiYeiYeiYehYehYehYdhYdhYdgYdgYdgYdgYdgYdfYcfYcf\ YcfYceYceYceYceYbeYbdYbdYbdYbdYbcYbcYbcYacYacYabYa\ bYabYabYabYaaY`aY`aY`aY``Y``Y``Y``Y_`Y__Y__Y__Y__Y\ _ZY_ZY_ZYZZYZZYZYYZYYZ000 } frm:ManJul2CPwr {; Jim Muth ; Creates and rotates ^2 Hyperbrot Figure ; P1 sets point of rotation, P2 sets angle of rotation ; P3 sets power of C z=c=pixel: z=sqr(z)+p1+(p2*(c^p3)), |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 16-10-05 (Mandel Variation-5 [4])
by Jim Muth 16 Oct '05

16 Oct '05

FOTD -- October 16, 2005 (Rating 4) Fractal visionaries and enthusiasts: Can a fractal be used as a wallpaper design? Today's image shows that the answer is yes. The old formula I resurrected for today is named "Wallpaper", and the only thing it aparently does is create a wallpaper-like pattern. Since the formula is based on the Mandelbrot set, I named the image "Mandel Variation-5". Like is true of so many of these old forgotten formulas, I have no idea where it came from or what it was originally supposed to do, though with the way the functions are piled on in the iteration part, I doubt that I wrote it. The (p1) parameter is set to a point some distance north of Seahorse Valley. Bits and pieces of this valley form the smaller, more intricate parts of today's wallpaper sample. The larger flat diamond shapes are simply parts of the iteration bands in the area. Is there a market for wallpaper with a fractal design? Who knows. Maybe it has already been tried. I myself prefer the peaceful feeling a smoothly painted wall induces, expecially when the color is a pastel tint of blue. But some people enjoy the liveliness that a busy wallpaper pattern can create. There might be a place for fractals on the walls of our homes, but surprisingly enough, not here at Fractal Central. After giving today's image careful consideration, I rated it a below-average 4. This is no reflection on the worth of the formula. The formula might have far better images in it, but wallpaper is just not my thing, so I will not work with the formula long enough to find out. One very good point however is the speed of the image, which with its XY-axis symmetry, renders in an incredible 3 seconds. It will take several times as long to stop by the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. Lots of sun and a high temperature of 75F 24C here at Fractal Central on Saturday was just what the cats have been waiting for. Only a rather brisk wind kept the day from being absolutely perfect. Today is starting sunny but not quite as warm. The day will probably be good enough for the duo. For me things look peaceful. Hopefully they will stay that way until the next FOTD appears in 24 hours. Until then, take care, and spare no fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-5 { ; time=0:00:03.18--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Wallpaper center-mag=0/0/0.04266667 params=-0.75/0.49/16/0 maxiter=95 inside=255 float=y logmap=yes symmetry=xyaxis periodicity=0 colors=000qmmnibkdSSEKYMJcUIQXR1NTNUNrp3ol7mhAjdEb\ KIXr8_mBbiDedFjAciOSmrWjiONGXYRPim4hi8hfBhcEiqWhkR\ heM6vlQkXgmWhiSjbelikecXZZIWi9Tt0MPgnN6ZYPJggKx_TX\ k`5w`Wq`ukwzokyp`xqPwrEvrAnZ7gGF_KMTNTMQ_FTaKNbPId\ UCeZ7rwllmcgcWaUNXKFPLKHMP9MUDQLGUCJY3RX5ZX7fW9nWA\ xCvZpTViaRbiNWrJPzLcqNqhGbg9Pg2Bgt3Ih8MhIKhSITRzZH\ oj23iKA40EIDFWPGt0jnJWoZVl_Qj`LJpaSjV`eOasEdlFffGt\ zUpqPlhL1KBGQDVWF0OqFTdUXTZBMlAhJSfQV_WXUbZNAV7PkP\ WgMbcJkXIiZHuMypRjlWWvSSrVPoXMkZJcGmeNbgUSsh8pfBmd\ DjbF7UCAMMJQKSUJ`YIjTViWQhZLpO9lVD4_NLTsTWf`ZU2htD\ fjOd`ZbRqY8f7OgFMgMKhUIReIWcH_bHdaHVEbaQS`xbdlSVgr\ ih6heAhbEhXThYQhZNh_KyYlp_XZM0cU9nholecjbSemF8eELy\ TXlNGUxQXi_ZVhEehMXhUPCczLbnTac``SWhEkpkOSFVVGaYHE\ xLPpJZhIvFWoQOj5DiGFhRGIr6Pm9WiCbdF6meJhXWdPRHa_RR\ RMo_UYy1usDgmPUJJJQOIWSIbXHjnligXbvXdpTekPgeLo2kkK\ Wv1YoJPNb6aeaccWebRgaMtry } frm:Wallpaper { ; ; use fp math, no periodicity, XY symmetry ; p1=location in M-set ; p2=magnitude z=c=p1+(1/p2)*(tan(cos(real(pixel)))\ +flip(tan(cos(imag(pixel))))): z=z*z+c, |z| <= 64 } END PARAMETER FILE=========================================

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FOTD 15-10-05 (Mandel Variation-4 [5])
by Jim Muth 15 Oct '05

15 Oct '05

FOTD -- October 15, 2005 (Rating 5) Fractal visionaries and enthusiasts: When sleep will not come, or sometimes just for fun, I like to imagine myself exploring the surface of a four-dimensional hyperplanet. I start at the zero-zero-zero point and travel west along the equator. These three coordinates are needed to mark the starting point because the surface of such a hyper- planet is a curved three-dimensional space. Since my imaginary self still has only three-dimensions, I can never see the entirety of the planet, but I can scan any chosen section, using time as the missing dimension. The equator of such a hyperplanet is a great circle around the planet, the same as it is on earth. But the equator does not separate the hyperplanet into two hemispheres as earth's equator does. It is merely a line around the surface, which may easily be bypassed completely by taking a route that does not intersect or even come near it. I move west along the equator until I have gone 90 degrees from the starting point. Then I stop. There is now a big decision to be made. I want to leave the equator to check the higher latitudes, but I must decide in which direction I wish to travel. On earth the decision would be simple. The surface is two-dimensional and, setting out at a right angle, I could go only directly north or south. But on the hyperplanet the surface is three-dimensional and there is a full 360-degree circle of directions in which I could leave the equator at a right angle and move directly toward the pole. Something is wrong. By definition, the pole is 90 degrees from the equator and if I have a choice of 360 degrees in which to move directly toward it from one point on the equator, the pole cannot be a point. This is true. On a four-dimensional planet, the pole is a great circle, which circles the planet exactly like the equator, and every point of it is 90 degrees from every point of the equator. Does this mean that frigid arctic conditions form a ring around the planet? Not necessarily. Planets rotate. The equator of our hyperplanet rotates on itself exactly as earth's equator does. But it rotates around the polar circle as its axis. As the planet rotates, every point of the polar circle remains fixed in position and rotates in place, exactly as the two points of earth's north and south poles do. Things get even more interesting. The polar circle does not just sit there, its points turning in place. It can rotate around the equatorial circle just as the equatorial circle can rotate around the polar circle. A four-dimensional planet can be subject to two independent rotations at the same time, and planets being planets, if rotation is possible, it will almost certainly be happening. In my mind, this raises the question of the path the sun would take in the three-dimensional firmament of the hyperplanet. The points of a 4-D hypersphere subject to double rotation trace out paths that are impossible to visualize in 3-D space, but some- what resemble a curved helix with its ends joined into a circle. This is where I now stand. Would the equator of our 4-D planet be a circle of heat, while the polar circle is a circle of cold? Maybe or maybe not. The sun would travel a kind of spiral path in the sky, which at first would seem chaotic, but after a while a pattern would become evident. At times, the sun's path might or might not take it away from the equator and high over the polar regions, warming them and giving the entire planet a temperate climate. Right now I am not sure, but I expect many more nights of good sleep trying to find the answer. Oh, and before I forget, we have another fractal for today. It was created with an old formula written back in 1998 by Jay Hill (I wonder what happened to him). Since the image is part of a distorted Mandelbrot set, I named it "Mandel Variation-4". Its extreme magnitude made the mathtolerance entry necessary in the parameter file. The image rather resembles a scene far out on the negative stem of the M-set when the bailout radius is set to 4. Due to its appearance of familiarity, I could rate the image no higher than a 5, but the render time of under one minute means that little time will be lost in rendering it. Those who do not render can find the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unexpected amount of sun and an unexpected high temperature of 73F 23C kept the fractal cats' mood in the good range on Friday. They enjoyed several hours in the holly thicket, watching the birds fly by. Today is starting even better. The cats will be overjoyed. I expect my day to be acceptable, but it will be even better if the next fractal turns out well. The next fractal will appear in 24 hours. Until then, take care, and listen to the message of the fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-4 { ; time=0:00:56.08--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MixUp passes=b center-mag=-1.963594365754721/0/1.044777e+013/0 params=1/0/2/0/0.0700000002/0 float=y maxiter=500 inside=255 outside=real symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=000h9tFkmKnlOqkStjWviU`ZSGPQEOODOMBNKANJ6GJ\ 29O3FS4KW5Q_6Vc7`g8ek9ko9ppQ_peJogKnhLmiMljNkkOjlP\ imQceNYYLSQJMIHGAFJBKMCQPDWSE`VFfXGkSDjNAiI8iD5h82\ g40gD9dLHaTPZaYWieTqmRbqWPu`BxdGt_KqVOmRSjMWfI_cDc\ `9KB8gT7hP6jM5lI4mE3oA2p71jOGedV`tiarjapjanjaljajj\ ahjafjbVdcK_c9VVLTNWRFfPN_RUTSaMThGUfMWeRYdW_ba`af\ b`kd_peXfZVYTSRNQNHRKBQI5R78TBAVFCWJEZNH`RJcVLeYNf\ aPgdRhgTijVjmXmoSppOrrJusFwwBzzJpsRmrZjrfgrnUeVUcO\ U`HUYAUW4dWOoWfzWytYso_nj`iebd`c_WeVRfQZaPeXOlTOsO\ NzKNyTby`rrVnkPjdKfYEbR8ZK3WHDVEMUBVU8cT5lS2uS3rT4\ oT5lT6iU7fU7cUMpETqDZrDdsDjtDpuDvuDXaT8Jg7NZ6QQ6TI\ 6RH6QG5OF5NE5LD4KC4IB4HA3F93D82C72A629517416314203\ 1010KM5NV2gb3d_2aY2_W2XT2VR2SP1PM1NK1FRqB`q7kq4uqe\ XI_NXUDkP4zXFqcPhj__qiRxsJwtOwtSwuXwu`ttWqtRnsMlsH\ jcQhOYg8eZDhQHjHMl9Qn8Tl8Vk7Yj7_i6bh6dg6ffRpejzdPm\ j4apIVbWPPiJChHLhFUhDb000 } frm:MixUp {; (c) Jay Hill, 1998 ; make sure p1 <> p2 and p3 <> 0 u=p1, v=p2, w=p3, c=pixel/w, x=v-u, z=(-u/v/w)^(1/x): z=z^u + w*z^v + c |z| <= 1000 } END PARAMETER FILE=========================================

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FOTD 14-10-05 (Mandel Variation-3 [6])
by Jim Muth 14 Oct '05

14 Oct '05

FOTD -- October 14, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's old long-unused formula is named "Test0622". It is so simple that it barely deserves being called a formula. It draws only the Mandelbrot set with a changeable parameter and function added to initial C. But as today's image shows, in the world of fractals, little initial changes can produce great final results. Despite its unlikely appearance, the segmented worm-like shape filling today's cropped image is the Mandelbrot set. The shape and proportions have been changed, but topologically the set is unchanged. Nothing has been added or taken away. It is the exponential function and parameter which have been applied to C that are responsible for the craziness. I'm not certain how, but when this function is applied to C, the effect is to enlarge the designated point to infinity, resulting in an image something like what one might see if he were actually in the world of the Mandelbrot set, standing at the point and looking at the scenery surrounding him. In today's image the point is in a remote valley on the northern shoreline of the main bay of the M-set. The main bay itself is the open area farthest to the right, where East Valley and the main negative stem are vaguely visible. The wide-screen effect does not mean something is wrong with your monitor. I have changed the proportions of the image to avoid repeating parts of the distorted M-set. A single outzoom will reveal that today's image is part of an infinite repeating series of identical images. In order for the image to render properly in the vicinity of the central point itself, the periodicity must be turned off. I have done this in the parameter file. The maxiter of 45000 would seem to be far beyond what is necessary for an image of the entire Mandelbrot set, but carefully check the left edge of the image. The maxiter there is barely adequate. Though most of the value of today's image is mathematical, it has enough artistic worth to rate a 6. The name "Mandel Variation-3" is a simple description. The render time of 9 minutes is reasonably fast, but the image may be seen much faster by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A most unpleasant chilly drizzly day here at Fractal Central on Thursday made the Fractal Central cats most unhappy. Extra tuna in the evening made them less unhappy. Today is starting the same as yesterday, but without the drizzle. I expect little happiness to come the cats' way. My work is reasonably caught up, so I am neutral. The next FOTD will appear in 24 hours. Until then, take care, and look for the fractal lining. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-3 { ; time=0:09:15.85--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Test0622 function=exp center-mag=-6.53\ 755/1.20746/0.2636167/0.6249/14.1598813307994735/\ -1.23373533611470521e-014 params=0/0/-0.2217009427\ 4/0.79843333763 float=y maxiter=45000 inside=0 logmap=yes periodicity=0 viewwindows=1/0.5/yes/0/0 colors=000IYTIZVJ_WK`YL`_Ma`NbbOccPdePefQfhRgjShkT\ imUjnVkpSkrUkqVjqWiqXhqYgqZeq_cqaaqb_qcZqdXqeWqfUq\ gTqhRqjPqkOqlMqmLqnJqoIqpGqrEqsDqtBquAqv8qw7qx5qz2\ sy3ry4qy5py6oy7ny8ny8my9lyAkxBjxCjxDixEhxEgxFfxGex\ HexIdxJcwJbwKawLawM`wN_wOZwPYwPYwQXwRWvSVvTUvUTvUT\ vVSvWRvXQvYPvZPv_Ou_Nu`MuaLubLucKudJudIueHufGugGth\ FtiEtjDtjCtkCtlBtmAtn9to8to8sn9rm9qm9pl9ol9nk9mj9l\ jAliAkiAjhAigAhgAgfAffBeeBeeBddBccBbcBabB`bC_aCZ`C\ Z`CY_CX_CWZCVZCUYDTXDSXDRWDRWDQVDPUDOUENTEMTELSEKR\ EKREJQEIQFHPFGPFFOFENFDNFDMFCMGBLGAKG9KG8JG7JG6IG3\ HH5IG6IG7IG8JGAJGBJFCJFDKFFKFGKFHKFILEKLELLEMLENME\ OMEQMDRMDSNDTNDVNDWNDXOCYOC_OC`OCaPCbPCdPBePBfQBgQ\ BhQBjQBkRAlRAmRAoRApSAqSArS9tT9uU9vV9wW9xX9yYAzZAz\ _Az`BzaBzbBzcCzdCzeCzfCzgDzhDziDzjEzkEzlEzmEzmFzmF\ zmFzmGzmGzmGzmGzmHzmHzmHzmIzmIzmIzmIzmJzmJzmJzmKzm\ KzmKzmKzmLzmLzmLzmMzmMzmM } frm:Test0622 { ; Jim Muth z=p1, c=fn1(pixel)+p2: z=sqr(z)+c |z| <16 } END PARAMETER FILE=========================================

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How to use a .PAR file; Zoom into Jim Muth's Oct 13, '05 FoTD
by Hal Lane 13 Oct '05

13 Oct '05

########################################################### Here is a zoom into Jim Muth's Oct 13, '05 FoTD (Fractal of The Day) with a rotated HITENSN2 (High Tension 2) color map. Jim says this about the original fractal: > the borders between the iteration > bands have broadened into narrow open lanes, with bits and > pieces of something else showing through. I located a place and a color map that brings this 'something else' out as clearly as I could. The 'something else' is shown primarily as yellow features. The features 'showing through' appear to be of similar iteration count (and, therefore, color) to the lightning-like features in the base Mandelbrot set but the 'showing through' features are not lightning-like in form. The fractal only takes 15 seconds to calculate on my Pentium 400 for a 1024x768 (SF7) version of the fractal. How to use a .PAR file ---------------------- For those who don't calculate fractals from parameter files every day I give instructions here: Create the parameter file: -------------------------- - Copy and paste the parameters and formula (below) into a text file in the same directory that Fractint is in. Omit the "START (and END) PARAMATER FILE ====" text. - Name the file F051013A.PAR (F=Fractal of the day series, 05=2005, 10=Oct, 13=13th day, A=First variation on Jim Muth's original parameter file). - Save the file. Make *sure* that the file is in the same directory that Fractint is in. (Although seeing the digits of dates in YYMMDD order may seem strange at first this is done for a reason. Multiple files named with two digits each for the Year, Month and Day *in that order* will sort in correct date order in a directory. The initial 'F' groups these files together.) Calculate the fractal: ---------------------- - Start Fractint and (if necessary) press <Enter> until the Mandelbrot set begins to be calculated. - Press the <@> key to 'Run a saved command set', that is, a parameter file. - Press the <F6> key to get a list of parameter (.PAR) files in the Fractint directory. - Use the arrow keys to highlight the file name F051013A.PAR you created above. - Press the <Enter> key. - Parameter files can contain more than one named group of parameters, so a list of named parameter groups is presented. In this case there is only one set of parameters in the file named: Mandel_Variation-A so you can just - Press the <Enter> key and - The fractal will be generated. - If you like the fractal you can save it by pressing the <s> key while viewing the fractal. Since there are several steps to do in a specific order, if you have not done this before consider printing out this list of instructions -- or making a few quick notes so can get the sequence of operations right: E.g: @, F6, choose .PAR file, <Enter>, <Enter>, ... <s> [Optional -- Set the file name to save the image as:] ----------------------------------------------------- - I like to control the names of some of the fractal images I save. To do this: - While viewing the image to be saved press the <x> key. - Use the down arrow key to highlight the 'Savename' field (eighth field down). - Type in the file name you want to save the image as when you press the <s> key later. E.g: F051013A The ".GIF" will be supplied by Fractint. This is a DOS file name so it must be eight or less characters and contain no spaces. - Press the <Enter> key. - You will be returned to viewing the image. - Press the <s> key. The fractal will be saved using the name you supplied above. Remember, you don't have to settle for the fractal that the parameter file generates! After it is created you can zoom into or out of it, pan around within it and find other interesting images. And different color maps bring out different features within fractals. Enjoy! I would appreciate a quick email from anyone who calculates this fractal to get an idea of interest in variations on Jim Muth's Fractal of The Day (FoTD). I would also be interested in knowing if my instructions of how to calculate a fractal from a parameter file were useful to anyone. Thanks, Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Mandel_Variation-A { ; Hal Lane Oct13'05 14.5 P400 1024x768 ; Zoom into Jim Muth's Oct 13,'05 FoTD ; with a rotated HITENSN2 color map. reset=2004 type=formula formulafile=pastengo.par formulaname=mytestagnew center-mag=-0.174842/1.07723/21.96437/1/67.500000000000\ 0568/-1.23373533611470521e-014 params=1.414213562373/1/1/1.414213562373 float=y maxiter=100 inside=0 logmap=yes symmetry=xaxis sound=off colors=000bJ5<4>UB3S92Q82<3>I10931A00<3>VK0_P0dU0<3>zm0\ <3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A4773A73C<3>56K47M48O3\ 9Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>JklKmmJkj<7>CURBSOAQM<3\ >6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM<5>bmDenBhoA<3>ts3wt1\ sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>AE79D6D\ E6<3>UI9YJAaLBeMCgODjQF<9>tgGuiGvjG<2>ypGzrFzrK<3>yufxu\ kxvqwww<3>rhh`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10\ I10<16>UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<4>jP5\ kQ6jP6<2>dK5 } frm:MytestAGnew {; Jim Muth z=c=pixel, a=flip(real(p1)), b=flip(imag(p1)), d=real(p2), f=imag(p2): z=(d*(z^a))^(f*(-b))+c, |z|<=100 } END PARAMETER FILE========================================= ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.14/131 - Release Date: 10/12/05

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FOTD 13-10-05 (Mandel Variation-2 [NONE])
by Jim Muth 13 Oct '05

13 Oct '05

FOTD -- October 13, 2005 (Rating NONE) Fractal visionaries and enthusiasts: I gave today's image no rating. I could not rate it because I made no effort at all to color it. The image's color palette is the Fractint default palette, which was designed for technical but not artistic value. I chose this default palette because the entire point of today's image is mathematical. Today's formula, which is named "MytestAGnew", has nothing to do with a former governor of Maryland and U.S. vice-president. It is a newer version of the 'MytestAG' formula. Of course, its newness is a relative term, since it was written quite a few years ago. The newer version adds two changeable and basically useless parameters to the earlier version. It turned out that the additional parameters do nothing that could not have been done with the two parameters of the earlier version, so the newer version fell into immediate neglect. But I resurrected it today to create a most unusual variation of the Mandelbrot set. I named today's image "Mandel Variation-2", since it is the second variation of the series. The image multiplies the imaginary square root of 2 by itself to come up, not surprisingly, with real 2. The result, also not surprisingly, is the Mandelbrot set. I'm not really sure where the extra stuff comes from. Most likely it is the result of mathematical imprecision. In yesterday's FOTD I stated that today's image would be most unusual. So what is so unusual about a Mandelbrot set with a few extra circular disks scattered about? It is the nature of those disks. Every disk has a dot at its center. But those dots are not simple dots, they are the Julia sets of the area of the M-set in which they lie. And even more unusual, those Julia sets are filled with disks with dots at the center, and those smaller dots also turn out to be Julia sets with disks at their centers. Like the holy hermit on the mountaintop said to the seeker of truth, it's disks all the way down. As if this were not enough, the borders between the iteration bands have broadened into narrow open lanes, with bits and pieces of something else showing through. The closer to the M-set itself we search, the more detailed the stuff showing through the cracks becomes. It is especially detailed around the mini Julia sets at the centers of the disks. There almost seems to be another fractal hidden below the surface M-set, but there also seems to be no way to bring this second fractal to the surface. All we can do is see hints of the buried fractal and say, oh my! There can be no complaints about the 4-second time required to render today's image. The only complaints might come from those with new-fangled computers that can zip around the internet in the wink of an eye but cannot run a simple DOS-based fractal generating program. But these complaints can be eliminated by a quick visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted ready for download. A bit of sun managed to break through in the middle of the day, on Wednesday here at Fractal Central, making the yard just pleasant enough for the cats to venture outdoors for an hour or so. They ended the day peacefully if not satisfied. But it rained overnight, and this morning is starting chilly, cloudy and drizzly. The cats usually complain about this kind of weather. For me, the day coming up appears to be about average. The next FOTD will appear on schedule in 24 hours. Until then, take care, and look to the fractal side of things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-2 { ; time=0:00:04.67--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAGnew center-mag=-0.5/0/0.7 params=1.414213562373/1/1/1.414213562373 float=y maxiter=100 inside=0 logmap=yes symmetry=xaxis colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SKQSKOSKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } frm:MytestAGnew {; Jim Muth z=c=pixel, a=flip(real(p1)), b=flip(imag(p1)), d=real(p2), f=imag(p2): z=(d*(z^a))^(f*(-b))+c, |z|<=100 } END PARAMETER FILE=========================================

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FOTD 12-10-05 (Purple at Midnight [5])
by Jim Muth 12 Oct '05

12 Oct '05

FOTD -- October 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's resurrected formula is named MytestAH. It is a very simple formula which combines positive and negative exponents of the same absolute value before adding C. Z is initialized at 1 because this is the critical point of functions of this type. The formula draws some very twisted Mandeloids, especially when complex or imaginary exponents are used. I think I used this formula to create interesting midgets before I developed the MandelbrotMix4 formula. In today's image the exponent has been set to 1.0001, a value which is surprisingly close to unity, yet still creates a fractal. I have not checked to see how much closer to unity the exponent value could be set before the fractal nature vanishes. I named today's image "Purple at Midnight". The name is based entirely on the deep purple color palette. And yes, a simple "Purple Midnight" would have been a more poetic name, but I wanted to be different. Actually, even the midnight effect is questionable, and could be missed entirely when viewed on overly bright monitors. The rating of a 5 seems about right for the image. The same effect is easily achievable with the M-Mix4 formula, and I have already posted several FOTD images that looked much the same as today's. Though today's formula does little that is really new, the old formula I have chosen for tomorrow's FOTD is one of the most surprising of all time. Be sure not to miss it. Today's image is quite a bit on the slow side, rendering as it does in 1 hour and 14 minutes. But relief is always nearby on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image has been or soon will be posted, ready for viewing. Heavy clouds, wet ground, occasional showers and a temperature of 63F 17C kept the fractal cats confined to the house all day Tuesday here at Fractal Central. But due to their excessive sleepiness, their complaints were at a minimum. Today is start- ing cloudy again. The ground is still very wet, so I doubt that things will be any better. I plan on a relaxing day. Unfortunately, my plans do not always work out. One thing near certain however is the appearance of the next FOTD in 24 hours. Until then, take care, and know that we have our being in a great fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Purple_at_Midnight { ; time=1:14:09.12--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAH passes=1 center-mag=-0.10008703297023210/+0.095850930075443\ 39/1.950575e+008/1/175/-2.10031613975814047e-008 params=1.0001/0 float=y maxiter=150000 bailout=9 inside=0 outside=atan periodicity=10 colors=000agU`iV_kWZmWYoXXqYWsYVuZUw_Uy_Vx`Ww`WwaX\ vaXubYubYtbZtcZsc_rd_rd`qe`qeapebofbofcngcngdmhdlh\ elhekifkifjjgijgikhhkhhkgglgglggmggmgfmffnffnffnff\ ofeofeoeepeepeepedqedqddrddrdcrdcsdcsdcscctcbtcbtc\ bucbucbua`s`_rZZqYXpXWoVVnUUmTSlRRjQQiPOhNNgMMfKLe\ JJdIIcGHaFF`EE_CDZBCYAAX89W78V67U8AWADXCGYEJZGM`IP\ aKSbMVcOYdQ_fSbgUehWhiYkj_nlaqmctnewogypcwk_vfWuaT\ sYPrTLqOIoKEnFAmA7l68k79k89j9AjABjBBiCCiDDiEDhFEhF\ FhGFgHGgIHgJHfKIfLJfMJeNKeNLeOLdPMdQNdRNcSOcTPcUPb\ VQbVRbWRaXSaYTaZT`_U``V`aV_bW_cX_cXZdYZeZZfZYg_Yh`\ Yi`XjaXkbXkbWlcWmdWndVoeVpfVqfUrgUsgUshVrhVrhWqhWq\ hWqhXphXphYohYoiYoiZniZniZni_mi_mi`li`li`liakjakjb\ jjbjjbjjcijcijcijdhjdhjegkegkegkffkffkgekgekgekhdk\ hdkhdhfbfdadb`b`_`ZZZXYWWXUUWSSVQQUOOTMMSKKRHJQFHP\ DFOBDN9BM79L58K8AMABODDPFERIGSKHUMIWPKXRLZUN_WOaYP\ c`RdbSfeUggVi`L_cPcfSfiWj } frm:MytestAH {; Jim Muth z=1, c=pixel: z=z^p1+z^(-p1)+c, |z|<=100 } END PARAMETER FILE=========================================

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FOTD 11-10-05 (Mandel Variation-1 [7])
by Jim Muth 11 Oct '05

11 Oct '05

FOTD -- October 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: The topic of politics just will not go away. While paying the phone bill yesterday, fractal lady wondered aloud whether she should check the box that would add a dollar to the bill to be used to help teach the children to read. I reminded her that three months ago when we paid the taxes, about one-thousand dollars of the total went to support the city schools that are supposed to teach children to read, and if one-thousand dollars from every tax-payer were not enough to eliminate illiteracy, I doubted that one more dollar from us would help. I guess this proves I'm a non-caring right-wing extremist. Oh well, on to the fractals. At least fractals are non-political. I enjoy doing variations of the Mandelbrot set, and today's old retired formula, which for some reason I named "MytestAG", does a very interesting and unexpected variation. When I wrote the formula I must have been thinking of the fact that an imaginary number multiplied by an imaginary number gives a real number, so in the formula I raised Z to an imaginary power, then raised the result to a second imaginary power to see what kind of real- number fractals would result. Since 2 raised to the power of 1 equals 2, it is not surprising that the Mandelbrot set appears in today's image. What is sur- prising is all the extra decorative stuff that has mysteriously appeared in the M-set. Our old friend has become a Christmas- tree set, decorated with infinite arcs and rings. Its basic shape is still there but all the fine details have been oblitera- ted by the spurious stuff that has appeared. Even more surpris- ing is the fact that these arcs and circles continue unchanged as deep as one decides to search. Of course, in the world of fractals, nothing should be considered truly surprising. The iterated line in today's formula is z=(z^a)^(-b)+c. When I saw this, I wondered why I wrote -b instead of b. After all, I could get the same result by writing the even simpler expression z=(z^a)^(b)+c, and entering -1 instead of 1 as the value of b. Before writing today's parameter file, I made this slight change to the formula, fully expecting no change in the image. But the image did change. It was a small change but a change indeed. This leads me to suspect that much if not all of today's image is an artifact of math imprecision. Switching the changeable parameters also makes a change in the image, which would also seem to indicate that the image is an artifact. But artifact or not, it is a worthy image that rates a 7. I named the image "Mandel Variation-1". The extra 1 was added to the name just in case I decide to investigate other varia- tions, which at the present time I do not expect to do. The render time of 12 seconds is about as fast as a fractal can be. On the most advanced 'state-of-the-art' units, the image, if it runs at all, will likely be completed before the video switches to the chosen mode. Those with handicapped units that choke when the word 'Fractint' is mentioned may see the festive Mandelbrot set by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy, coolish and wet conditions prevailed all day Monday here at the center of the fractal world. The cats dwelling at the center were notably unhappy. Tippy was so unhappy that he leaped into the refrigerator when I opened the door for an after- noon snack, and almost got himself shut in. Thomas slept on the window shelf most all day. Today is starting cloudy with light rain about. The rain is due to continue, so the cats' bad mood will likely continue also. For me it looks like a rather busy day in store. The next FOTD will appear in 24 hours. Until then, take care, and regardless of where one travels, he always finds himself at the apparent center of the universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-1 { ; time=0:00:12.24--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAG center-mag=-0.5/0/0.6296 params=2/1 float=y outside=tdis maxiter=255 inside=0 logmap=2 symmetry=xaxis periodicity=10 colors=000GRUDCWWbN_TJcJFgACkGInLOqRTtWZwadzfir_lj\ TobMrfVmicilleoualsXjqThoOfnKdlFbjB`i7ri2rh6rgArfE\ reIrdMrdPtfOvhOwjNylNznNqlMiIEhLGhOHaVJV`KOgLHmMb`\ EwO7xS6xW5x_4yc3yg2yk1yn1mj4ag6Rd9FaB4ZDIdIViMgoRt\ tVvlJwd7vbCuaHu_LtZQsXVsWZrUcrTgveozqwwmctjLqg2neA\ lcIjaPg_XeYdcWk_PfWIbSBYP4UXHOdUIlfDfgHahLXiPSjTNk\ XIl`DmcFf_H`XJUTLOQNHMPBJXHGcMDkSArX8iSA`NCSJDb50Y\ BFWEEVGETJESLERNDPQDOSDNUDIZUDcj8gzHgoPgeYgVegLdbN\ cZPcURbQTaLVaHX`CZ`8_V9YP9WK9UEAS8AQ3APBF_JKjROtL_\ lGkeRjXajOljFjdPhZZfTheOrgPqhPqiPpjQpkQolQomQopPer\ OWuNMwMDqOGlQJfSMaUOWWRRYUM_WRWZVS`ZPcbLefHhjEjkDi\ lCimBhnAho9gp8gq7fq7fhDh_IjRNkLVdGbZAjS5rM0yG1qH2j\ I3cJ4XJ5PK6IL7BM74MX4Yu4ikN5BwSCqVDkYEf`F`cGVfGQiF\ WlE`nDfqCksBqvBvxqWGmSIjOKgKMdGO`CQY8SV4US1VVD`XOf\ Z_l`jrDKXLKRTKL`KGhKAoK5y9ZyCVyFRyHNyKJyNFyPBpTMhX\ W``eTdoLgyKfrKfkKfdKfYKfS } frm:MytestAG {; Jim Muth z=c=pixel, a=flip(real(p1)), b=flip(imag(p1)): z=(z^a)^(-b)+c, |z|<=100 } END PARAMETER FILE=========================================

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Re: Muth Zoom #2
by JackOfTradeZ 10 Oct '05

10 Oct '05

Sheeesh folks! It was just an impulsive off-the-cuff comment I threw in at the last second. Didn't intend to start a political firestorm here! BTW, I'm the type of person who would have done well in the late 19th century American West, so whatever "wing" that makes me it is. Any comments about the animation? I have zoomed in deeper, there is a nice mini-brot just after E+26, so if I continue on this will classify as a "Universe" viddie! Problem is, I have to up the iteration count to resolve the terminal Brot, and that changes the appearance and colors, so I gotta play with it ... JoTz .

3 3

FOTD 10-10-05 (Fractal Bits [4])
by Jim Muth 10 Oct '05

10 Oct '05

FOTD -- October 10, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's old formula turned up in an old file dated December 1998. As is usually the case with these old formulas, I have no idea what I was trying to accomplish when I wrote it. Most likely, I was simply doing random things to see what would happen. The formula combines Z^n and (-Z)^n, a combination that has no effect when 'n' is an integer, but does strange things when 'n' has a fractional value, such as the 1.05 of today's image. I named the image "Fractal Bits" when I noticed the bits and pieces that fill the frame. There is a definite 2-way symmetry in the scene, but I doubt that a midget of order 1.05 lies at the center of symmetry. The feeling is more one of an endless spiral. The rating of a 4 indicates that I do not think too much of the image, which has no real center of attention. An endless string of images like this are probably why the formula was discarded. The render time of under 4 minutes is mercifully short. But the time it will take to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished image from there is even shorter. Heavy clouds, sopping wet ground and chilly temperatures erased all thoughts of an enjoyable day in the yard from the minds of the fractal cats on Sunday. Yes, cats do have minds. They have minds that work better than the minds of some of my customers. The cats satisfied themselves as best as possible with the tuna treat. Several of my customers are never satisfied with what I give them. Today is starting cloudy, chilly and drizzly -- a rather unplea- sant combination. But at least it's a minor holiday and there is not too much to be done. The next FOTD will appear as it almost always does in 24 hours. Until then, take care, and just think about it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Bits { ; time=0:03:41.30--SF5 on a P200 reset=2004 type=formula formulafile=plusmin.frm formulaname=MandelPMnew passes=1 center-mag=+0.31897491392801590/+0.075633906576199\ 80/951466.7 params=8/1.05/0/0/0/0 float=y maxiter=500 inside=0 logmap=56 periodicity=10 colors=000coNZkLUhKPeJKaIFZGCWFDSEDPDDMBEIAEF9EC8E\ 97DCACFDBIFALI9OK9RN8UQ7XS6_V5bX4e_4ha7fb9dcBbdD`e\ FZfHXgJVhLThKUeKVcJW`JXZJYWIZUI_RI`PHaNHbKGcIGdFGe\ DFfAFg8Fg6V_CiSIxKOuQTsVYq_bnegljljopinmhmkhmiglgf\ kdfkbej`ejZdiWchUchSbgQafNafL`eJ`eHdiTgmckqontzlrx\ jqvhotgnsemqckobjn`ilZgjYfiWdgUceTbdR`bP_`OZ_NbXMf\ VMiTQkSTlRWmQZnQaoPdpOgqOiqQkqRirTgrVerXdrZbr``rbZ\ rdYreWrgUriSrkRrmProNrqMrrUaa`LLg55bDEYLMUSUP_bLfj\ GnrCuzBrvBpsBnpBkmAijAggAddAba9`Z9YW9WT9UQWvQVrOVn\ NVjMUfLUbKUZJUVITSHTOGTKFTGESCDS8CS4BS1AP49N69L89J\ A9HC8FE8DG8BI88E0vn1wlIxjZyhnpemhbl`_kSXjKUiCRi8`h\ 5jg2tf8peEldKhcQdbW`a`Y`VRXPLTKEPE8L92I82G72E62C52\ A528Ou_SvWVwTS5oaAljEjYTpLgu9vzAeqAQhAA`FEbJHdOKeS\ NgXQi`TjeWliZmjTnjNokHpkBqk6qj5lj5hi4ci4_i3Vh3Rh2M\ g2Ig1Dg19aA7XJ6RS4M`3Gi1Bq0Am3Ai69f89bB8ZE8WG7SJ7O\ M6LO6HR5DU5AW46ZQoKKoLFoM } frm:MandelPMnew {; Jim Muth z=p2+10^(-100), c=pixel+(p3) a=real(p1)+1, b=imag(p1): z=a*((-z)^b+z^b)+c, |z| <= 250 } END PARAMETER FILE=========================================

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Re: Muth ZooM #2
by Jim Muth 10 Oct '05

10 Oct '05

At 12:44 AM 10/9/05 -0600, JackOfTradeZ wrote: >His [my own] politix appears 2B way left of me, >but noone's perfect. This is most curious. How far right do you see yourself? Fractal lady considers me a right-wing extremist and you see me as being way too far to the left. Jim M.

4 6

FOTD 09-10-05 (Prayer Wheel [6])
by Jim Muth 09 Oct '05

09 Oct '05

FOTD -- October 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: In the middle ages the politically powerful Catholic Church sold indulgences. By purchasing an indulgence with earthly money, bereaved relatives could buy their loved one's way out of purga- tory and end the soul's suffering. This required the ridiculous assumption that God's favor could be bought with money, but from what I read, the indulgence business, along with obligatory contributions, under penalty of hell-fire, kept the churches and monasteries going rather well. Other religions have similar short cuts to spiritual success. Buddhists had prayer wheels, which worked much like the Catholic indulgences once did. Instead of spending hours saying the proper prayers, a devout Buddhist needed only to spin the right prayer wheel, and the prayer recorded on that wheel would be sent to the creative higher power, which in this case is not considered a supreme superman-like being. For some strange reason, today's image reminds me of a Buddhist prayer wheel. The formula that did the deed is named 'Mytest09'. It appears to have been written around the same time I wrote yesterday's 'Mytest07' formula, and like that formula, the purpose of today's formula, if any, is a mystery. But mysterious or not, today's formula, with its two changeable functions, creates a large variety of fractals. The one active function I used in today's image is called 'cosxx'. (The 'ident' function acts as no function.) Don't try looking up cosxx in a math book because it will not be there. The function is actually a mistake that was made in an early version of Fractint and was kept in the program because it creates some interesting fractals. Today's image was rendered with the outside set to 'tdis', though there is very little to distinguish this rendering from the outside=iter version. The rating of a 6 seems appropriate for today's effort. And the render time of only 9+ seconds can hardly be beat. It will take several times as long to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. But for those with Fractint deprived computers, this might be the only way to view the scene. The rain fell heavily all day Saturday here at Fractal Central, adding up to something over 7-1/2 inches, 190mm, and creating much local flooding, including the Fractal Central basement, which boasts a brand-new puddle of water. I guess we can blame it on the farmers, who for several months have been praying so hard for rain. Now that their crops are lost, God has finally sent the rain. In fact, He has sent so much rain that in addi- tion to losing their crops, some farmers have lost their homes as well. I guess you just can't win when bargaining with a god who, as the nuns told me in school, works in mysterious ways. The fractal cats have far more important things than God to concern themselves with. Their yard looks like a frog pond, and it will be several days before it dries out enough to be stepped on by sensitive cat paws. They are not about ready to start praying, but their mood is as dismal as a swamp, and they are demanding all the extra tuna I can give them. Tuna can do only so much for disgruntled cats however, and better weather will be needed before they are once again themselves. Unfortunately, better weather does not seem to be near. Today is starting very cloudy with showers forecast, and in addition it is much cooler. It looks like a bum day coming up for the duo. For me it looks like another average day. The next FOTD will appear in 24 hours. Until then, take care, and get your vectors straight. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Prayer_Wheel { ; time=0:00:09.69--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mytest09 function=ident/cosxx center-mag=-0.529901/-0.0707615/0.181739/0.6708 params=3/0/1/1/-1/0 float=y maxiter=95 inside=0 outside=tdis periodicity=0 colors=000zhI9JHOG6IPBGbp14g7JUn7N`LJS_CNTcNYXDP7D\ SADVDj9waGlUMaLSRn1`8F3AM8CSCDZSDWM4Qaac1P`9GewFcl\ EaaD_Rp0_bCTQNM7dXA`OGeHFbGE_GX8iQH_JQQ2Qs5Si8U_BW\ QRQMNSKKUJGWHwo1_f9r2cdDWROOps7bkAQdDoW3WXAdsoRhYS\ BcNJWIRO8LIEIqB3qCJZU6LPDJXPFMCF6Ob4Xc2ec0mcB`VLPN\ VDFApQ0PCsqtqswpuzbmjXcVQeVImEGiFFeFEaGTT7LWCysn`h\ XNNBKQDITEFWFxeEJjhJ8sHFiGL_ESQIaZF_PPz7LpAHfD7ErA\ OZl2AcACVIDMQFXcqfgX45u9K`8`5WsghOtYSfNVTq4VqcP4VT\ 9XMwmTkiP_eMOaJSpOOkMKfKGaIvMw_SaOl6IdBS6x6OVoYceY\ YWYSMYMjX8UYCZMcTPYOSSIVMBP`M4FHJGVNMPRKJVIxn3`eAz\ cJiaIT_HVBMMNJtGteMfRSTSJ1KR9hGuTP`IuCFiE2iv5fk8c`\ B`QmeQGHHFNGETGlUW`WQPXLcLgVQYMUPg42_C6SJ9KRD8rdBg\ SkaRvyEaQaPURLncIhWFbOkvPbNNWQLQTJJWH`eUCkzDgnDdbD\ `RtNxZTaeHYYMTRQPKUKFIcEOWDTOIkYGfSEaMhXkD1fX_XNZO\ IV24zF9kGSn4f4vSJ`ph2fe6Xb9N_D1ni7eVT1GPAGLIGHQG4r\ o7lf9gYBbPTcnL`Xil6TdB8ku } frm:Mytest09 {; Jim Muth z=fn1(pixel), a=real(p3), b=imag(p3), c=a+(b*pixel): z=(((z^p1)*fn2(z))^p2)^(-p2)+c, |z|<=100 } END PARAMETER FILE=========================================

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Re: Muth ZooM #2
by JackOfTradeZ 09 Oct '05

09 Oct '05

MuthZooM #2 cominatcha! A Journey from the base Mandelbrot to Jim Muth's FOTD for 9/16/05 at E+21. It is the one shown here: http://home.att.net/~Fractals_3/FotD_05-09-16.html Direct link 4 the file: http://www.fractal-animation.net/muthzoom2_7.zip I chose to do this one cause it's deep enuf 2B interesting, and I like the philo-fractal comments there. However, his politix appears 2B way left of me, but noone's perfect. CYa JoTz .

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Jim, Here is a zoom into your FoTD Oct 8, '05
by Hal Lane 08 Oct '05

08 Oct '05

########################################################### Jim, Here is a zoom into your Oct 8, '05 FoTD with the Leather Gem color map by Damascena Korwen. It shows infinitely many gradually smaller copies of part of the central portion of the figure in your FoTD. You created a nice little formula. START PARAMETER FILE======================================= All_Mixed_Up_3 { ; Hal Lane Oct 8,'05 4:55 P400 1024x768 ; Zoom of Jim Muth's FoTD Oct 8, '05 ; Rotated Leather Gem color map by ; Damascena Korwen. reset=2004 type=formula formulafile=pastengo.par formulaname=mytest07 passes=1 center-mag=0.221543/0.901663/24.47337/1/90/3.8857805861\ 8804789e-016 params=3/0/0/1/2/1 float=y maxiter=1000 inside=bof61 outside=real periodicity=10 sound=off colors=YD0931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0\ UC0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E\ `hFbiGdi<3>JklKmmJkj<8>BSOAQM9OJ<2>6GB5E86G9<9>EWHFYIGZ\ J<2>JdMKfNLhM<6>enBhoAkp8<3>wt1<6>Zf8Vd9SbA<3>DVF<4>CPC\ CNBCMA<2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<3>n\ XFoZGp`GqbGrcGseG<11>hQ7gP6fO6<3>bI2aH1`F0<2>ZD0YD0WC0<\ 8>N50M40L30<2>I10I10J20<13>TA2TA2UB2UB2VC2<3>YE3<3>Q82O\ 61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<15>I10 } frm:Mytest07 {; Jim Muth z=pixel, a=real(p2), b=imag(p2), c=b*(pixel): z=(((z^p1)*(z+a))^p3)^(-p3)+c, |z|<=100 } END PARAMETER FILE========================================= - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.13/124 - Release Date: 10/7/05

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FOTD 08-10-05 (All Mixed Up [6])
by Jim Muth 08 Oct '05

08 Oct '05

FOTD -- October 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: The formula I resurrected for today is named 'Mytest07'. As is the case with almost all these old formulas, I have no idea what I was trying to do when I wrote it. Most likely I was simply playing with numbers. But the formula does make fractals, and today's image is part of one of the more interesting fractals it created during the hour or so I worked with it. I named the image "All Mixed Up". On the surface it resembles a circular comb, but this is not the reason for the name. The image becomes mixed up when a full outzoom is done. Instead of being surrounded by other features resembling circular combs, the image is surrounded by -- well, do the outzoom and see what it is surrounded by. These unexpected surroundings are why I gave the image its name. The rating of a 6 is only slightly above average, but it is all I could honestly do for the image. The good news is that the image renders in only one minute. Better news is that the fully rendered GIF image is available for imminent download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Steady rain kept the fractal cats confined to quarters all day Friday here at Fractal Central, but they took their confinement stoically, and satisfied themselves with an extra treat of tuna in the afternoon. This morning is starting with continued heavy rain. Over 5 inches, 125mm, has already fallen and it is still raining heavily, which will make the day no better for the duo. For me it looks like just another average day coming up. The next FOTD will appear in 24 hours. Until then, take care, and get your fractals in a row. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_Mixed_Up { ; time=0:01:05.04--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mytest07 passes=1 center-mag=0.0533504/0.0177928/0.5627897 params=3/0/0/1/2/1 float=y maxiter=1000 inside=bof61 outside=real periodicity=10 colors=000cU0LmzuW2oJHZ3PU8R_CT000Tib`__hQXKUjJXnX\ agif`vkUeQVQ4W2sP5rU7qYApaCoeFniHmmJmqIfnI`kIUhHOf\ HHcHB`H5ZN7YS8YX9YbBYgCYlDYqEYIq0LaLONeQ8yMLlJX_Fh\ NCtBJmJQfQW_XbTdhMkoFru8ynCxgGw`KwUNvNRuGVu9Zt3atS\ otcYg7E4MFD`GMSD8cFKuNasKZqIXrcMqYPpSRoMTg46j8FmCN\ Y0uc6liBcHf0Q_8ZTGgMO_JbeI_jHXsWSqOUK5ES8J_BNgER2B\ CFbsSVjcNbTcnZYidSdjM_0fsQTfOdoVYiaSdhM_gxQilSkaTm\ RUc77fADiCJlEP73XM8W`CVArRVZTGC4YEIU6udBgqSzHYtQTm\ ZPggK`7aYURWG5jP8fYBbfEZWoizAltDcieplTesjUq_VpQVmu\ 6n`JOqcByZWbXCqjEwpRhhcUagGUXBMfERPBIWDMbEPiFSYcMf\ SReR8iNGlJOFiGPaKYVOfNSQHLZGPgGS0w8QaKzh_Xq6cdFiSN\ FTxYMir38pAKb_KhPmkMfmJ`PaVbRVdB9hDHlFO9WqKSkVOeeK\ _dgohYhlPaC3r`WAdSGhOLlKQGwtPlmYagfR`1SYRMWCW0QQBb\ LLxzjunfsbbqRZx2uu6ns9gqD`p`ZoUXoNWYpBbfGfYLkPQXIQ\ 8dMJYPUSRdMTdDAN1PV5Ra9ShDUn`1oQGj68mBK4NbKK__IX72\ oU9dYX8fOKKAwSCo_DhgFa3yb } frm:Mytest07 {; Jim Muth z=pixel, a=real(p2), b=imag(p2), c=b*(pixel): z=(((z^p1)*(z+a))^p3)^(-p3)+c, |z|<=100 } END PARAMETER FILE=========================================

2 1

Fractint version 20.04 patch 2
by Jonathan Osuch 08 Oct '05

08 Oct '05

The executable file for Fractint version 20.04 patch 2 is now available on the developer's web site www.fractint.org. The Xfractint source is also available. What's new: Fixed the display coordinates so they won't change, after an image had been zoomed, when the maintain screen coordinates parameter is set to yes. Fixed the corner parameter screen and image parameter screen so that rotating and/or skewing now doesn't get reset when changes are made. There are no diff's available yet. I'm working on it. The just around the corner version 20.5 is intended to be an official release. If you see problems with the current zip/tar files, please let me know so that I can fix them. Jonathan

3 5

Re: FOTD 06-10-05 (Harmageddon [7])
by Jim Muth 07 Oct '05

07 Oct '05

At 12:05 PM 10/6/05 -0500, Paul Lee wrote: >Do you have enough of these [old, unused] formulae >so that this month's theme could continue on till >the end of the year (or longer)?? :-) I have virtually an endless supply of old forgotten formulas that I have never used as a source of FOTD images. The problem is finding those that were discarded prematurely. Many of these old formulas merely duplicate things that later formulas such as MandelbrotMix4 do better. Others are steps on the way to the final formulas that explore the oblique slices of the 4-dimensional Julibrot. But the remainder are actually useful formulas that have never been given a fair chance. I don't know how many of these potentially useful formulas I have in cold storage. The only way to find them is to try them out one at a time, and see what happens. This takes time. But I suspect, that I will find enough to last to the end of this month at least. For now, it looks like the theme of old resurrected formulas will continue indefinitely. Jim M.

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FOTD 07-10-05 (Almost an M-set [5])
by Jim Muth 07 Oct '05

07 Oct '05

FOTD -- October 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's resurrected formula was never quite as dead as some of the other formulas in the jim.frm file, which is where I store the formulas that I have almost but not quite forgotten. I have already used it a number of times to create FOTD images. But like most of the other half-forgotten formulas, I have no idea what I was trying to accomplish when I wrote it. Actually, this particular formula holds quite a bit of potential. It could be the most under-appreciated in my vast collection of near-forgettable efforts, and certainly deserves a place in my active allinone.frm file. With the inside set to number zero, the formula draws nothing but empty circles, regardless of how the parameters and function are tweaked. But when the inside is set to an active fill, such as the 'bof61' of today's image, the empty circles are filled with strange and often totally unpredictable fractal patterns unlike anything seen in normal inside-outside images. The bof61 fill colors the pixels according to the number of the iteration that takes that point closest to the origin. Today's image, which consists entirely of 'inside' material, is named "Almost an M-set". While studying it, I noticed a shape in the center that looks like it is trying to be a midget Mandel- brot set, but is not quite making it. It comes close enough however to be the source of the name for the entire image. Trying to rate the image proved more difficult than expected. When I first saw it, I thought, wow this is great -- it rates an 8! Then I looked again and thought, now what's so unusual about it -- it's just another fractal like I've seen hundreds of times before, and it rates only a 3. I finally decided on a rating of an average 5. That way I could not be too far off. The render time of 4 minutes is acceptably fast for an average image. Simply copy this letter into your Fractint directory (folder) with a .par extension, and run it as you would any other parameter file. If something goes wrong, do not panic. Simply go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. The clouds hung heavy all day Thursday here at Fractal Central, with short light showers at frequent intervals and a high temperature of 77F 25C. Though only 0.04 inch (1mm) of rain fell all day, the grass stayed wet, making it just another rainy day from the cats point of view. They passed the day on their shelf by the window, wishing it were a better day. Today is starting with flood warnings in effect. This does not bode well for the cat duo. For me things look quite average. The next FOTD will appear in 24 hours. Until then, take care, and where was today's fractal hiding when the (theoretical) big bang happened? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Almost_an_M-set { ; time=0:04:12.66--SF5 on a P200 reset=2004 type=formula function=cotan passes=1 formulafile=jim.frm formulaname=Mystic2 center-mag=0.0482742/5.55112e-016/11.46736 params=-1/3.2/-2.4/-1.6/4.5/0.0025 float=y maxiter=95 inside=bof61 periodicity=0 colors=000ebLaTHOHmQIZ1kYOKdSNiVVUD4FK9EREEddQaXMz\ _IjcWl55h98dCA`GCj3Qe9MaEIe7ZaRB`PC_NDZLELOZRaLYVm\ YRaYNQs82_cmZXaYQQsiT3tpcVMaRJ_NG4N7dbgDZuzqWk_Ntj\ 1aVl`Sc_PVZMMijBe3Rc7NaBK_FHzPfIYcMUXQQRUMKKc6PX9U\ QC9MwGLkMK`SJPSFBUHCWIDLknQaaUSQ7AmGDaPGQGA61T1IO8\ nmkeYV1vSR7cUBVWFMPJRSJMVJI_sJZfHYVF84eF8ZLCSSGL3k\ Hayi_jZZXOfdxcZlaU`_OP35qEAcOFRwZ9nTBeODRXjTTaVQUX\ MMm5JIm`MeVQYPUQJdfAb`B`VCZPDjh9TJPc7y`DaqwNjiKcWH\ puqZX6_26Z78ZBAYFCjeJcUGuuOmhKeWHerWbfQ_VKZSIYPGYM\ FMVQOrGSfFVVEQGHWy_BZcKkPTxBSpQRhdRareYVsV7fPBVJFJ\ DJQFRWHZaJe_JWcILZJNk`1dS8b9jOCwREkTG`WIPwdvpZjjU_\ cOPYL6tsL`Mx_LlZK`YJPLJUPJQSJMVJIJYwNUkRQ`VMP8PMQV\ wSSkUP`WMPm0Zi5TeAOaFJ9KA5CcKGR6GtKIZuoTofPiZLcRH3\ 5ZGanMVaSPQz0ir5akAUdFMFyxPc`HMTKUbROQrf`l`VgVPbPJ\ ckfacZ`XSZQLjgAcVCQFMTHJWIGOfCSZDVREaQN`OK_MIZKGQ`\ ETVEWPEZeBPlISbGVTFmvSilO } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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FOTD 06-10-05 (Harmageddon [7])
by Jim Muth 06 Oct '05

06 Oct '05

FOTD -- October 06, 2005 (Rating 7) Fractal visionaries and enthusiasts: The old discarded formula I found for today is named 'cascade'. I have no idea where the formula came from or what it is supposed to do, but with no changeable parameters, it could not be expected to do much. I rendered today's image with the inside set to 'fmod' and the proximity set to the excessive value of 1000. The result was rotated 90 degrees and stretched slightly in the horizontal direction to produce the final result. The name "Harmageddon" is a play on the word 'armageddon', which refers to the final decisive battle that some religions expect to soon take place between the forces of good and evil. While yesterday's image was held back by its coloring, today's image is raised a full point. There is really nothing in the image worth a rating of 7, other than the coloring. The render time of 2 minutes is fast enough, but the download of the image is even faster. That download may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy skies that started the day on Wednesday here at F.C. turned sunny by afternoon, letting the temperature rise to 79F 26C and giving the fractal cats ample time in the yard. Today is again starting cloudy, and I doubt that we'll see any sun this afternoon, but the cats are cautiously optimistic. It takes little optimism however to believe that the next FOTD will appear in 24 hours. Until then, take care, and see galaxies. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Harmageddon { ; time=0:02:12.97--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=cascade passes=1 center-mag=3.40153/0/0.1820513/1.5625/90/3.886e-016 float=y maxiter=101 inside=fmod proximity=1000 symmetry=none periodicity=0 sound=off colors=000rhSkdWd``XXdQTiJPmCLqHKpLJpPJp2Nj4Qm6Sp7\ Ur9XuBZxC`z9fx6kv3pt1usCklNbeYUZhLSdJWaI_YGcVFgSEk\ OCoLBsIAwKUZMmBJZGHKKF5OH4UJ3ZL3cM2iO2nQ1sR1xV7uYC\ r`IocNmgSjjYgmbdpgbo`ZnUWnOSmHPmBMdIXWOfOUpU_k_dge\ ibkoZqtUvyQmwSeuTXsUPqWGoX8nYWXhsFsIi_OhUTgOYfIbeC\ edJhcQkbXnacq`js_q3Zv2fq1nm1viEtmRsqcquopyqnxrmxsk\ wtjwvhvwgvxeuyduW6LZHIaSFcaCfl9hv6guAgtEfsIfrLeqPe\ pTepWFeAFfGFfMFgSFgXHhSIhOJiKKiGMiCNj8Oj4Pj0Uc6ZXB\ cRGhKMmERr7Wv1`r6ZoAXlEViITfMRcQP`UN`UOaUPoCUs4UkB\ MdHFYN8ZP7_R7_T7`U7`W7aY7aZ7RRDGJIIKGKLFMMEONDQOBS\ PAUQ9WR8VNCUJFTFISBLS8OColImnOlpUkr_itehvjgwmcmo`c\ rXUtULoXIj_GebEpVSzNdvSbrW`n`_jdYfiWbmVZrTWvSSpPOj\ MKdJHZGDTD9NA6I8CMEIQKOUPUYV_a_eeekijmhhnhfogdpgcq\ farf_sfZl`_eV`ZPaSJbLDcE7d81dB5`D9YFDUIHRKLNMPKLTJ\ KWIJZIIaHHdHOgKViM`kPgnRnpUtrWbgMLYD3O4DE8MHBWEFdB\ In8Mw5Pr6Nm7Mi7Ld8J_9IW9H } frm:cascade { ; z=c=pixel: a=sqr(z)+(c-1)*z-c b=3*sqr(z)+c-1 z=z-2*a/b, .000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

2 1

FOTD 05-10-05 (The Same Root [5])
by Jim Muth 05 Oct '05

05 Oct '05

FOTD -- October 05, 2005 (Rating 5) Fractal visionaries and enthusiasts: For today's flashback I chose the 'FrankJim04' formula, a formula I wrote quite a while ago, played with a few days, then promptly filed away and forgot about. Unlike nearly all of my formulas, it has no changeable parameters. When a real number is raised to a power and the same root is extracted, common sense tells that the result is a return to the original number. But complex numbers are strange. Some complex functions, such as the logarithm function, are multi-valued. This means that the calculation might take a wrong turn, and we might not always get back to the exact place where we started. The iterated expression in today's formula is ((z^z)^(1/z))^2, which takes Z, raises it to the power of Z, then to the power of 1/Z, and finally squares the result before adding C. One would expect that this would be just a more complicated way of calcula- ting the Z^2+C Mandelbrot set, but those multi-values do strange things. The parent fractal of today's image bears some resemblance to the Mandelbrot set, but it most certainly is not the M-set we know so well. Some parts of the original set are missing, and a good bit of extra stuff has been added, while the iteration bands have broken apart into total chaos. Today's scene is located in the extra stuff found in the East Valley of the parent almost-M-set. I named the picture "The Same Root" and rated it at a 5. If I had put more effort into the coloring, I might have produced a 6 or even 7-rated image. But the work has been a bit on the heavy side lately, and I did not want to fall behind, which would mean another of those much-hated FOTD hiatuses. The render time of 9 minutes is a bit slow, but the finished image is available for perusal and downloading on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung tough all day Tuesday here at Fractal Central, even dropping a few small drops of rain from time to time. But the temperature remained around 75F 24C most of the day, which is right in the comfort zone of the cats. Despite the dampness they spent several hours in the yard, and needed little tuna to end the day happily. Today is starting about the same. The next FOTD will appear in 24 hours. Until then, take care, and open your eyes to what lies before them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Same_Root { ; time=0:09:04.26--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=FrankJim04 passes=1 float=y maxiter=950 center-mag=+0.25597317684299750/-0.000200259583298\ 25/5.400547e+007/1/-162.5/-1.00481606299385184e-008 inside=0 outside=tdis periodicity=10 colors=000CpkArl8tl6ulsNirLfqKdpJapI_oHXnGVmFSmEQl\ DNkCLjBIh9EjAGkAIlAJmBLnBNoBOpCQrCSsCTtDVuDXvDYwE_\ xEayEbvGasIapKamMajNagPadRaaT`ZV`WW`TY`Q_`Na`Kb`J`\ YI_WHYUGXRFWPEUNETKDRICQGBPDANB9M95N49L7hKAcJDZHGW\ GJSFMWEP_CScBVfAYj8`n7cr6fy2lu5iq7fnAdjCagE_hHaiKc\ jNdjQfkThlWimZkmalndnogppjqpmsqpursvsvxsxymtthppcl\ lYhhTddO``I_WJXXKVXLTYMRYNPZOMZPK_QI_RG`X1eRE`LQXG\ bSAnO5zK7xN8wQ9vSAuVBtYCs_DrbEqeFpgGoj9umHnlOhkWaj\ bWijPhqJgxDftHcpKalNZhQXdUV`XSY_QUbOQeLMiJIlHEoEAr\ C7uACvIGvQLvYPweUwmYwtYfqYRnb7pYBkUEgPHbLKZHNVLJ`O\ FeJ9jRCjZFjfIjpJlmLjkNhhPffRdcTbaV`ZW_XYYU_WSaUPcS\ NeQKgOGiLIhNKhPMgROgTQgVSfXUfZUtcWf_XTWYFSpaSZ1Pa3\ Nc5Me7Lh9KjBJlDIoFHqHGsJFuLErKHoKKlKNiJQfJTcJW`JZY\ IaVIdSIgPHjMHmJHpGHsJJpMKmPLkSMhVNeYOc`P`cQZfRWiST\ lTRoUOrVLuWJxXGzYEwZFuZGrZHpZImZJk_Kh_Lf_Mc_Na_OZ`\ PX`QU`RS`SP`TN`UIkjGmkEok } frm:FrankJim04 {; by Frank and Jim z=c=pixel: z=((z^z)^(1/z))^2+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 03-10-05 (Brainbow [7])
by Vortex Swirling 04 Oct '05

04 Oct '05

The formula for 03-10-05 seems to have gotten cutoff on the FOTD web page. If you use it as it is, it creates a different image. It reminds me of what astronomers call pillars of venus. http://rogerkaufman.mystarband.net/FRACT001.GIF Just in case it gets corrected soon, this is what it looks like to produce this fractal. I added the last bracket. Brainbow { ; time=0:07:26.60--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TestZero function=cotanh passes=1 center-mag=-7.88766/0/0.07092536/1/-90/0 params=2/0/3600/0 float=y maxiter=750 inside=atan periodicity=10 colors=0000AM0AM0BN0BN0CO1CO1DP1DP1EQ1ER1FR1FS1GS1\ GT1GU1HU1HV1IW1IW1JX1IY1KY1JZ1KZ1J_1K`1J`1Ka1Jb1Kb\ 1Jc1Kc1Kd1Me1Le1Of2Mg2Qg2Nh2Qh2Oi2Qj2Pj2Qk2Pl2Ql2P\ m2Pn2Pn2Po2Po2Pp2Pq2Pq2Pr2Ps2Ps2Ot2Ot2Ou2Ov2Ov2Ov2\ Ox2Ov2Oy3Nw3Nz3Nx3Nz3Nx3Nz3Nx3Nz3Ny3Nz3Nz3Nz3Mx3Mz\ 3My3Mz3My3Mz3Mz3Mz4My4My4My4My4Ly4Ly4Ly4Ly4Ly4Ly4L\ y4Ly4Ly4Ly4Ly4Ly4Ky4Ky4Ky5Kx5Kx5Kx5Kx5Kx5Kx5Kx5Kx5\ Kx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx6Jw6Jw6Iw6Iw6Iw6Iw\ 6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Hw6Hw6Hw6Hw6Hw7Hv7Hv7Hv7H\ v7Hv7Hv7Hv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv8Fv8\ Fv8Fv8Gv8Gv8Hv8Hv9Iv9Iv9Jv9Jv9Kv9KvALvAMvAMuANuANu\ AOuBOuBPuBPuBQuBQuBRuCRuCRvCSvCSvCTvCTvCUvDUvDVvDV\ vDWvDWvDXvEXvEYvEYvEYvEZvEZvF_vF_vF`vF`vFavFavGbvG\ bvGbxGcuGcvGdvHdvHevHewHfwHfwHgwIgwJhwKhwLiwMjuNjw\ OkwPlwQmwRmwSnwTowUpwVqwWrwXswYtwZuw_vw`wwawwbwwcw\ wcwwcwwcwxcwwcwwcwwcwvcwv } frm:TestZero { ; Jim Muth z=p1, c=pixel: z=z*c^fn1(z), |z| } -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.9/118 - Release Date: 10/3/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.9/118 - Release Date: 10/3/2005

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FOTD 04-10-05 (In a Spin [6])
by Jim Muth 04 Oct '05

04 Oct '05

FOTD -- October 04, 2005 (Rating 6) Fractal visionaries and enthusiasts: When I brought up an old formula named 'Crazy Midgets', I thought it looked strangely familiar. I was searching for a formula I have hidden somewhere that draws small Mandelbrot sets arranged in circles, but today's formula is not the one I was after. The 'Crazy Midgets' formula is actually an early version of the MandelbrotMix4 workhorse formula, and today's image could just as easily have been created with that formula. To produce the parent fractal, 0.2 part of Z^(3) was combined with Z^(-2) and C was added. This parent consists of a somewhat distorted central Mandelbrot set surrounded by a scattering of debris. Today's scene is located on the negative X-axis, in a small cut-off pile of debris. Little more need be said about the image, which speaks for itself. (It's a talking fractal!) The name "In a Spin" has little relation to the image, which holds nothing in the shape of a spiral. It is simply a phrase that came to mind as I was studying the fractal in search of a name. The rating of a 6 is just enough above average to make the effort of running the very fast parameter file worthwhile. The image is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted in completed form. Genuinely perfect weather prevailed all day Monday here at Fractal Central, which kept the cats on their best behavior. The cats are happy, but except for the grape growers, the local farmers are starting to complain about the dryness. Today is opening with a low overcast and fog, but it is still dry. We shall see how the day goes for the cats. But regardless of how it goes for them, the next FOTD will appear in 24 hours. Until then, take care, and search for the real thing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_a_Spin { ; time=0:00:36.80--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=CrazyMidgets logmap=34 center-mag=-1.685045559356637/0/1.140448e+008 params=1/-2/0.2/3 float=y maxiter=290 symmetry=xaxis periodicity=10 inside=0 colors=000G8GA5Q52_BETHQMNaFTm8my2Zn4Zd5ZV7PL8TBAZ\ 1BX3EW5HV7KU9MTBPSDSREUXGYaHagJelKirMmwNplS_aWJR_3\ McXHfzRar_YjiTbrPWlUSgZObcKXgHSlDNq9Iu6Qt6Xt6dt6kt\ 6st6zt6qmShflfdjdbhc`faZd`XbWZcS_cNadJbdEdeAee8ah7\ Zk6Wn4Tq3Qt2Nw1Ky9GxGCwO9vV5ua2tOKkBabLOQUBEaKGiSH\ p_IjXOdVUZS_TQdXMd`JddGdgDdk_inumcmgUmaKmWAmQCmVEm\ ZGmbImfKmjMmnOrrQwvSzkUz`WzQYzFZz4VzBSzIOzPLzVIzTG\ zSDzRBzQ8zP6zO4zN5zM6zL6zK7zJ7zJNzGTzLZzQdzUfzXhz_\ izbbzlfzgjzcnz_rzWoz_mzckzgizkgzodzgaz`ZzUWzNTzGQz\ 9Oz2LzBJzJHzRFzZDzfKziQzlWzoazrgzumzxkzrizlgzfezac\ zWazQ`zLWzRRzWMz`HzeDzjFzfHzbJz_NzYQzXTzWWzVZzTazS\ dzRgzQdzSazUZzWXzYPzfHzn9zvEzcIzMMz4Tz6_z8fzAmzCsz\ EozIlzLhzOezRgzVhzZizbkzelzimzmnzplzokzojzoiznhzng\ znfznazgXzaTzWOzPJzJFzDRzHbzKnzNyzQkzTZzWMzZNzTNzO\ NzINzDJzHGzLDzPAzS9zO9zK8zG8zCAzICzODzTFzZHzdIziKz\ oLztIznFzhCzb9zX7zRCzNGzK } frm:CrazyMidgets {; Jim Muth c=pixel, 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: z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: Warren, fractal movie
by Russell Walsmith 04 Oct '05

04 Oct '05

Hey, he made a nice, rather extensive animation by saving 244 frames one at a time. http://www.blucowtech.com/mydoc/Pics/fract/fract-mov/ With this kind of devotion, he is worthy to be your disciple or protege. http://www.blucowtech.com/mydoc/Vids/fract/ ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: Warren, fractal movie Date: Sat, 1 Oct 2005 09:16:05 -0600 > > "good job warren" ? > > What'd he do? There was nothing in my fractint list server email, I think > the file was "scrubbed". > > Sounds like he did an exponent animation. I got that beat - check out > > http://www.sonic.net/~jot/n2p.zip > > > And, as he asked - how do this without rendering the frames individually > manually? > > Use my animation program! > > Stay Cool. It's gonna get hot soon. Really hot. > > JoTz > > . > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Fractal web site
by David Dollevoet 04 Oct '05

04 Oct '05

My fractal web page is updated for 2005-10. http://www.djd-fractal.com David Dollevoet

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FOTD 03-10-05 (Brainbow [7])
by Jim Muth 03 Oct '05

03 Oct '05

FOTD -- October 03, 2005 (Rating 7) Fractal visionaries and enthusiasts: For today's FOTD we break out another long ago and far away formula, this one with the rather uninspiring name, TestZero. As is the case with most of these old formulas, I have forgotten what I was trying to accomplish when I wrote it. But in many cases there is no loss, for there never was a goal in mind. The iterated expression, z=z*c^fn1(z), is simple enough, and the fractals it creates are mostly unimpressive, but once in a while, with the aid of an intelligent human, a notable image appears. Today's image, which shows the entire fractal rotated -90 degrees, is one of those rare cases. The image consists of a blue rainbow arching over a cold land- scape on an alien planet somewhere on the other side of the galaxy. I named it "Brainbow" in recognition of the part a human played in its creation. It is different enough to earn a non-inflated rating of 7. The render time of the included parameter file is 7-1/2 minutes on my cranky old machine. This time will be cut to a minute or two on the newest units that can actually run the file. In any case, the finished GIF image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With total sun and a high temperature of 79F 26C, the Sunday weather was totally perfect here at Fractal Central, keeping the cats perfect also. My day was uneventful. Today is starting as near perfect as a day could be, leading me to expect another perfect day in all respects. The next FOTD will appear in 24 hours, but take note -- absolute fractal perfection is unlikely. Until then, take care, and don't get over-iterated. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Brainbow { ; time=0:07:26.60--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TestZero function=cotanh passes=1 center-mag=-7.88766/0/0.07092536/1/-90/0 params=2/0/3600/0 float=y maxiter=750 inside=atan periodicity=10 colors=0000AM0AM0BN0BN0CO1CO1DP1DP1EQ1ER1FR1FS1GS1\ GT1GU1HU1HV1IW1IW1JX1IY1KY1JZ1KZ1J_1K`1J`1Ka1Jb1Kb\ 1Jc1Kc1Kd1Me1Le1Of2Mg2Qg2Nh2Qh2Oi2Qj2Pj2Qk2Pl2Ql2P\ m2Pn2Pn2Po2Po2Pp2Pq2Pq2Pr2Ps2Ps2Ot2Ot2Ou2Ov2Ov2Ov2\ Ox2Ov2Oy3Nw3Nz3Nx3Nz3Nx3Nz3Nx3Nz3Ny3Nz3Nz3Nz3Mx3Mz\ 3My3Mz3My3Mz3Mz3Mz4My4My4My4My4Ly4Ly4Ly4Ly4Ly4Ly4L\ y4Ly4Ly4Ly4Ly4Ly4Ky4Ky4Ky5Kx5Kx5Kx5Kx5Kx5Kx5Kx5Kx5\ Kx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx6Jw6Jw6Iw6Iw6Iw6Iw\ 6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Hw6Hw6Hw6Hw6Hw7Hv7Hv7Hv7H\ v7Hv7Hv7Hv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv8Fv8\ Fv8Fv8Gv8Gv8Hv8Hv9Iv9Iv9Jv9Jv9Kv9KvALvAMvAMuANuANu\ AOuBOuBPuBPuBQuBQuBRuCRuCRvCSvCSvCTvCTvCUvDUvDVvDV\ vDWvDWvDXvEXvEYvEYvEYvEZvEZvF_vF_vF`vF`vFavFavGbvG\ bvGbxGcuGcvGdvHdvHevHewHfwHfwHgwIgwJhwKhwLiwMjuNjw\ OkwPlwQmwRmwSnwTowUpwVqwWrwXswYtwZuw_vw`wwawwbwwcw\ wcwwcwwcwxcwwcwwcwwcwvcwv } frm:TestZero { ; Jim Muth z=p1, c=pixel: z=z*c^fn1(z), |z| <p2 } END PARAMETER FILE=========================================

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FOTD 02-10-05 (Wind-blown Pyramid [5])
by Jim Muth 02 Oct '05

02 Oct '05

FOTD -- October 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: One plus one equals two. That simple fact is true, at least in our universe. Russell proved it in his masterwork almost a century ago while trying to demonstrate that math is completely self-consistent. (Godel soon proved him wrong.) But would one plus one equal two in every possible universe? Who knows? And I'm not so sure it's true everywhere in even our own universe. After all, according to relativity, the velocity of light added to the velocity of light equals the velocity of light. If the velocity of light equals X, then X+X=X, (or one plus one equals one). I guess it's all relative to how one and one are added together. The rating of today's image is also relative. I created it with a formula I wrote around 8 years ago and named TowerExp02. But I soon put the formula into cold storage. Yesterday, when I opened it for the first time since then, I found why I had put it away. Today's image consists almost entirely of inside material made visible by the bof61 inside fill. Relatively speaking, the image is average, and therefore rates a 5. The name "Wind-blown Pyramid" came about when I imagined one of the Egyptian pyramids in a sandstorm. Of course, pyramids made of solid stone do not bend in the wind like today's fractal pyramid is doing, but neither do fractals obey the laws of the physical world. The included parameter file renders in 3-3/4 minutes on my worn- out 9-1/2 year old machine with the exhaust fan that must be kick started by hand. On the newer XP units, it it runs at all, it will finish in a minute or so. But all rendering problems may be bypassed by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect weather on Saturday here at Fractal Central was mirrored in the absolutely perfect behavior of the fractal cats. They are behaving absolutely perfectly so often lately that I am beginning to wonder what has happened to the Thomas and Tippy I knew for almost 15 years, the cat duo who once frantically chased each other all around the house and yard. I rather miss the thunder of cat feet dashing up and down the stairs, and the thrashing of the bushes as they dash about after each other. Oh well, the weather can't remain perfect forever, and cats can't be good forever. The next FOTD will appear in 24 hours give or take a few. Until that wondrous moment of enlightenment arrives, take care, and seeking truth is one thing, recognizing it when one finds it is quite another. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wind-blown_Pyramid { ; time=0:03:42.18--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TowerExp02 passes=1 center-mag=-2.11560313779256900/+0.337148844672286\ 90/105.1995/1/-127.5/-8.39280034359290994e-013 params=0/0/0/0/1/0 float=y maxiter=95 inside=bof61 logmap=yes periodicity=10 colors=000XLGVOEUQDSTCRVBQYAO_9Nb8Md7Kg6Ji5Ik4MlAP\ mFSnKWoPZpUaq_erdhszktzntsirzepzanlYPUUPUQheMfbId`\ EcZGU`ITaL50M50OaeQ50S50U5hWaiY50_Q0a`mLZUL`be_kfZ\ hgZehYbiY_jXXkXUVWRVWOnVLVVI4T_7UXAVVDWSGXQJXNMYLP\ ZIS_GV_DY`B`a8cb6fb4dYAcUGbPMaLS`GY_CbZEaYG`XI_WKZ\ VMYUOXTQWSSVRUUQWTPYSPZRQ`TRbUSdVSf0ThXUiYVk_Vm`Wo\ aXqbYscYtdWpfVlhUhiTekSamRYnQUpPRqSTqUVqWXqYYq__qb\ aqdcqfdqhfqjhqliqajhSk_IlR8mI0n90oA0pB0qC0rD0sE0tF\ 0uG0vG0wH0xI0yJ0zK0zL0zM0zM2xQ5sT8oWAjZDfaGadIYhLT\ kOPnQKqTGtWBwY7zZ8yZ9xZAw_Aw_Bv_Cu`Dt`Dt`EsaFraGqa\ GqdPmgXijefmmbpu_nqYmmWliUkeTjaRhYPgUNfQMeMKdIIcFH\ aHI_JIYLIWNIUPISRIQTIPUIRTLSSNUSQVRSWQUYQXZPZ_P`XO\ aVNbSNcQMdOMdLLeJLfHKgEJhCJhAIi7Ij5Hk3Hk6Ik9IkBIkE\ IkHIkJIkMJkOJkRJkUJkWJkZJk`JkaQjbXicbhdigepfevefhi\ fWlgJog6riGgkQYmZNohDpq3lm5hj6dg7`d9XaAUZBQWCMTEIQ\ FENGBKH8MJ5NL3ON0PPXLIXLH } frm:TowerExp02 {; Jim Muth z=pixel, c=p2+(p3*pixel): z=z^(z^(z+p1))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: Warren, fractal movie
by JackOfTradeZ 02 Oct '05

02 Oct '05

"good job warren" ? What'd he do? There was nothing in my fractint list server email, I think the file was "scrubbed". Sounds like he did an exponent animation. I got that beat - check out http://www.sonic.net/~jot/n2p.zip And, as he asked - how do this without rendering the frames individually manually? Use my animation program! Stay Cool. It's gonna get hot soon. Really hot. JoTz .

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FOTD 01-10-05 (Double Spiral [6])
by Jim Muth 01 Oct '05

01 Oct '05

FOTD -- October 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: We have come to the end of the series of scenes in the fractals created by the square root of two. The series was neither a great success nor a great failure, but it did contain a few interesting images. It is now a new month and time to start a new theme. For the month of October I have decided to unpack some of the formulas I wrote a while back but then stored away and forgot about. For today's FOTD I unpacked a formula I wrote around 10 years ago and named 'ManZpwrAbs'. I have no idea why I wrote it or what it is supposed to do, though I am certain it has nothing to do with body-building. The images it draws have a kind of 'all look the same' appearance, but some of them are worth at least a second glance. At first glance, the parent fractal of today's image looked like a giant bat flying west. Then I gave it that second glance, and noticed several interesting areas. Zooming into one of these areas, I found total chaos. I switched the 'outside' to 'fmod' with a 'proximity' factor of 1.5. The resulting fractal was a twisted, stretched and skewed chaotic mess, but it held areas of promise. By untwisting, unstretching and unskewing a small area of the image, I found today's scene, an image that is just chaotic enough to be interesting. The large spiral on the right is actually two spirals, one winding clockwise, the other, counter-clockwise. This "Double Spiral" inspired the name. The rest of the scene is strangely unpredictable, with features scattered about haphazardly, almost like a trash dump in the 'real' world. Some of these smaller features might make better images than today's, but at this time I will not check. There are too many old forgotten formulas to work through. The rating of a 6 is perhaps a bit high, but I decided to do myself a favor and treat myself to a slightly above average FOTD rating. There can be no complaints about the render time, which is a speedy 1-1/2 minutes even on my 9-year-old broken- down P200 machine. But my tired old computer can at least run Fractint, which is more than some of the newer units I have checked can do. Unfor- tunately, some fractal fans have one of these new-fangled machines, and are therefore Fractint-deprived. But the cure is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-rendered image has been posted. Friday was sunny but a bit chilly here at Fractal Central. The high temperature of 68F 20C fell within the cats' comfort zone, enabling them to spend the afternoon lurking in comfort in the holly thicket. My day was rather busy, but everything was wrapped up before the day ended. Today is starting much the same. The next FOTD will appear in 24 hours. Until then, take care, and launch out into new territory. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Double_Spiral { ; time=0:01:36.56--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=ManZpwrAbs passes=1 center-mag=-0.6401689518885381/+2.760849241510850\ /1671.162/0.9379/38.0489798713000269/-10.806740679\ 1004323 params=8/0/-2/0/0.5/0 float=y maxiter=1500 inside=0 proximity=1.5 outside=fmod periodicity=10 colors=800kZzkZzm`zkZzkXzkXzkVzkVzkTzkTzkQzkQzkOzk\ OzkMzkKzkKzkIziIziGziGziEziEziCziCziAzi8zi8zi6zi6y\ i4yi4yi2wg2wg0ug0ug0sg0sg0sg0qg0qg0og0og0og0mg0mg0\ kg0kg0kZ0qT4uKEzEMz8Xz8dz8oz8yz8wz8wz8wz8wz8wz8wz8\ wz8uz8uz8uz8uz8uz8uz8uz8sz8sz8sz8sz8sz8sz8sz8qz8qz\ 8qz8qz8qz8qz8qz8oz8oz8oz8oz8oz8oz8oz8mz8mz8mz8mz8m\ z8mz8mz8kz8kz8kz8kz8kz8kz8kz8iz8iz8iz8iz8iz8iz8iz8\ gz8gz8gz8gz8gz8gz8gz8dz8dz8dz8dz8dz8dz8dz8bzAbzFbz\ KgzPkzUozZuzczzhzzmzzrzzvzzzzzvzzrzzmzzhzzcwzZqzUi\ zP`zKVzGMzGEwG8sG0oG0kI0iI0iI0iI0gI0gI0gK0gK0dK0dK\ 2dK2dK2bK4bN4bN4bN6`N6`N6`N8`P8ZP8ZP8ZPAZPAXPAXPCX\ 8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8ATAASABRACQAD\ PAEOAFNAGMCHLCIKCJKBKK9LK7MI5NI6OI7PI8QG9RGASGBTGC\ UEDVEEWEFXEGYCHZCI_CJ`CKaALbANcAPdARe8Tf8Vg8Xh8Zi6\ `i6bi6ei0gi4ei6bk8`kC`mEZmGXoKVoMVqOTqTRqVPsXNs`Nu\ bKudIwiGwkGymEyqCzsAzu8zy } frm:ManZpwrAbs {; Jim Muth z=c=pixel: z=(p1*(z^|z|))+(p2*z^p3)+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 30-09-05 (Square Root of 2-7 [6])
by Jim Muth 30 Sep '05

30 Sep '05

FOTD -- September 30, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's lightning-fast FOTD continues the theme of the square root of 2, but it does so in the Julia orientation. There are no midgets in Julia sets, so I have wasted no effort searching for them in today's FOTD. I have instead taken an entire Julia set. There is also no outside-inside image in today's FOTD. I have rendered the outside parts totally black and rendered the inside parts with the inside set to 'fmod' with a proximity value of 0.02. What we have on the screen is actually the inside of the entire ground-level Z^(sqrt(2))+C Julia set. Its C-value is 0.115. The set has been rotated -90 degrees to give it a Y-axis symmetry. The resulting inside-only image reminds me for some reason of an avacado, though I have given it only a catalog-listing name. The rating of a 6 is some improvement, but not what I was hoping for. The image, which was calculated by the julzpower formula, is extremely fast. On my tired old machine it renders in 1/2 minute. On the speediest units, if it runs at all, it will finish in a few seconds. Those who for some reason cannot or would rather not run the included parameter file may see the avacado-colored image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung heavy Thursday morning here at Fractal Central, but the rain passed off quickly, and by 2pm it was sunny and mild, with a temperature of 75F 24C. The cats approved. I did not approve of the heavy work, but work is work, so I did what needed to be done. Today is starting sunny but chilly. The cats should find it acceptable. The next FOTD will appear in 24 hours, minus the avacado. Until then, take care, and dream of the answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-7 { ; time=0:00:39.93--SF5 on a P200 reset=2004 type=julzpower center-mag=-0.187793/0/\ 1/1/-90/0 params=0.115/0/1.414213562373/0 float=y maxiter=1600 inside=fmod proximity=0.02 colors=0000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 000`Q3`Q3`Q3`P3`P3`O3`O3`O3`N3`N3`M3`M3`M3`L3`L3`L\ 3_M4ZN4ZN4YO4YP4XP4WQ5WQ5VR5VS5US5UT5TT5SU6SV6RV6R\ W6QW6QX6PY7OY7OZ7N_7N_7M`7M`7La8Kb8Kb8Jc8Jc8Id8He9\ He9Gf9Gf9Fg9Fh9Eh9DiADjACjACkABkABlAAmB9mB9nB8nB8o\ C7pE7pG6qI5qK5rM4sO4sQ3tS2uU3tW3tY3s_3sa3rc3re3rd3\ qc3qb3pa4p`4p_4oZ4oY4nX4nW4mV4mU4mT4lS4lR5kQ5kO5kM\ 5jK5jI5iG5iE5iE5hE5hE5gE6gF6fF6fF6fF6eF6eF6dF6dF6d\ F6cF7cG7bG7bG7aG7aG7aG7`G7`G7_G7_G7_G8ZH8ZH8YH8YH8\ YH8XH8XH8WH8WH8VH8VH9VI9UI9UI9TI9TI9TI9SI9SI9RI9RI\ 9RI9QJ9PJ9OK9NKAMLALLAKMAJMAINBHNBGNBFOBEOBDPCCPCB\ QCAQC9RC8RD7SD6SD5TD4TD3TF5UG6VH7WI8XJAXKBYLCZMD_N\ E_OG`PHaQIbRJbSKcTMdUNeVOeWPfXQgYShZTi_Ui`VjaWkbYl\ cZle_mg`niaokcomdpoeqqfrsgrreqpdpncolaok`ni_mgYmeX\ ldWkcVkbTjaSiaRh`Ph_OgZNf } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint Movie
by Russell Walsmith 30 Sep '05

30 Sep '05

Good job Warren, FYI, check out http://www.sonic.net/~jot/ufvp.html ----- Original Message ----- From: ". Warren" <zane9000(a)hotmail.com> To: fractint(a)mailman.xmission.com Subject: [Fractint] Fractint Movie Date: Thu, 29 Sep 2005 17:43:49 +0000 > This movie was made with the formula z(sub t+1) = z(sub t)^x + C. This > is is similar to the Manelbrot formula where 'x' would equal a constant > (2). The animation in this movie is cause by the actual formula changing, > not zooming in and out like most animations. 'x' from the above formula > is cycled from .01 to 11 with 242 frames in between. Each frame was > manually generated and linked together with GIF movie gear. This is the > Hi-Res Version (~11 megs) This si the Low-Res Version (~1.7 megs) These > are all of the individual frames I know it is a bit basic and I probably > should have used a better colour MAP, but I was just playing with the > formulas one day and came up with this idea. What do you guys think? And > does anyone know a better way to make all the frames rather than doing > each one by one? > > -------------------------------------------------------------------- > > From: Jim Muth <jamth(a)mindspring.com> > Reply-To: Fractint and General Fractals > Discussion<fractint(a)mailman.xmission.com> > To: fractint(a)mailman.xmission.com > CC: philofractal(a)lists.fractalus.com > Subject: [Fractint] FOTD 29-09-05 (Square Root of 2-6 [4]) > Date: Thu, 29 Sep 2005 09:42:11 -0400 > > > >FOTD -- September 29, 2005 (Rating 4) > > > >Fractal visionaries and enthusiasts: > > > >Things are still a bit too busy here at Fractal Central for > >maximum FOTD efficiency, but I did manage to scrounge up an > >image worth being christened FOTD for September 29. > > > >To find today's image, I searched the chaos on the northern > >shoreline of the +36 version of the square-root-of-two > >Mandeloid, a parent fractal that rather reminds me of an old- > >fashioned string of sausages. > > > >The image features a midget at the center. Well, it could more > >accurately be described as a hole surrounded by the fractal soil > >that was dug away to create it. There appears to be no > >organized pattern at all surrounding the midget, only bits and > >pieces of rather nasty-looking debris left over from its > >creation. > > > >But all fractals, like all stories, should have a theme. And > >without a theme, today's image must be rated under average. I > >gave it a rating of 4, the highest under-average rating I could. > > > >Luckily, the image is a fast one, rendering in 2 minutes on my > >old machine, and in under 1 minute on the newest units. For the > >convenience of those who do not render, the already-rendered > >image is available for download on the FOTD web site at: > > > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > > >Perfect weather here at Fractal Central on both Tuesday and > >Wednesday kept the Fractal Cats quite happy. Having too much > >work kept me unhappy. Today is starting cloudy with rain in the > >forecast, so I doubt there will be another perfect day for the > >cats. For me, the work is under control, but still heavy. The > >next FOTD will appear in 24 hours. Until then, take care, and > >be fractalish. > > > > > >Jim Muth > >jamth(a)mindspring.com > >jimmuth(a)aol.com > > > > > >START PARAMETER FILE======================================= > > > >Square_Root_of_2-6 { ; time=0:02:00.23--SF5 on a P200 > > reset=2004 type=formula formulafile=allinone.frm > > formulaname=mandelbrotbc2 passes=1 > > center-mag=-0.27721719749208490/+0.227484603426743\ > > 80/354.5796/1/-47.5/-8.13835110413663188e-013 > > params=1.414213562373/0/36/0 float=y maxiter=1600 > > inside=0 logmap=yes periodicity=10 > > colors=000gHqeHqcIqbIq`IqZJpYJpWKpUKpTKpOagKsZNp_Q\ > > n`Sl`VjaXha_fbbdcdbcg`diZdlXenVekTchSaeQ_bPY_OWXMU\ > > ULSRKROIPLHNIFLFEJCDH9BF6AD39C6GI8NOATUD_ZFedHljJr\ > > oMpjPofRmaUlYXjTZiPWeOTbOQZONWOKSNHPNEMNBIN8FM5BM2\ > > 8M05M36O67P97RC8SF8TI9VL9WOAXRBZUB_XC`_CbbDceDdcHc\ > > aKc_NcYQbWTbUWbSZbQaaOdaMgaKjaIm`Gp`Es`Dv`Ht_Ks_Nr\ > > _Qq_Up_Xo__n_bm_fl_ik_lj_oi_ohcohfohjohmohpWOYD4GI\ > > 7IMAKRDLVGNZIOVNTSSYOWaL`fIdjJehKegLefLfeMfcNfbOga\ > > Og`PgZQhYRhXRhW8qdAodBndCmdDldEjdFidGhdHgdIfdJddKc\ > > dLbdMadN`dLVgJQjHLmFGpDBrHFqKIpNLoQOnTRmWUl_Ykb`je\ > > cihfhkignlfqoflpdhqcdrb`saWt_StZOuYKvXFwVBxU7yT3yS\ > > RcQmJPjLQgNRdPSbRT_TTXVUVXVSZWP`XMbXKdYHfZEh_Cj_Fn\ > > dIqiKtnNwsPzwNrtLjqJbnHVlFNiDFfB7dDAcEDcFGcGJbHMbI\ > > PbJSbKVaLYaM`aNcafSZmPYsMXyJWj1xf5sc8n`BiYEdVH`TLb\ > > SOdQSePVgNZiMajKdlJhnHkoGoqErsDutHtpLslPriTqeXpbOb\ > > QGQEKPFOPGRPHVPIZPJjGrhGr } > > > >frm:MandelbrotBC2 { ; by several Fractint users > > e=p1, a=imag(p2)+100 > > p=real(p2)+PI > > q=2*PI*floor(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|<a } > > > >END PARAMETER FILE========================================= > > > > > >_______________________________________________ > >Fractint mailing list > >Fractint(a)mailman.xmission.com > >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 29-09-05 (Square Root of 2-6 [4])
by Jim Muth 29 Sep '05

29 Sep '05

FOTD -- September 29, 2005 (Rating 4) Fractal visionaries and enthusiasts: Things are still a bit too busy here at Fractal Central for maximum FOTD efficiency, but I did manage to scrounge up an image worth being christened FOTD for September 29. To find today's image, I searched the chaos on the northern shoreline of the +36 version of the square-root-of-two Mandeloid, a parent fractal that rather reminds me of an old- fashioned string of sausages. The image features a midget at the center. Well, it could more accurately be described as a hole surrounded by the fractal soil that was dug away to create it. There appears to be no organized pattern at all surrounding the midget, only bits and pieces of rather nasty-looking debris left over from its creation. But all fractals, like all stories, should have a theme. And without a theme, today's image must be rated under average. I gave it a rating of 4, the highest under-average rating I could. Luckily, the image is a fast one, rendering in 2 minutes on my old machine, and in under 1 minute on the newest units. For the convenience of those who do not render, the already-rendered image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect weather here at Fractal Central on both Tuesday and Wednesday kept the Fractal Cats quite happy. Having too much work kept me unhappy. Today is starting cloudy with rain in the forecast, so I doubt there will be another perfect day for the cats. For me, the work is under control, but still heavy. The next FOTD will appear in 24 hours. Until then, take care, and be fractalish. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-6 { ; time=0:02:00.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotbc2 passes=1 center-mag=-0.27721719749208490/+0.227484603426743\ 80/354.5796/1/-47.5/-8.13835110413663188e-013 params=1.414213562373/0/36/0 float=y maxiter=1600 inside=0 logmap=yes periodicity=10 colors=000gHqeHqcIqbIq`IqZJpYJpWKpUKpTKpOagKsZNp_Q\ n`Sl`VjaXha_fbbdcdbcg`diZdlXenVekTchSaeQ_bPY_OWXMU\ ULSRKROIPLHNIFLFEJCDH9BF6AD39C6GI8NOATUD_ZFedHljJr\ oMpjPofRmaUlYXjTZiPWeOTbOQZONWOKSNHPNEMNBIN8FM5BM2\ 8M05M36O67P97RC8SF8TI9VL9WOAXRBZUB_XC`_CbbDceDdcHc\ aKc_NcYQbWTbUWbSZbQaaOdaMgaKjaIm`Gp`Es`Dv`Ht_Ks_Nr\ _Qq_Up_Xo__n_bm_fl_ik_lj_oi_ohcohfohjohmohpWOYD4GI\ 7IMAKRDLVGNZIOVNTSSYOWaL`fIdjJehKegLefLfeMfcNfbOga\ Og`PgZQhYRhXRhW8qdAodBndCmdDldEjdFidGhdHgdIfdJddKc\ dLbdMadN`dLVgJQjHLmFGpDBrHFqKIpNLoQOnTRmWUl_Ykb`je\ cihfhkignlfqoflpdhqcdrb`saWt_StZOuYKvXFwVBxU7yT3yS\ RcQmJPjLQgNRdPSbRT_TTXVUVXVSZWP`XMbXKdYHfZEh_Cj_Fn\ dIqiKtnNwsPzwNrtLjqJbnHVlFNiDFfB7dDAcEDcFGcGJbHMbI\ PbJSbKVaLYaM`aNcafSZmPYsMXyJWj1xf5sc8n`BiYEdVH`TLb\ SOdQSePVgNZiMajKdlJhnHkoGoqErsDutHtpLslPriTqeXpbOb\ QGQEKPFOPGRPHVPIZPJjGrhGr } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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No FOTD for September 28
by Jim Muth 28 Sep '05

28 Sep '05

Fractal fans: Due to the usual unexpected rush here at Fractal Central, there will be no FOTD for September 28. The fractals will return on September 29. Jim M.

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FOTD 27-09-05 (Square Root of 2-5 [7])
by Jim Muth 27 Sep '05

27 Sep '05

FOTD -- September 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's discussion is terse, not because I was busy, but because I spent several hours writing a rather lengthy reply to a letter about dreams that was posted recently to the philofractal list. The reply will appear later today on that list. Well, I finally found a midget worth a rating of 7 in the +4321 version of the Z^(sqrt(2))+C fractal. I found it on the long, meandering filament that extends south and east from what passes for a large south bud. It lies in the East Valley of a much larger midget on the filament. True, much of the worth of today's image is due to my coloring effort, but what's wrong with the human element in the world of fractals? Tomorrow, we'll move on to another interesting version of the Z^(sqrt(2))+C fractal to see what goodies we can find there. BTW, it's too bad that the classic Mandelbrot set comes in only one version. I guess this makes it kind of the god of fractals. I gave today's image only a catalog listing. Maybe I'm starting to run out of names. But a worthwhile visual artist really should not need to give names to his works. The works should speak for themselves. (Not in words of course.) In my opinion, the 8-minute render time of today's image is worth the effort. But my opinion is not universal, so the already-completed image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may quickly and effortlessly be downloaded. Mostly cloudy skies in the early afternoon turned into light rain by the late afternoon here at Fractal Central on Monday. The high temperature of 82F 28C was not too bad, but the high humidity made things feel muggy, especially for the fractal cats, who cut short their outdoor adventure even before the rain set in. The evening tuna treat eased their troubles. Today is starting breezy, with sun and cooler temperatures. I expect a better day is coming. The next FOTD will be coming also -- in 24 hours that is -- so don't miss the excitement. Until then, take care, and see the fractal sights. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-5 { ; time=0:08:02.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.87374438186114160/-1.340159768589525\ 00/1.286642e+010/1/87.5/-0.000489708418479985197 params=1.414213562373/0/4321/0 float=y maxiter=1500 inside=0 logmap=241 periodicity=10 colors=0009Jh7Kg4Lf2Me0Md3Lb5L`8L_ALYCLXEJUFISHHPI\ GNJELLDIMCGOBDP9BQ89S76T64UK2VSIguYHU1LI5OK9SNDWPH\ _SLbUPfXTjZXma`qcdtfhzhlzjpwelraioYfnTckP`gLXcHU_C\ RY8OW4LU0IN1NG2SF3X84a24e47f5Af6Cf7Ff8If9GeAEbBPfH\ RcNT`UVY`XVgZSn`PuaMpdWkgefinbhj_hfYhcVh_ShXQhTNcQ\ L_MIXJFUFDUCAU88U58UB8UH8UM8US8UY8Ub8Zh8cn8ds9er9f\ q9fp9go9hn9hmAilAikAjjAkiAkhAlgAlgBjhBhhCghCehDdiD\ biEaiE_iFZjFXjGWjGUjGTjFQkFNkELkDIkDFlCDlBAlB8lA9k\ 99k89k8Ak7Ak6Ak6Ak8Fk9JkBOkCSkEWkF`kHdkIhkJbgKXcKS\ `LMXMGTMBQN5MN0JNIARJEVJIYKMaKPdLThLXkM`oMcrNgvNky\ NnzMZzLJzK4cL66L76L86LA6LB6LC5ME5MF5MG5MI5MJ5MK5ML\ 6ON7PP8QR8RS9SUATWAUXOXUYZS``PcbNheKmgIriFwkDzmBvl\ CqlCmlChkDejDaiDYhEUgERgEUhGWhHZiJ`iKbiMekNgkPilQl\ mSnnTpnUqpKrqGssDtt9uu6vv7ww8xz8yz9zz9zzAzzAzzBzzC\ zzCzzDzzDzzEzzEzzNzzVzzbzzczzczzczzczzdzzdzzdzzdzz\ ezzezzezzezzfzzfzzfzzfzzc } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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FOTD 26-09-05 (Square Root of 2-4 [5])
by Jim Muth 26 Sep '05

26 Sep '05

FOTD -- September 26, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fourth venture into the world of the square root of 2 did not turn out as well as I had hoped. I could give the image a rating no higher than a 5. But a rating of a 5 is average, and an average fractal is always worth a look. I will search the +4321 parent fractal one more time before moving on to other levels. I am still confident that it holds some better scenes than the two I have found so far. Today's scene lies in a 5-pointed star near the tip of a filament extending from the third largest bud of the main bay of the parent, which is located on the eastern shoreline. The overly gaudy coloring makes the image look more like a wild carnival decoration than a dignified fractal, but the render time of 3 minutes is brief enough to keep computer time and inconvenience to a minimum. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds and a temperature of 77F 25C kept the cats contented on Sunday here at Fractal Central. Today is starting cloudy with showers in the forecast. But no rain has fallen yet, so maybe things will turn out not so bad for the duo. For me the work is average. The next FOTD will appear in 24 hours. Until then, take care, and why is it that we never know what Nostradamus predicted until after the event happens. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-4 { ; time=0:03:05.76--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+1.23304309865560900/+0.079861728742448\ 12/2328363/1/90/3.88578058618804789e-016 inside=0 params=1.414213562373/0/4321/0 float=y maxiter=1500 colors=000IhYMiSQjMiXMSml9zuIxuPvuWrubouimuYsuLxu6\ zu0zu9zuPzubzuozukzuizujzujzujtujnujfuj_rjTpjMnY4p\ G4W048MCKePUx_czjkzflzclzalzXnzUnzSnzXqzauzeuziuzm\ uzpuyluvhqsbhpZ`nTSjPHhI6eD6WT6MfCDrJ0zP0zV0zd0ln0\ Wu4UrEUqOTpWTndSlkSksSjrAFoKKnSOlZRkeUimWhsZfyaezd\ iyZktVnoPpjKscFuZ8`T6iN6xT6uX6sa6pe6j_6dW6YS6SN6QK\ 6NJ6KI6GH6AIJEXWOjhVwtz4cz4Wz4Pi8PLMPYWJheErm6zv6z\ z6zx8vtJpoSilcakpVfzMezEdzG`yJZxLWwMUvPQuQQmTPhVPc\ YNUZNK_MAoMnjAde4WiCOp6Pv4Pz4Pz4PzCMpQJhbFYmEOxABz\ 60z6VTjaPofMrkHurDuv8uz4uz4uzHuzUuyfuvrotzjnzkhxka\ vlVslOplGnn8ln0jn8ogDtaIyWMzRQzKVzEQzCOzCLzAGzADz8\ 9z8Iw6Pb6WF6TPAQXJOeRLlWTccaWjhNpoDuu4unKufZuZluQx\ uIzuJzrJykJtcJnVJiMJcCJZ6LU6MS8OPCOMEPHFQDJSAKS6Ma\ IajSos_uzhupWuhKuZ6ul8uzAuzAtz_czvKzz6zz6zz6uz6pz6\ lz6Qb604A0bF0zJ0yU9scImlQftY_udTujMueWu_euVnuPwqJz\ kZw8VsFQpMMmSIjYDfc8chDfc } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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FOTD 25-09-05 (Square Root of 2-3 [5])
by Jim Muth 25 Sep '05

25 Sep '05

FOTD -- September 25, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(sqrt(2))+C fractal as it appears 4321 levels up the complex logarithmic hyper-spiral. The parent fractal resembles a Mandelbrot set sitting on its butt, or maybe Bozo the clown, waiting to be punched. A small cut-off area lies to the right of the main bud. Today's scene was found in this area. It's not that great an image, rating only a 5. In fact, the outside=iter version is so dull that I needed to add a bit of artificial interest by rendering the scene with the outside set to 'tdis'. But this particular parent fractal has far more impressive scenes in it -- of this I am certain. So be sure to see tomorrow's FOTD for something far better, which I have missed in today's FOTD. No merely average image should take longer than 3 minutes to render. With its render time of a brief 2-3/4 minutes, today's image meets that requirement handily. Perhaps the best news of all is that the completed GIF image is, or shortly will be, available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy and much cooler day here at Fractal Central on Saturday kept the two fractal cats happy in the holly patch. Wrapping up the remainder of the real work kept the fractalist happy. Today is again starting with clouds, and it is cooler still. The next FOTD will appear in 24 hours. Until then, take care, and do not get lost amid the iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-3 { ; time=0:02:46.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.60322350296554590/+1.350727040560627\ 00/7341.363/1/72.5/2.16663215146795096e-011 params=1.414213562373/0/4321/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000AjNBlPCoRCqTDtVDvXDrZDo`DlbDidDffDchD_jD\ XlDUnDRpDOrDLt8FyDIvILsNOqRRnWUl`XidZgfWchU_jSWlPS\ nNOpLKxKCqJGjIJcINYHQRHUKGXEG_ALT6PM1VH3TG5SG6RF8P\ FAOFBNEDLEEKEGJDIHDJGCLFCNDCOCBQBBZ0ARABMH6KKCJNHI\ PMHSRGUWFX`E_eDajCdo8dvBftEgrGhqJioMjnOklRlkUmiWnh\ Zof`pecjVfeKikCh`AgR9fG8g18e67cA7aE7_I7ZM7XR6VV6TZ\ 6Rb6Rh3Qf6Qd9PcCPaFO`IOZLNYONWRMVUMTXLS_LQbKPeKNhK\ MjLTiLShMUgMXgNZjG`iDahDajD`lC`nCZpBXqAWk9Xo8Wi7Wd\ 6V_5UU4UP3TJ2SE2S97XECaJHfOMmTVqbRpYNjUKbPGXLDQG9J\ C6D8AC9ECAIBBMBCQADTAEX9F`9Gd8Hh8In7Gk8Jh9MfAPcBSa\ BV_HTYNRXTPVYOTcMSiKQoIPtHSsLVsPYsT`sWcs_fscisgzzj\ zznzzrzzxtvutsstoqsmoskmrikrgiregsceu_iuacucZueTug\ OtiIrj7skDtlJulPvmUwm_xnexnjwmhwlfvlevkcukauj`tjZt\ iYsiWshUrhTrgRrhSrgQrgOrgNrgLf`JeUIdUGbUEaUD_UBZU9\ XUSYU8VUCTUFQUJOUMMUPJ_THdWFdZIbZL`ZNZZQXZUZYSVZRS\ ZQPZOM_NJ_MG_KD`8bG9eJAgL } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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Hurricane Victims, Again ??
by Paul N. Lee 24 Sep '05

24 Sep '05

Greetings, It seems more of our fellow fractalists have had there areas hit by the latest hurricane: Timothy I. Wegner A. M. Schaer Virginia D. Fairchild Jeffrey M. Grimes Fred T. Wilson, Jr. Kevin S. Morgan Chuck Drinnan David L. Forbus Most of these are from the Houston area into Louisianna. Hopefully, they will have not had any serious complications in their lives due to the current events. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 24-09-05 (Square Root of 2-2 [7])
by Jim Muth 24 Sep '05

24 Sep '05

FOTD -- September 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Things are still a little busier than I would like here at Fractal Central today, so there will be no time for a long rambling discussion. The parent fractal of today's image, which is based on the square root of 2, is sliced 1234 levels down the complex log spiral. At this lowly level, the parent fractal is little more than a lopsided circle with hints of tiny buds, but as today's FOTD shows, it holds no shortage of midgets. The rather striking scene is located in some explosive chaos on the western shore of the main and only bay of its parent. I am losing track of the number of consecutive 7-rated images we have had. I think today's is number 8 in a row. The name "Square Root of 2-2" indicates that the image is the second in the series of images investigating fractals generated with the expression Z^(sqrt(2))+C. The series will continue until I grow bored. The render time of 4+ minutes is within reason, but those who are having an unreasonably impatient day may download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In a recent letter to the list, someone wondered where I get the color maps I use in the FOTD fractals. The answer is, anywhere I can find them. Sometimes the program produces a satisfactory color map with a strike of the 'enter' key, and all I need to do is tweak a few troublesome registers. At the other extreme, I occasionally create the entire map one register at a time, which is a slow process. Occasionally I run the FOTD images through an image-processing program such as Photoshop, though I never make changes that cannot be entered into a Fractint parameter file. And finally, though my humility prevents me from admit- ting it, my profession does require at least a bit of artistic sensitivity. Some of it unavoidably rubs off on the FOTD fractals. With a high temperature of 93F 34C and increased humidity here at Fractal Central on Friday, it was a bit too oppressive for cat comfort. But the showers never arrived, and the duo made the best of the marginal conditions, lurking for several hours in the holly thicket. To ease their displeasure, I gave them a bit of extra tuna in the evening. Today is starting with clouds and cooler temperatures. I see no reason why the duo should complain. The next FOTD will appear, as it almost always does, in 24 hours. Until then, take care, and be peaceful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Root_of_2-2 { ; time=0:04:17.49--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.40565767597375290/+0.069646715730597\ 94/5129615/1/62.5/-6.2025166898405093e-008 params=1.414213562373/0/-1234/0 float=y maxiter=3200 inside=0 periodicity=10 colors=000xFvwFuvFuuEtsEtrEsqDspDroDrkEphFneGmbHkZ\ IiWJhTKfQLdNMcJNaGO_DPZAQX7RW9TUBVTDXSFZRG_PIaOKcN\ MeMOgLPhJRjITlHVnGWoFUnGSnGQmGOmHMlHLlHJkIHkIFjIDj\ JCiJAiJ8hK6hK4gK3gK6dJ8bIA`HCZGFWFHUEJSELQDNOCQLBS\ JAUH9WF8YD8`GCbJFeLIgOMjQPlTSoVWqYZs_a2mn4ff5_Z6TS\ 7UR8VQ9VP9WOAWNBXNCXMCYLDZKEZJF_JF_IG`HH`GIaFIaFGU\ MENTCG_A9f92l81g71b61Y51T41O30J20E109113004r43d32R\ 21D105ID4GC4FB3DA3C93B8297286165154143022nAXlAXjAU\ e9R`8NV7KQ6HL4DF3AA2651307006005005004004003002002\ 00100100005av4Yp4Uj3Qd3MZ2JT2FN1BH17B035jXwm0wuzep\ ubkq_glXbhUZcRU_ORVLNRIJMFFICBD9796343RcKO_IMWGKSF\ IPDGLCEIACG9AD78A6684453221LTsJRoIPkGNgFLdEJ`CHXBF\ T9DQ8BM79I57E45B2371135mq4im4ei3be3Za3WY2SU2PR2LN1\ HJ1EF1AB077033N9yI7lD5`93O41CERfCObBMZAKW9IS8FP7DL\ 5BH49E36A247123ImGEcCAU97K63A3c3M_2JW2HS2FO1DK1BG1\ 8C068044020jq0NRr0ol0ig0d } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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Re: FOTD
by JackOfTradeZ 23 Sep '05

23 Sep '05

MuthZooM #2 is being rendered! It is the 16-09-05 FOTD image, and it is looking way cool; should be dun in about 3 weeks. I only do the deep ones, this is e+21; I may even take it further to the mini-brot in the center. Where does he get those color maps? .... Stay Cool JoTz

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FOTD 23-09-05 (Square Root of 2-1 [7])
by Jim Muth 23 Sep '05

23 Sep '05

FOTD -- September 23, 2005 (Rating 7) Fractal visionaries and enthusiasts: Due to an unexpected small but rushed job, which needs to be delivered by this afternoon, today's discussion will be brief. Starting with today's image we will begin a series of FOTD's that explore scenes in the fractals created by the formula Z^(sqrt(2))+C. These fractals are infinite in number, and all are broken by discontinuities, but the midgets in them are relatively easy to find, and though not as varied as those in the classic Mandelbrot set, the midgets still have much variety. The names will merely indicate the number of each image in the series. The name of today's image is "Square Root of 2-1", which indicates it is the first in the series of images based on the square root of 2. Today's parent fractal is the one at ground level of the MandelbrotBC2 formula. In future FOTD's we will investigate other levels reached by this formula. The rating of a 7 is the seventh consecutive such rating. The render time of 1-1/2 minutes is blessedly brief. The finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With lots of sun, reasonable humidity, and a high temperature of 86F 30C, Thursday turned out virtually perfect here at Fractal Central, especially for the cats, who spent the afternoon hiding in the holly thicket, making sure the cat from two doors down the hill kept his distance. With only a moderately heavy load of work to finish, my day was not quite perfect, but it came close. Today is starting with some clouds and quite warm. Possible showers are forecast for later. We'll see how it goes. The next FOTD will appear in 24 hours. Until then, take care, and dream of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SquareRoot_of_2-1 { ; time=0:01:30.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.56788044566820710/+1.699692341050198\ 00/884217.7/1/-10/4.03226944195589354e-009 params=1.414213562373/0/0/0 float=y maxiter=4200 inside=255 logmap=67 periodicity=10 colors=000G5CC6DE7EG8FI9GJAHKBILCIMDJNEK9FMAGNBHOC\ IODIQFMVHQ`JUgLYjNaoPeuRhzMjwHltCmq7on2plvI1wVLwgd\ NkPPiVQh_SgeTfjVepWduXczW`oVYeUVWTSMSPCRTJRXQQ`WQd\ bPhiPkoLmqHorDps9rt6suEgbMXKUMmfFzr9zmFzhKzcQzZVzU\ ``PeXRiRSlLToFQhENaEKVEHODEHDBAD94DEASIGeMMsf1RcFJ\ `TCZe5hdDqcLkbIfaF``CW`ATbDQcGOdJLeMIfPGgRDhTAhU7h\ W4hX7gU9fSCePEdNGcLJbILaGNaEQXCSTBVP9XL8_H6aD5d93f\ 52gH3hT3id3g_8fWCdRHcNLH70JC2KG4LK6MO7NS9OWBP_DQcE\ TeKWgPYiV`k_cmdeojhqojrtdso_tjVueQv`LwWGwRHsTIpUJl\ VKiWKfXOcURaRVZPYXMaUJdSHhPEkNCcJOXGZPCiI9tUQZefDh\ YLkQTnI`qAhHXPGXPGXPGXPGXOFWOFWOFXOFYOE_OEaOEcOEeO\ EgODiNDkNDmNDoN0qICsNCuNCwNCxNByNBzNBzMBzMBzMAzMAz\ MAzMAzM9zM9zM9zM9zL8zL8zL8zL8zL8zL7zL7zL7zL7zL6zK6\ zK6zK6zK5zK5zK5zK5zK5zK4zK4zJ4zJ4zJ3zJ3zJ3zJ3zJ2zJ\ 2zJ2zJ2zI2zI1zI1zI1zI1zI0zI0zI0zI0zI7zn6zm6zm6zm6z\ m6zm6zm6zl6zl6zl6zlgzWszs } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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Lazy XP or what?
by marcusadriana 22 Sep '05

22 Sep '05

When rendering big images in my brand new 3.2 Intel, 1 Gb ram etc, (finally I bought something new), in video=SF9, the first lines come at once. Suddenly the image began to be plot pixel-by-pixel, as if the machine is dozing. You must "wake" it. Click "enter". The machine startle and it becomes alive. The next 50 lines come at once, then comes the dozing phase... and I have to do the mechanical "enter" some 5-10 times for each image. Is that normal under Windows XP? Is there another automatic command I do not know? Thanks Marcus

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FOTD 22-09-05 (The Fourth Root [7])
by Jim Muth 22 Sep '05

22 Sep '05

FOTD -- February 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: In the northern hemisphere today is the first day of autumn. In the southern hemisphere it is the first day of spring. At 2223 GMT the sun stands directly over the equator somewhere not too far south of Hawaii. For a brief moment, everything is in balance, the great world fractal is motionless, and it is said an egg will balance on its end. This might be true in some parts of the world, but not here at Fractal Central. The only way I can make an egg stand upright is to place it on a flat surface and prop it up with a few grains of salt. The big question would seem to be how the story got started. It is also said that the entire universe might be a fractal, which would mean that eggs are fractals also. But there is nothing egg-like in today's striking image. Today's fractal is part of the larger fractal that results when the formula Z^(1.1892)+C is iterated at ground zero level of the logarithmic spiral. Actually, I should say 3.14159 levels down the complex logarithmic hyperspiral spiral, for the number pi is actually best considered ground level of the spiral. (I might write another formula, one that correctly sets ground level.) The exponent of Z in today's image is 1.1892, and it is no acci- dent that this number is the fourth root of 2. I chose this value because the midgets are easier to find in fractals whose Z exponents are roots of 2. I really did not need to choose a root of 2 however, for I have discovered a simple method of finding those elusive hidden midgets in fractals with exponents of Z between 1 and 2. After giving today's image full consideration, I rated it at a 7. This is about the 6th consecutive rating of a 7, which is a sign that, at least in my opinion, I am on a fractal roll. The name "The Fourth Root" is a simple description of the exponent of Z. The render time of 2 minutes is thankfully brief. And as for those with Fractint-deprived machines -- they can see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An absolutely perfect day (we sure have been having a lot of them lately) here at Fractal Central on Wednesday kept the fractal cats contented. Finishing the work early and finding a good fractal kept me contented also. Today is starting sunny and only the slightest bit cooler. It seems another good day is coming up. The next FOTD will appear in 24 hours. Until then, take care, and don't ignore the minutiae. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Fourth_Root { ; time=0:02:05.01--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+1.99538087334197200/+1.392766250999284\ 00/37712.73/1/-17.5/2.84751282275675e-009 logmap=55 params=1.1892/0/0/0 float=y maxiter=1500 inside=0 colors=000VTVTQTQOQOMTMKRKEOI7LH0HB0HD0OB7UHMZX_fl\ nnzzttlzlXzdHzX2zQ0zvazzzizzizzinqiaeiQViFKiXMvlOz\ zQzzTzzOzzMdqKHtIDvH9xH5xF2zF0zD0zD0zM2xXBveMtoXqz\ gqzqizvazxXzzOzzIzzBzz5zzBXzH0zM0zT0tY0dd0Qi0Bo00z\ 03z09z03q70eK0V_0In07z0Fz0Mx0Tv2_t5eqBnoHtoKxvMzzO\ zzQzzTzzTzzKzzDzz7zz0zz0zz0zz2zzFzzTzzzzztzznzzgzz\ azz3zz0zzlzzezzazzXzzTzzOzzIzzFzzBzzHzzKzzIzzIzzIz\ zlzzzzzlzzKzzQzzV0zY3zaBzgKzlTzo_ztQzxIzzBzz3zz0zz\ 0zz0zz0za0z00z30z90zD0zI0zM0zBBz0Tz0iz00zT0zK0zD0z\ 70z00z02z0Qz0nzDzzQzzVvzYnzaezdYzgQzlIzoDzqDzzDzzD\ zzHzzIzzMzqOziQzdIzaDza5za0za0za0za0za0zO0zB0zO0za\ 2zo3zz0zz0zz0zz0zz0zz_zzgzznzttzdzzOzzBzzDxzDtzFoz\ FlzHgzHdzIazIYzHXzFVzFQzDOzDMzBKzB9z20z00z00z0zzMg\ z29z0zzXzzXzz0vz0ez0Oz39zF0zQ0za0zF0z07z0Kz0Yz3lzI\ zz_zzozzazzOzzBzz0zz2zz5zz9zzDzzHzzKzzOzz_vzioztgz\ zazzXzzVzzVzzVzzvzYozYizY } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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FOTD 21-09-05 (Chambered Nautili [7])
by Jim Muth 21 Sep '05

21 Sep '05

FOTD -- September 21, 2005 (Rating 7) Fractal visionaries and enthusiasts: Toward the center of today's image, I see a feature that reminds me of a nautilus. And nautili always remind me of school. In Saint Martin's Catholic elementary school we studied the poem "The Chambered Nautilus", a poem that is obviously about reincar- nation. But reincarnation conflicts with the doctrine of the Catholic Church, which teaches that we are given only one life on earth, so the class somehow finished studying the poem without hearing of the possibility that individuals might have more than one life on earth in which to get it right. Actually, there is no nautilus in today's image. There is nothing in it but paths taken by iterated points, which have been colored according to the whims of one human being -- myself. The image is a scene in the fractal that results when the formula Z^(1.75)+C is iterated at a point 8 levels down the logarithmic hyperspiral. This parent fractal is a rather unimpressive thing, kind of a half-there main bay of a lost Mandelbrot set. But it does have the remnants of an East Valley, and the northern shore of this valley is filled with debris containing midgets such as the one which appears at the center of today's image. I named the image "Chambered Nautili". Actually, I see only one nautilus in the image, but in the world of fractals, things often come in infinities, so I made the assumption that more nautili are hiding in the scene. I rendered the image with the passes set to 'b'. I chose this method because it is always the most fun to watch in action, and with this particular image it works correctly and is actually faster than passes=g. The rating of a 7 might be based on the fact that the color theme of the image is blue and orange, my high-school colors. The render time of 9-1/2 minutes is not too bad. But it could be better. Perhaps the best way to see the nautilus is to download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds were plentiful here at Fractal Central on Tuesday, and the temperature reached 88F 31C, but no rain fell, and the fractal cats enjoyed a near-perfect day in the yard. Today is starting slightly cooler with full sun. Another good day appears to be on the way for the duo. For me, little of note is expected. The next FOTD will appear in 24 hours. Until then, take care, and be at ease. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Chambered_Nautili { ; time=0:09:38.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=b center-mag=+0.20871287866934790/+0.000681991233797\ 58/2.109281e+010/1/85/1.37199649671848611e-006 params=1.75/0/-8/0 float=y maxiter=2750 inside=255 logmap=493 periodicity=10 colors=00099gX8rdQmlgityejqfajfTcgJWgAPh1Ih3Of5Td6\ Yb8c`9hZBmXCrWKp`Soe_njgmooltwkyqfmlabgXSbSHyhQxgV\ xgZwgcwggwfkvfpvftvfxognhgdagWVgMPgDQjCRlBSoATq9Us\ 8Vv7Wx6Wz6Sv9OrBLnEHjGEfJwcLvZNuUEtS5sU7rX8q`9pfAo\ lBoqCisRcueYwtF4yKEuPOrUXoUUnTQlTMkTJiSFhSBfS8ePFh\ MLjJSlGYnDdpAjr7pt10oE9fRIYcRPp_GjVNeQU`L`WGgf7ffA\ gfChfFifHjfJkHaXKcONeGPg8NbDLZHKULIQPGMTFHXDD`C9dR\ MNPEIO6EKZMGzTEoaCdiQWccNYpFSvL9qMGmNMiOSePZaQdYQj\ XOhWMfVKdUJbTH`SFZREXQDZQC`QBaQAcP9eP8fP7hP7iTDgXJ\ e_PccVaf`_jfYmkXZWQLHJJFGIDDGBAF97E74KIDPSLVaU_kad\ uiYncRhZLbUEXO7RJ1LEHSKWYPakGgy8c9zQHWCP2AV99_F7dL\ 6iR5nX7mY9lZAkZCj_Ei`Fi`TbXeXUrRRnQSjPSfOTbOTZNTVM\ URLUOLUPMXPMZPMaPMcPMfPMhHNe9Nc1Na8R`EV_KZZQbYWfYV\ gYVgYVgYVhYVhYVhYXf`Zdb_bea`gcZidXlfVngUp`WkVYgO_b\ IaZP`bV`e`_ig_lmZpsZsyZvmcpahjQldEqZ2uTBmBFmEImHLm\ KOmN7mq4mq9mrEmrJmrOmr000 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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FOTD 20-09-05 (A Pleasant Diversion [7])
by Jim Muth 20 Sep '05

20 Sep '05

FOTD -- September 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: For today's image we return to the parent fractal of yesterday's image. But instead of investigating the Seahorse Valley area, we check the area near what passes for an East Valley. We travel a short distance inland to find today's scene. It is a typical scene in a Mandeloid in the exponent range between 1 and 2. The very tiny central midget lies at the point where the discontinuities converge. There is no perfectly arranged and unbroken pattern surrounding the midget, but we are given a hint of what the pattern would look like if it were not so broken up. The mathtolerance entry in the parameter file assures that the image will be rendered at the correct magnitude. The magnitude of 2.6*(10^12) is very near the limit of resolution. I put enough effort into the coloring to raise the image to a rating of a 7. I chose the name "A Pleasant Diversion" when the image reminded me of nothing at all. The render time of 6-3/4 minutes is about average for a quality FOTD fractal. There are always the machines that don't like Fractint however, and for the convenience of those with such units, as well as for those who prefer their fractals pre-cooked, the finished image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Except for a few clouds, Monday turned out absolutely perfect here at Fractal Central. The fractal cats heartily agreed by spending most of the afternoon hiding in the holly thicket. When the day ended, Thomas came inside without hesitation. Tippy needed to be shown the can of tuna before he decided to come in. Today is starting much the same, though there is a vague mention of showers for later this afternoon. But my guess is that the weather experts are wrong and it will remain dry. The next FOTD will appear in 24 hours. Until then, take care, and win a lottery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= APleasantDiversion { ; time=0:06:44.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.40781590287284080/+0.217917337155537\ 50/2.669789e+012 params=1.75/0/-3/0 float=y maxiter=1800 inside=0 logmap=192 periodicity=10 mathtolerance=0.05/1 colors=000Q0zN0zL0zJ1zI2zH3zG4zG5zF6zE7zD8zD9yCAxB\ BwBCvCDrCDoCDlDDiDDfDEcDE`EEXEFUEFREGPFGMFGKFHHFIF\ IJIKLLMNOOPRQSUTUXVX_XZbZ`e`chcekehngjqimtkowmpzjn\ uhlqfimcghadd_b`_`b_Zb_Xc_Vd_Te_Re_Pe_Nf_Lf_Jf_Hf_\ Ff_Df_Bf`Ec`Ga`I`aKZaMYaOYaQXbSWbUWbWVbYUc_UcaTccS\ ceR`eQZfPWfOUgNThMYhLbiKgiJljIojHskGqkFllEglDbkEYj\ ETjEOiEJiFEhFChFDgFEfFFfGGeGHeGIdGJdGJcHKbHLbHMaHN\ aHO`IP`IQ_IRZISZITYJUYJVXJWXJWWJXVKXVKYVKZUK_UK`TL\ aTLbSLcRLdRLeQMfQMgPMhPMiOMiNNjNNkMNlMNmLNnLOoKOpJ\ OqJOrIOsIPtHPuHPvGPBmADkBFjCHhCJgDLfDNdEPcFRbFT`GV\ _GXZHZXI_WIaUJcTJeSKgQLiPLkOMmMMoLNqKOsIOuHPZjL_iM\ `hM`gMagMafMbeMbdMcdMdcMdbMeaNeaNf`Nf_NgZNhZNhYNiX\ NiWNjWNjVNkUOlUOlTOmSOmROnROnQOoPOpOOpOOqNPqMPrLPr\ LPsKPtJPtIPuIPuHPvGPjPskOrkOrkOqkOqkOplOplNolNolNn\ lNnmNmmNmmNlmMlmMknMknMjnMjnMinMioLhoLhoLgoLgoLfpL\ fpLepKepKdpKdpKcqKcqKbSNp } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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Re: FOTD 19-09-05 (Discombobulation [7])
by Jim Muth 19 Sep '05

19 Sep '05

At 06:21 PM 9/19/05 +0100, you wrote: >On Mon, 19 Sep 2005 10:15:14 -0400, Jim Muth wrote: > >> -) And speaking of new-fangled stuff, I think this Fractint >incompatibility is part of a plot by a race of evil space aliens >from the Draconian Empire, who are turning us into helpless >technology-dependent wards, ready for easy enslavement. > >Surely you don't mean Bill, do you? > >John > He's an advance scout, a Draconian agent sent to observe and report back how quickly we're gobbling up all these goodies we were better off without. The main invasion force is parked in an immense ship 450 miles in diameter, well hidden on the back side of the moon. I hear that Bill's reports of Draconian success are making the Draconian army waiting in the ship very happy. Jim ;-) Muth

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FOTD 19-09-05 (Discombobulation [7])
by Jim Muth 19 Sep '05

19 Sep '05

FOTD -- September 19, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(1.75)+C Mandeloid as it appears 3 levels down the logarithmic spiral. The parent Mandeloid resembles a Mandelbrot set rotated so that its east end is on the northwest and its main bud is on the southwest side of the main bay. All the parts are there, but they have been eroded by the deficient exponent of 1.75. Today's scene is located in an area of chaos radiating from the south branch of what passes for Seahorse Valley. I named the image "Discombobulation", which might or might not be a real word. If it is a real word, it means 'the state of having one's composure upset.' I rated the image at an above- average 7, most likely in recognition of the extra effort I put into coloring it. The render time of 3-1/5 minutes should try no one's patience, but there are those new-fangled machines out there, with those new-fangled operating systems and new-fangled video cards that don't get along with Fractint. For the convenience of those with such Fractint-challenged units, the finished GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may conveniently be downloaded. ;-) And speaking of new-fangled stuff, I think this Fractint incompatibility is part of a plot by a race of evil space aliens from the Draconian Empire, who are turning us into helpless technology-dependent wards, ready for easy enslavement. They say they only want to make our lives easier, but their real goal is to make us totally dependent on the technology they are giving us, which they will then unexpectedly withdraw, leaving us helpless to resist their attack. Watch carefully. In a few years they will start taking away our technological toys. Keep your eyes on the inexpensive old-style TV sets and the still-affordable vehicles powered by internal-combustion engines, which are some of the few things still around that were created by earth beings. The Draconians are already plotting to change the TV broadcast standards and make fuel for old-style vehicles prohibitively expensive, so that these devices will become useless. When the man at the Super-Everything-Mart tells us we'll need to buy super-expensive new-fangled TV's or hybrid vehicles that no human being can understand, you will know that we have reached the state of total dependency on Draconian technology, and the big takeover is near. Soon thereafter, the mobile phone networks and internet will be shut down, leaving us absolutely helpless, in a technological vacuum. Hopefully, the Draconians, who will rush in to save and enslave us, will give us at least some choice as to what kind of slave labor we will be forced to perform for them. ;-) The preceeding three paragraphs are not serious, or . . . no, it couldn't be. Partly cloudy skies and a temperature of 84F 29C here at Fractal Central on Sunday kept the fractal cats quite content for the afternoon. This morning is starting about the same. I expect a similar day. For me the day will hold both work and fractals. Until the next FOTD appears in 24 hours, take care and always be lucid. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Discombobulation { ; time=0:03:12.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.0518188352\ 8874057/-0.96001357819899460/156669.8 passes=1 params=1.75/0/-3/0 float=y maxiter=1800 inside=0 logmap=79 periodicity=10 colors=0008BU8BU8FV8HW8JX8LY8NZ8P_BR`ETaHVbKXcNZdQ\ `eSbfVeiYhk`kncnqfptirwktzgozdjw`drYZmUUhROcNJZKEU\ JGPJIKJLGJOFJRFJUEIXEI_DIbDIeCIhCNkBSlBXkCafDfaEka\ FpaGu`Gp`Hk`If`Ja`Ka_Kb_Ld_Mf_Nh_Oi_OhXPhVQgTRgRSf\ PTdNUcLVaJW`HX`FYcHWfIUhKSkLQmMOoOMqPKrRItSGuTEuSE\ uSDtSDtSDtSDsRDsRDsRDrRDrRDqQDqQCqQCpQCpQCpPCoPCoP\ CoPCnPCnOCnOCnOCmOBmOBmOBlNBlNBlNBkNBkNBjMBjMBjMAi\ MAiMAiLAhLAhLAhLAgLAgKAgKAfK9fK9fK9eJ9eJ9eJ9dJ9dJ9\ cI9cI9cI8bI8bI8bH8aH8aH8aH8`H8`G8`G8_G8_G7_G7ZF7ZF\ 7YF7YF7YF7XE7XE7XE7WE6WE6WD6VD6VD6VD6UD7UC8UC9TCAT\ CBTCCSBDSBERBFRBGRBHQAIQAJQAKPALPAMP9NO9OO9PO9QN9R\ N8SN8TM8UM9VMAWLBXLCYKDZKE_KF`JGaJHbKIcLJdMKeNLfOM\ gPNhQOiRPjSQkTRlUSmVTnWUoXVpYWqZXr_Ys`Zta_ub`vcawd\ bxecyfczgczhcziczjczkczlczmcznczoczpczqczrczscztcz\ uczvczwczxczxczxczxczxczxczxczxczxczxczxczxczxczxc\ zxczxczxczxczxczxczxczxcz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

2 1

Hyper-something
by jlewis 18 Sep '05

18 Sep '05

Looks like mysterious sea creatures are there to me! John -- John Lewis, jlewis(a)clara.net on 18/09/2005

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FOTD 18-09-05 (Hyper-Something [7])
by Jim Muth 18 Sep '05

18 Sep '05

FOTD -- September 18, 2005 (Rating 7) Fractal visionaries and enthusiasts: Something is wrong with today's image. It is actually part of the Mandelbrot set, but nothing in the M-set looks quite like this. The image looks as though it might be part of a fractal created by some exotic formula. The problem lies in the bailout radius, which in today's image has been reduced to 1. When the bailout radius is reduced to less than 4, the M-set is simply not all there. Some points of the M-set that are normally trapped do wander beyond a radius of 1, and when the bailout radius is set to 1, these points are mistakenly plotted as escaping points. Other points are plotted as escaping after too few iterations. A bailout of 1 removes the entire negative stem of the M-set and a good part of the large period-2 bud, while the part of the set that remains is strangely changed. The points that are plotted as escaping after too few iterations form bulging rounded patches. In today's image, these patches plump up the normally zig-zag filaments in the Siegel-disk area of the M-set, rounding them into the sinuous, strongly colored, curving lanes we see in the image. Today's image is hyper-something, but I can't decide what. I let the name go as "Hyper-Something". The rating of a 7 might be a bit inflated. The coloring isn't really that great. But there is no doubt of the render time, which is a speedy 3-3/4 minutes. The best part of all is that even the minor task of rendering may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. As I suspected might happen, no rain fell here at Fractal Central on Saturday, but the temperature reached 90F 32C, and this was too warm for the duo of fractal cats, who spent most of the day indoors on their air-cooled shelf by the window, watch- ing the birds. Today is starting clear and somewhat cooler. Things are looking better for the duo. For me, it looks like I might have to go along on one of those antiquing expeditions. But regardless of what else happens, the next FOTD will appear in 24 hours. Until then, take care, and don't get hyper. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hyper-Something { ; time=0:03:47.72--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.33666589415234680/+0.610402260976961\ 00/1629581/1/-112.5/-1.21918035944634795e-008 params=0/0 float=y maxiter=100000 bailout=1 inside=0 logmap=1400 periodicity=10 colors=000EJDFKFHLGIMIKNJLOLNOMPPNQQPSRQTSSVTTXVXW\ TUVSSVRQUQOTPMTOJSNHRMFRKDQJBPI9PH6OG4NF2NE0MD0MC0\ OG0QK0RO0TS0UW0W_1Yc2Zg2`k3ao4cs5dv5_q4Wm3Si3Ne2Ja\ 1FY1AT06P02L00H00D00900B00C00E00F00H00I00K00L00J00\ I01G04F08E0BC0FB0I90M80P70SA0TD0VG1YJ1_M2`O3aR4aU4\ aX5a_6ab5aa6``6__6_Z6ZY6ZX6YW6YV6YU6XT6XS6XR6XQ6XP\ 6XO6XN6XM6XL6XK6XJ6XI6XH6XG6XF6XE6XD6XC6XB6XA6X96X\ 86X52Y76Y99YBCZDFZFJZHM_JP_LS_NV`PZ`Ra`TdaVgaYkaWj\ aUi`SiXQhSOgOMgJKfFIfEK`DLWCNQCOLBPFARA9S49T0EV5JX\ BNYHS_NXaS`bYedcjfingnngnngnBbR6bT1bV0b40b90bE5cIB\ dNGeSLfWRg`Wge`giZgjYgjXgjWgjVgjUgkTgkRglQglPgmOgm\ NgnMgnLgnJgnIgnHgnGgnFgnEgnDgnCgnBgnAgn9gn9gn8gn7g\ n7gn6gn5gn5in4ln3nn4qn3pn3pn3pn3pn2on2on2on2on2on1\ pn1pn1qn1qn1qn0qn0qn0qn0qn0qn0qn0qn0qn0qn0qn0qn1qn\ 3qn5qn7qn9qnBqnDqnEqnGqnIqnKqnMqnOqnQqnSqnTqnTqnTq\ nSqnSqnSqnSqnSqnSqnSqnCqn } END PARAMETER FILE=========================================

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FOTD 17-09-05 (17-09-05 [7])
by Jim Muth 17 Sep '05

17 Sep '05

FOTD -- September 17, 2005 (Rating 7) Fractal visionaries and enthusiasts: Now that we've put the philosophy behind us, at least for a while, we can return our attention to the mysterious world of fractals and hyperspace. Hopefully, the quality of the images will not suffer now that the philosophy has ended. It was quite surprising to me how well the FOTD fractals turned out while I was philosophizing and putting virtually no effort into them. Could this be an indication that finding and coloring fractals might require intuition as well as reason? After all the philosophizing I have done during the past two weeks, I am not even going to guess. Today's image is a zoom into the center of yesterday's image. The midget at the center is not yet visible, but the surrounding pattern has truly blossomed. I have not yet decided whether I will go for the midget itself. If I do, the going will be very slow. The render time of today's image is almost 4 hours. And at the depth of the midget at the center, the render time would be close to 8 hours. Though I did not give today's image a name, I did give it a rating of an above-average 7. The render time of just under 4 hours is inexcusably slow, but salvation is there for the taking on the FOTD web site, where the completed image is posted. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remained warm and muggy on Friday here at Fractal Central. The temperature reached a July-like high of 87, but the showers stayed away from the area, giving the fractal cats an entire afternoon in the yard. Only a hint of tuna was needed to complete their day on a happy note. Today is starting warm and muggy again. Showers are forecast for later today, but I have a feeling it will remain dry. It has been quite dry around here lately, and there is a saying among old-time weather fore- casters that goes something like, 'when in drought and in doubt, leave it out'. ('It' of course, is rain.) One thing virtually certain however is the appearance of the next FOTD. It will appear right here in only 24 hours. Until that unprecedented moment arrives, take care, and there might be a drought of water, but there will never be a drought of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 17-09-05 { ; time=3:54:32.77--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.7466\ 779924439194447000130628/0.00431684878866485586600\ 532023/7.732008e+023/1/-27.5/1.310757058448075e-014 params=0/0 float=y maxiter=5000 inside=0 colors=000cdsdeqfgqhhqihqjinihjeee___bbbheclg_siVs\ gUsdSs`RsWOsUNsQMsMKsIHsFFsBCs7Bs68s68s67s66s69q6F\ nDMlLTjV`hcfhhhgefbgbehehhhjjjmnnlnqipugsyiosflqdk\ ncil`hjZfhZegWbeTabT_aRZ_PZYM_USZYU_YW_ZX``aaa`b`_\ bXXeWagTagQdhPdhMejLfjIjlFklElnBqq9gpCboB_nAWm9Sh8\ Pc9LZ7HU6EP4FK2KF2KA4K56L38M49N8BOBEPFHQJLSOPTPSUP\ UVPUWPUXPUYPUZPU_PU`PUaPUbPTcPSdPSePQfPPgMLhLKjJGm\ IFoFBqD8sIBuJCwODwPDwTFwWGwZGwaIwdJwhMwlMwnNwqOwtO\ xwQzzUzzZwzcuzhwzmwfVybXyXXzOVwXXuWWsWVqVVnVUlVThU\ SgTReTRbTRaTR_TRWRQUQPSQORPOPOONNNLLLR_NQYNQWOOUOO\ UOLSMJRMHPKGPKEPJERKCRJ9SK9RJ7PJ7NJ5JH4HG3GH3EH2DH\ 2DJ1CJ1AJ19L18L07L06N05N04N02P02P01P00R02P04N07L1A\ J2CH4EG6JGBRJEWKIaMNhODUKCRHBNGALE9HDAEC9DB8A97775\ 55NJROLSNLSOOUQQWPQYNQ_ORaOSbMSeLUgKVhJVhIXjHYlGZn\ F`qFasDbuCdwBfyAhzAhzDfyEeyFcyGbwIawJ`wMawN_uOZuPZ\ uRZuS_uU`uW`uXasZbs_bsacs } END PARAMETER FILE=========================================

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FOTD 16-09-05 (16-09-05 [NA])
by Jim Muth 16 Sep '05

16 Sep '05

FOTD -- September 16, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image shows a very deep scene on a filament extending from the large midget on the negative X-axis of the Mandelbrot set. Since I put almost no effort into coloring the image, I could neither name nor rate it. Being well into the range of arbitrary precision math, the scene renders in a slow 99 minutes. But I have sent the finished image on ahead to Paul at the FOTD web site, where it is posted ready for download. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of closing philosophy is included in the philofractal version of this discussion. Thursday here at Fractal Central was too warm, too humid, and had too many showers for the fractal cats, who satisfied themselves with less than one hour in the yard. Needless to say, it was necessary to break out the tuna in the evening. Today is starting about the same, with more showers in the area. For me it looks like a relatively normal day coming up, which should leave time enough for fractals. The next FOTD will appear in 24 hours. Until then, take care, and always reduce complexity to simplicity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 16-09-05 { ; time=1:39:28.82--SF5 on a P200 reset=2004 type=mandel center-mag=-1.7466779924439194447000123/0.00431684\ 87886648558660046/3.770274e+021 params=0/0 float=y periodicity=10 maxiter=5000 inside=0 logmap=1954 colors=00061u72r82oA3lB3iC4fE5cF5`G6YI6VJ7SK7PLANM\ CLNEKOGIPIHQKFRMESOCSQBUSCWTCXVCZWC_YCaZDc`DdaDfcD\ hdDkfEngEpiEsjEtkEneBh`9bW7XR5RM3MH1PLCSPNVSXYWg_Z\ qZYnYYkXWhWVeVUbUS_TRXSQURORQPOQQLRTMSWMTYMU`MVcNW\ dNWfNXgNYiOZkO_lO`nO`oOO_WCLcFObIRaLUaOX`Q_`Tb_WeZ\ ZhZakYcnYbkVaiTagQ`eO_cL_aJZ_GZYEYWBXU9XS6WQ4WO2WQ\ 3WS4WT4WV5WW6WY6WZ7W`8Wa8Wc9Wd9XeBXfCXgDXhEXiGXjHX\ jIXkJXlKXmMXnNXoOXpPXpQmt6isBerGaqLtUgrWepYdn_blaa\ kb_ntSfnR_hRSbRLXRESRFRSFRTGRUGQVHQWHQWHPXIPYIPZJO\ _JO`JO`VZeeijptnqpkmSWlVYkX_j_aiachdegegfgiehkYe_Q\ bOI_CAY0D_2Fa4Ib5Kd7Ne8PhASiBUkDXlFZnGaqIctJfvLhxM\ kzOmzPhzTdyW_xZWqaSpdNogJmjElmAkp6js9gpBdmDajFZhIW\ eKTbMQ`ONYRKVTHTVEQXBNZ8LSADLC6NF7OI8QL8RO9SR9UUAV\ XBX_BYbCZeCXdBWdAVc9Tc9Sc8Rb7Pb6Ob6Na5La4K`3J`3H`2\ G_1F_0E_0FY8FWFFUNFTUGR`GPhGNoGMvSHpbDkm8ex4`t8ZqC\ XmGVjKTfORcSPG4nC2r81v40y } END PARAMETER FILE=========================================

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FOTD 15-09-05 (15-09-05 [NA])
by Jim Muth 16 Sep '05

16 Sep '05

FOTD -- September 15, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's fractal is a scene deep in a star of the Mandelbrot set. I gave it no name and no rating. The render time of 41 seconds is so fast that little time advantage is to be gained by down- loading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> though those with Fractint-allergic machines may wish to do the download. The philosophy (if that's what it is) continues in the philofrac- tal version of today's FOTD. The weather started to deteriorate here at Fractal Central on Wednesday. The temperature of 84F 29C was fair enough, but occasional sprinkles of rain kept the grass a bit too damp for the paws of the fractal cats. Today is starting cloudy again, with showers nearby, it could be a questionable day. For me the day looks to be rather busy, but not so busy that I will lack time for the next FOTD, which will appear in 24 hours. Until then, take care, and seek the source. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 15-09-05 { ; time=0:00:41.53--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.29073301432692500/+0.064403040677763\ 15/2.033292e+008/1/117.5/7.50782949683059808e-005 params=0/0 float=y maxiter=5000 inside=0 logmap=572 colors=000IqeIqdIqcHqbHqaHq_GqYGrWFrUEsPDsKDtFCtAB\ u58w09v1Au2Bu3Bt4Cs5Ds6Er7Eq7Fq8Gp9HoAHoBInCJmDKmE\ KlELkFMkGNjHNiIOiJPhKQgLQgLRfMSeNTeOTdPUcQVcRWbSXc\ TWbSWaSV`RV_RVZQUYQUXPUWPTWOTVOTUNSTNSSMRRMRQLRPLQ\ PKQOKQNJPMJPLIPKIOJHOIHNIGNHGNGFMFFMEEMDELCDLBDDDF\ FCEHCEJBDLBDNBDPACRACT9BV9BW9BY8A_8Aa79c79e79g68i6\ 8k57m57m35n46n57n67n68n78n89n89n9AnAAnABnBBnCCnCCn\ DDoEEoEEoFFoGFoGGoHGoIHoIHoJIoKIoKJoLJoMKoMKpNLpOM\ pOMpPNpQNpQOpROrSPrSPrTQrUQtURtVRtWSwUVuWStXPtYNsZ\ Kr`IraFqbDpcArj5wh6wg7we8wd8ub9saAq`AoZBmYCkWDiVDg\ TEeSFcRFaPG_OHYMIWLIUJJSIKQGLOHKMIKLJJMJJMKJMLIMMI\ NMIPNHUPHZRHcSGgUGkWGoWFsXFwYFzZEzZEz`EzbDzdDzeDzg\ CzmCzrBzrCzqCzoCRiCReCSaCS_CTZCTYCUXCVXCVXCWWCWWCX\ WCXYCY_CYaCZcF_eK_gP`iU`kZamcaohbqmbsrcuvdwzdzzezz\ ezzfzzfzzgzzgzzhzzizzizzjzzjzzkzzkzzlzzozzmzzlzzjz\ zizzgzzfzzezzczzbzz`zz_zz } END PARAMETER FILE=========================================

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Re: FOTD 12-09-05 (12-09-05 [NA])
by Jim Muth 15 Sep '05

15 Sep '05

At 08:07 PM 9/13/05 -1000, David wrote: > >But fractals are real things, ... Said in jest, but a true philosophical statement. I don't know about you, but I'm not so sure that fractals are real. They are certainly not as real as the tree outside my window. Actually, I have never seen a real fractal. All I have seen are pictures of fractals. We have pictures of the fractal objects but no objects to take photographs of. Fractals are made of complex numbers, which are very useful abstractions, but they were created and exist only as mental constructs. By contrast, the tree outside my window is made of atoms, and from the number-filled books I have tried to read about quantum theory, I see that atoms are also apparently made of little more than numbers. The contrast has all but vanished. I am left with the quite philosophical thought that fractals and trees are made of the same stuff. This leads me to suspect that fractals might be more real than they appear, or maybe trees are less real. Jim (now questionably real) Muth

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FOTD 14-09-05 (14-09-05 [NA])
by Jim Muth 14 Sep '05

14 Sep '05

FOTD -- September 14, 2005 (Rating NA) Fractal visionaries and enthusiasts: The parent of today's fractal is a play on the negative square root of 2. Today's image is located in a tiny valley on the north shore of an unusually circular bay in the parent. I gave it no name and no rating. The image was rendered with the outside set to 'tdis'. The render time of 1/2 hour is on the slow side, so I recommend downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unfortunately, the graphic design work turned unexpectedly heavy on Tuesday, leaving no time to write the next installment of philosophy. But the heavy work is now out of the way, and the philosophy will continue on schedule in the next FOTD. It was somewhat warm here at Fractal Central on Tuesday, but the air was dry and the fractal cats were on their best behavior. I see increasing clouds overhead this morning, so it remains to be seen how things will turn out. The next FOTD will appear in 24 hours. Until then, take care, and do it again. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 14-09-05 { ; time=0:29:31.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.78214049798158600/+1.974931400915743\ 00/407908.6/1/77.5/4.92910025295945076e-010 params=4/-1.14142/0.04/-11.4142/0/-45 float=y maxiter=2400 inside=0 outside=tdis periodicity=10 colors=000U7_kTkXmvoM9oQFoULlWJjXIhYHfZFd`EbaD`bBZ\ cAXe9Vf7Tg6Rh5Pj3Nk2Ll1Jm0Lj4Mh8NeCOcGP`KQZNRWRSUV\ TRZUPbVMfWKiZErYIsXMsXPtWTtWXuV_uVcvUgvUjvWirXhoYg\ lZfh_feaebbdZccWdbTebPgaMh`Ji_FjZCkZ9ER9NVGVYMc`Tk\ cZhd`edaceb`ecZfdWffUggRghOgiMhjJhlHimEinCjo9jp7jq\ K`iXSbiIVv9OtASrBWpC_nDblEfjFjhGngGqlQfp_WthLpfKle\ JhdIdcI`bHXaGU`GQ_FMZEIYDEXDAWC6VB3UBD`9Ng7Xm5ft3o\ z1pw6quBqsFrqKsoPsmTtkYuibugfvekwcpwatoWkhQcaKWVEN\ O8FH27NELTQZYURbXKg`Dlc6ja7h_7gY7eW8dV8bT8`R8_P9YN\ 9XM9VK9TIASGAQEAXPAe_Nzq_nkTgbN`THUKBYM3`SAzKHoKOj\ KVhKahKhhKhhKhhKhhKghKgcKgTMg9OgAQfASfBTfBTeCUeCUe\ DUdDUdDUdFXlH_sIazJbyJcyJdxJexKewKfwKgwKhvNNZLiuLj\ uLktLltLltMhrMdqN`oNYnOUmOQkPMjPJiOLeNNaMPYMRVLTRK\ VNKWKMYNOZQP`TRaVScYUd`VfbXgeZih_jjalmbmpdorepugrx\ hsz_fvRUsIHpA5mefq`ikWkfRm`NoWMpYMp_LpaLqbLqdKqfKr\ gKriJrkJslIsnIspItqw6`y7_ } 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 PARAMETER FILE=========================================

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disc-video mode
by Russell Walsmith 14 Sep '05

14 Sep '05

Phellow Phractal Phreaks, 1) I seek to generate an image of approx 300dpi. What is the best way. 2) I supposedly generated a 2048x2048 disc-video image: where'd it go? Thanks, Russell

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Re: [Fractint] FOTD 12-09-05 (12-09-05 [NA])
by Jim Muth 14 Sep '05

14 Sep '05

At 10:08 PM 9/12/05 -1000, David wrote: >Believe me, the beauty of your fractals will far >outlast the philosophy! ;-) This is unbelievable. No fractal could possibly last that long! ;-) Jim M.

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FOTD 13-09-05 (13-09-05 [NA])
by Jim Muth 13 Sep '05

13 Sep '05

FOTD -- September 13, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when 2 parts of Z^(-0.9) are subtracted from Z^(1.1) and (1/C) is added. The extra interest was achieved by rendering the scene with the outside set to 'real'. Since I put almost no effort into the image, I did not bother naming or rating it. The render time of 15 minutes is fair enough, but for convenience the already-rendered image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy continues in the philofractal version of today's discussion. But the present outburst is nearing its end, and full attention will soon return to the proper topic of fractals. Absolute perfection describes the weather at Fractal Central on Monday. It also describes the behavior of the fractal cats, Thomas the orange and Tippy the tabby. My behavior is never perfect, so it doesn't describe me. Today is starting perfect. I expect more perfection from the duo. The next FOTD will appear in 24 hours. Until then, take care, and look for light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 13-09-05 { ; time=0:15:13.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.44989680100650410/+0.715849938204608\ 60/8799231/1/-82.5/3.12153761936051488e-008 params=1/1.1/-2/-0.9/0/0 float=y maxiter=1800 inside=0 outside=real periodicity=10 colors=00050F30800300000400900F00L00S00Y00d00k00s0\ 0z00z00z00x02s04o05k08f0Bc0EY3HV4FT5FQ7CQ8BP98PB5N\ B4NC2LE0LF0KH0KI0II0IP8VVSfamsfzzhzxiqskhkk_fmS_nK\ VlCQlBSlBSk9Tm9To8Vq8VsKXuLXwNXzPYzRYzT_zU_zNazKaz\ 2az7VsCPiIKaPETV9Ka4Ch05o00v00z00z0zXfqLahBYfE_fFa\ dHadIccKdcNdaPfaQfaSh_Ti_XiYYkY_mXamXcoXdo_foahmck\ kdmkhoiiqikshmthqvfsxftzd0zvQzmK00S00_97fQIohTB0EQ\ KNfdXC0YF0_I0_L4_P8aSEaVIaYNaaTcdYchdckidoqdsvddz0\ fz0hz0iz3kz7kz9mzEozHqzLqzPszTtzXvzazczxfzxixxkvxo\ svqovtmvvivzfazqdzofzmhzkizkkziozhqzhszftzd0Ks0_03\ c09f0Hi4PmBXqIdtQmxY00E00F22H44I77K99LCENFHNIKPLNQ\ PQSSVTVYVYaXadXdhYhm_kqaotcsxdL70SE4XL9aTFfaLkiSz0\ Qz0Nz0Lv0Ko0Ii4Hd8EYCCTHBPL9KQ8K_0IY0IX0HV0HT0FS0F\ Q0EP0EN0CL0CL0BK0BI09H09F08E08C07B0790790BE0vxcFI0\ IN4NQ7SVBV_F_dKdhNhmSmsXsxaQEF2zzIzzazo50zE0zL9zVL\ vc_ommiz00z00z00z70zE4zL9 } 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 PARAMETER FILE=========================================

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Fractint
by Albrecht Niekamp 13 Sep '05

13 Sep '05

Hi, and here`s another one Regards, Al. -------------------------start-par---------------------------------------- mfr020f { ; Love-san ; Albrecht Niekamp Sep.05 ; Time 00.10.51.53 AMD3500+ 1600/1200 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_ni ismand=y function=cosxx/conj/cosxx passes=t debugflag=322 center-mag=-1.52935713874380600/+0.22685868455183180/2558954/1/97.499999\ 9950250924/6.25112616531309229e-009 params=-0.8940855128635518/0.8105868709372235/384/256.1133/4094.00016/76\ 8.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj\ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2\ 5>iiijjjlll<3>sss<25>BBB999777555 } ------------------------------------------start-frm------------------------ FRM:Multifractal_ni { ; Albrecht Niekamp 24.3.03 ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=d<0 if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=da<0 if (t) da=-da endif start=2-t dd=trunc(da) da=round((da-dd)*100) if (dd<5) start=0 vb=(dd==3)+(dd==4) else d=trunc(dd/10000) vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) or1=d>5 d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=d>5 d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=d>5 d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-10*d d=trunc(dd) inr2=d>5 d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) endif ; d=trunc(da/10) da=da-10*d ab=d>=5 d=d-5*ab bb1=(d==1) bb2=(d==2) dd=da>=5 da=da-5*dd ab=ab+dd ab1=(da==1) ab2=(da==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=d>10000 da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=dd>=5 dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequ_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) d3=2*q*t rs=2*bo*(dd+flip(1))*t z2=center+(-q-bo*dd-flip(bo))*t z=pixel-z2 d=imag(conj(d3)*z)/imag(conj(d3)*rs) if (d<=level) da=level-d z=z+2*da*(1+ampl*sin(freq*da^0.2))*rs endif z=z+z2 endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z2=z*z z=z2*z2+(p6+u)*z2+c else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif bo<=ba } ----------------------------------------------------------end--------------- -

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Fractint
by Albrecht Niekamp 13 Sep '05

13 Sep '05

Hi, the images are zooms into earlier multifractals. MFR020c is a special one. Regards, Al. -------------------------start-par---------------------------------------- mfr019b { ; Albrecht Niekamp Sep.05 ; Time 00.11.10.98 AMD3500+ 1600/1200 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_ni ismand=y function=exp/exp/exp passes=t debugflag=322 center-mag=-1.62010666805022300/+0.15956589818278370/2527.54/1/94.999999\ 9999977973/2.04865985287128183e-012 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj\ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2\ 5>iiijjjlll<3>sss<25>BBB999777555 } mfr020c { ; Albrecht Niekamp Sep.05 ; Time 00.13.10.38 AMD3500+ 1600/1200 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_ni ismand=y function=cosxx/exp/exp passes=t debugflag=322 center-mag=-1.57419151437082700/+0.23350481704986090/4811.175/1/97.50000\ 00000149782/-1.54189438994478678e-011 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=0004B9<3>243121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Q\ h<3>0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120\ 00100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`\ g0_e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>\ 0T40V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4\ <5>0I20G20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVN\ AXM<3>DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL\ 9SK<3>7KE6IC5GB5DA } ------------------------------------------start-frm------------------------ FRM:Multifractal_ni { ; Albrecht Niekamp 24.3.03 ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=d<0 if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=da<0 if (t) da=-da endif start=2-t dd=trunc(da) da=round((da-dd)*100) if (dd<5) start=0 vb=(dd==3)+(dd==4) else d=trunc(dd/10000) vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) or1=d>5 d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=d>5 d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=d>5 d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-10*d d=trunc(dd) inr2=d>5 d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) endif ; d=trunc(da/10) da=da-10*d ab=d>=5 d=d-5*ab bb1=(d==1) bb2=(d==2) dd=da>=5 da=da-5*dd ab=ab+dd ab1=(da==1) ab2=(da==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=d>10000 da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=dd>=5 dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequency_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) d3=2*q*t rs=2*bo*(dd+flip(1))*t z2=center+(-q-bo*dd-flip(bo))*t z=pixel-z2 d=imag(conj(d3)*z)/imag(conj(d3)*rs) if (d<=level) da=level-d z=z+2*da*(1+ampl*sin(freq*da^0.2))*rs endif z=z+z2 endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z2=z*z z=z2*z2+(p6+u)*z2+c else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif bo<=ba } ----------------------------------------------------------end--------------- -

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rttyman1 is a *very* nice fractal
by Hal Lane 13 Sep '05

13 Sep '05

######################################################## >Date: Sat, 10 Sep 2005 23:56:07 -0300 >From: "marcusadriana" <marcusadriana(a)mls.com.br> >Subject: [Fractint] Found it !!! >To: <fractint(a)mailman.xmission.com> >Message-ID: <001201c5b67c$5bea5150$0601070a@user81d6f07b1c> >Content-Type: text/plain; charset="iso-8859-1" > >I was looking for the right fractal under a different name: "Rytman" >doesnÂ´t exist, but RTTYman does, thanks again to Bob Margolis. >As it is almost 8 years old (and difficult to find), I take the liberty >of reproducing it. ItÂ´s pure Moire. >JUST TRY IT - again ! rttyman1 is a *very* nice Moire fractal. Thanks for bringing it to my attention, Marcus. I think I may have actually seen it 8 years ago! Great job, Bob Margolis! - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ######################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.23/99 - Release Date: 9/12/05

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Re: [Fractint] Fractint
by nick.grasso＠nasrecruitment.com 13 Sep '05

13 Sep '05

Albrecht Niekamp wrote: >The monitor shuts off whatvever >I do after the splash screen. The textwindow >can be called by the cool switch and the monitor >reawakens, but the image is gone. >Translated Windows error message: > "Fractint cannot be restored" > >Is there anything else I can do? >"Real Dos", the switched WIN98 DOS mode doesnt work >either because the performance is unacceptable. >All I can do is to boot DOS7 from the second harddisk. Albrecht, You could try buying a new video card. Be sure to get one that supports the old DOS VESA modes. The old Matrox cards used to be good. Nick

3 3

FOTD 12-09-05 (12-09-05 [NA])
by Jim Muth 13 Sep '05

13 Sep '05

FOTD -- September 12, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image has been given no name and no rating. It is part of the parent fractal that results when negative Z and negative (1/Z) are combined and C is added. Most of the interest was achieved by rendering the image with the outside set to 'summ'. With a render time of 4-3/4 minutes, the parameter file finishes fast. And as always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I am giving my FOTD fractals no names or ratings because all my energy is being directed toward the philosophy, which continues in the philofractal version of this discussion. I will resume giving the FOTD images names and ratings when the current out- burst of philofractal philosophy runs its course. The weather here at Fractal Central on Sunday was totally perfect, as were the fractal cats. The great cat is indeed rewarding their good behavior. My day was fair enough, and today, which is starting absolutely perfect, promises to be equally good. The philosophy and fractals will continue in the next FOTD, due to appear in 24 hours. Until then, take care, and be ever alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 12-09-05 { ; time=0:05:30.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=b center-mag=+2.50254758491256500/+0.035589830846933\ 83/5.380148e+008/1/-65.0002910944613319/0.00032455\ 338348423568 params=-1/1/-1/-1/0/-50 float=y maxiter=1000 inside=255 outside=summ periodicity=10 colors=000u9fu4ip8glBehEcdIa`L_XOYTRWPVULYSH`QDdO9\ gM5jK1mJ3eG4YD5RB6J87B584376768B6AF5CJ5DN4FR3HV3JZ\ 2Lb2MfHLbVKZhJWiHYjG_kFalEcmDenCfmBdlBckBbjB`iB_hB\ ZgBXfBWfBVeBUdBTdBScBRcBQbBPbBOaBOaBN`BM`BL_BK_BJZ\ BIZBITAGNAEMFHMJKLONLSPKXSK`VJeYJi_rDEqFFpHGoJHnLH\ nNImPJlRJkTKjVLjWLe_NacOYfQTjRPmTLqUHtVy0jw4lu7mtA\ nrEpqHqoKrnNskPjhQaeRTbSK`TBYZ9Vd8Ti7Wg8Yf9_eAbdBd\ cCfbDefIdjNcnSbrXava`zeXsdUldRedOZcKScHLcEEbB7b80b\ klznntqootqjwreuofslfqjgoggmdhkahi_igXieUjcSjeWeg_\ aicXkgTmkOooKqrGRTE14C59F8EICJLFPOIVRM_UPeXSi_WmbZ\ qeatg3ue2mi1el1Zo0Rr0Ku2Lr4Mp6Nm8NkAOhCPfEQcFQaHR_\ JSXLTVNTSPUQRVNTWLUWJXRKdMLkIMzDNzZOoFVQ0`80U20U20\ U20U20U20U10U10U10U10U10Z00c00c00c00h00k10l20n3An4\ Km5Pn6Wo7_o8bo8eo9dmAdkBdiCdhDdfDddEdbFdaGd_HdYHdX\ IcRIbMIaHI`CI`7PYEVVL`SSfPZlNekNekMfkLfjKfjJgiIgiH\ giGhhGhhFhgEigDigCiuFb000 } 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 PARAMETER FILE=========================================

2 1

Found it !!!
by marcusadriana 12 Sep '05

12 Sep '05

I was looking for the right fractal under a different name: "Rytman" doesn´t exist, but RTTYman does, thanks again to Bob Margolis. As it is almost 8 years old (and difficult to find), I take the liberty of reproducing it. It´s pure Moire. JUST TRY IT - again ! rttyman1.gif { ; Bob Margolis <rttyman(a)wwa.com> ; spiral #1 ; Fri. 28 Nov. 1997 reset=1960 type=formula formulaname=contest4 passes=1 center-mag=-0.59936347650278510/-0.04191765499206602/5701.719/1/79.999 params=0.75/0.15 float=y maxiter=600 inside=bof60 outside=real logmap=58 invert=0.5/0/0 distest=2/1/640/480 colors=000<3>00111100222200333300444400555500555500666600777700888800999 \ 900AAAA00AAAA00BBBB00CCCC00DDDD00EEEE00FFFF00FFFF00GGGG00HHHH00IIII00JJJ \ J00KKKK00LLLL00LLLL00MMMM00NNNN00OOOO00PPPP00QQQQ00QQQQ00RRRR00SSSS00TTT \ T00UUUU00VVVV00VVVV00WWWW00XXXX00YYYY00ZZZZ00____00____00````00aaaa00bbb \ b00cccc00dddd00eeee00eeee00ffff00gggg00hhhh00iiii00jjjj00jjjj00kkkk00lll \ l00mmmm00nnnn00oooo00oooo00pppp00qqqq00rrrr00ssss00tttt00tttt00uuuu00vvv \ v00wwww00xxxx00yyyy00zzzz00fzzz00zyyy00yxxx00xwww00wvvv00vttt00tsss00srr \ r00rqqq00qppp00onnn00nmmm00mlll00lkkk00jjjj00ihhh00hggg00gfff00eeee00dcc \ c00cbbb00baaa00a```00____00ZYYY00YXXX00XWWW00VVVV00UUUU00TSSS00SRRR00QQQ \ Q00PPPP00OOOO00NMMM00LLLL00KKKK00JJJJ00IHHH00HGGG00FFFF00EEEE00DDDD00CBB \ B00AAAA009999008888007777005555004444003333002222 cyclerange=1/1 } contest4 {; Kerry Mitchell ; slightly optimized version of Contest formula z=p1, c=pixel: z2=sqr(z), z=z*z2+c*(1+z-z2), |z| <= 4 } Thank you Marcus Rezende

2 1

RE: textsafe=save in sstools.ini "...should work on all adapters in all modes..."
by Hal Lane 11 Sep '05

11 Sep '05

> Maybe the drivers [are the probblem], the graphics card > works perfectly with booted DOS 7. Perhaps the manufacturer of your graphics card has an updated set of drivers for Windows operating systems. ---------------------------- >> Did this happen with: textsafe=save in sstools.ini? > >Yes, it does not help in my case. Its surprising that textsafe=save doesn't work because textsafe=save "tells Fractint to save/restore the entire image. Expanded or extended memory is used for the save if you have enough available..." It looks like your graphics card drivers are not implementing the image save and restore correctly. Maybe the manufacturer of your graphics card has an updated set of drivers for Windows operating systems. -------------------------- >> >and the monitor reawakens If by "monitor reawakens" you mean that you let the power management timer routine dim the brightness of your monitor after a specified period of time, I also get bad pixels in Fractint when my monitor powers down automatically. To prevent this while running fractint I tell the Power Management routine (the icon is a picture of a gray battery behind a gray electrical plug) to no longer dim my monitor. (Set "Turn off Monitor" to "Never" and click OK). When I am no longer using Fractint I turn the automatic monitor power down feature ("Turn off Monitor") back to "5 minutes". Since the monitor never dims while I am viewing an image being calculated, I never get bad pixels from the monitor being powered off and on. ----------------------------- You probably want to use your computer to do other things while an image is being calculated -- as I do. Here is what I do: I use a Win98 screen resolution of 1280 x 1024. (The exact resolution is not important.) I use the Fractint View Window <v> option "Preview Display" set to "yes" and an "Auto Window Size Reduction Factor" of 4 (6 for very slow images) to quickly find the image I want to calculate. Calculating these small images using Fractint's View Window speeds up calculating an image while looking for a pleasing image. If it will take a long time to calculate the final full resolution image (with "Preview Display" set to "no"), I use a Disk Video mode to start the calculation. Since the "Disk Video is in progress" screen is a text screen I can type <alt><enter>. This changes the Fractint program to a window on the Win98 desktop and I can use my computer for other tasks while the image is being calculated. I have even had multiple instances of Fractint running at the same time in Disk Video mode in Win98 windows. They seemed to share the CPU cycles approximately equally. I don't get too bad a slowdown of the other Win98 tasks I do while Fractint is running windowed in Disk Video mode even though my CPU is only 400 MHz. -------------------------- By the way, to return to full screen Fractint -- to save the image calculated in Disk Video mode -- after selecting the windowed DOS Fractint text window with <alt><tab> I use <alt><enter> to maximize the window to full screen. <alt><tab> is only used to *select* windows on my -- system, it does not to change their size. <alt><enter> is used to change a program from windowed to full screen or full screen to windowed. If using <alt><tab> to select the Fractint window also changes its size to full screen on your system, it could be that the default window size for your DOS session window is full screen instead of windowed. This can be changed in the properties of the link or icon used to run the DOS session window. So that I didn't have to permanently change my DOS session icon's window properties I created an icon to run Fractint. To create the icon on my task bar I "right dragged" FRACTINT.EXE to the my task bar and released the right mouse button and then chose "Create shortcut(s) here". On the icon's Properties (right click the icon) "Screen" tab I set its default window size to "Full Screen". I also have "Display toolbar", "Restore settings on Startup" and "Fast ROM emulation" checked. On the "Memory" tab I have the Memory settings set as all "Auto". On the "Misc" tab "Allow screen saver" is unchecked. And "Idle sensitivity" is set to "High". "Always suspend" is unchecked -- this is very important! If you don't uncheck this box Fractint will not get any CPU cycles when it is windowed. On the "Program" tab, "Run" is set to "Maximized" and "Close on exit" is checked. ------------------------------- I have just realized that when you say: >a restored image is >destroyed, partly >overwritten >by the text you may be using the word "restore" to refer to when you undim your monitor. I had assumed that you were referring to images restored using Fractint's "restore image" function that you get to by typing the <r> key. Are you using the word "restore" to refer to when you power your monitor back on? <---<< ------------------------------- Please let me know if not letting your monitor dim stops this form of pixel corruption in Fractint. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Albrecht Niekamp [mailto:Albrecht.niekamp@t-online.de] >Sent: Saturday, September 10, 2005 5:57 AM >To: Hal Lane >Subject: Re: textsafe=save in sstools.ini "...should work on all >adapters in all modes..." > > > >----- Original Message ----- >From: "Hal Lane" <hallane(a)earthlink.net> >To: "Philofractal" <philofractal(a)lists.fractalus.com>; "Fractint_msg" ><fractint(a)mailman.xmission.com>; <Albrecht.niekamp(a)t-online.de> >Sent: Saturday, September 10, 2005 1:39 AM >Subject: textsafe=save in sstools.ini "...should work on all >adapters in all >modes..." > >> Did this happen with: textsafe=save in sstools.ini? > > >Yes, it does not helpin my case. Only if Fractint is started from a " >windowed" DOS Commander >I have text and image, but even then a restored image is >destroyed, partly >overwritten >by the text. > > > >> >> >> I use textsafe=save on my vanilla Gateway 400MHz Pentium II >> under Win98 and I don't lose restored images when I switch >> to a text screen and back -- and the speed is OK. >> >> ----------------------------------------------------------- >> >The textwindow >> >can be called by the cool switch and the monitor >> >reawakens, but the image is gone. >> >> What are you referring to by the phrase "cool switch"? >Alt_tab> >> ----------------------------------------------------------- >> These problems are almost certainly related to your graphics card >> and/or its drivers. > Maybe the drivers, the graphics card works perfectly > with booted DOS 7. The WIN98 "Real DOS" performance is not acceptable, > calculation time increases 3 or 4 times. >> As a last resort: >> I note that nick.grasso(a)nasrecruitment.com writes: >> >> "You could try buying a new video card. Be sure to >> get one that supports the old DOS VESA modes. The old >> Matrox cards used to be good." >> >> ------------------------------------------------------------ > -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.21/96 - Release Date: 9/10/05

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FOTD 11-09-05 (11-09-05 [NA])
by Jim Muth 11 Sep '05

11 Sep '05

FOTD -- September 11, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image is a scene along the eastern shoreline of the main bay of the fractal that results when the formula Z^(1.9)+C is iterated by the MandelbrotBC2 formula. I gave it no name and no rating. Its render time is a short 3-3/4 minutes, but even this short time may be cut further by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Most of today's discussion does not directly concern fractals, and appears only in the philofractal version. The weather on Saturday here at Fractal Central was quite perfect. But the fractal cats seemed unusually subdued. They must be mourning all the cats that perished in the disaster. I'll be pondering various things for the rest of the day. The next FOTD will appear in 24 hours. Until then, take care and all one needs to do is be himself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 11-09-05 { ; time=0:03:42.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.19278290085102230/+0.157030841853844\ 90/2.836628e+008 params=1.9/0/0/0 float=y maxiter=1000 inside=0 periodicity=10 colors=000hfZie`jcakbbladm_enZfr`fnYgjWhfUibSjZPkV\ NlRLmNJnJGoFEpBCq7Ar48r58n58k68h68e78b78_88X88U98R\ 98OA8LA8IKDEUIBbP6cN8cMAcLCcKDcJFdIHdHJdGKdEMdDOeC\ QeBReATe9Ve8X_8Pe7Yj6fo6on9pmCplEplHpkKqjMqiPqiRqh\ UrgXrfZrfaredsdfsciscks_flWaeSYZPTSLOLHKEDF7AB1BA4\ CA6CA8D9AE9CE9EF8GF8IG8LH7NH7PI7RJ6TJ6VK6XK6ZN8YPA\ YRCXUDXWFWYHW`IVbKVdMUgNUiPTkRTnSSpUSrWRtXRsWQsVPs\ VOsUNsUMsTLsTKsSJsSIsRHtTCsRGsQKsOOsNRsLVsKZsIasHe\ sFisElsCpsBtsAwtButCsuDquEpvFnvGlvHjwIiwJgxKexLcxL\ bvPauS`sW_rZZpbYoeXmiWllVjpUisTjuQhtSgrTfnVdkWcgYb\ cZ```_XaZTbXQdWMeVIgUIhSBjR7kR0hO4fK8bECY8GT2KQ4NN\ 6PQ8ST9VWBYZD`aEcdGfgIijJjlLjkNikOikQhkRgkTgkUfkWe\ kXekZdk`dn_dk_dhZdeZdbYd_YdXXdUXdRWdOUc4WdLraZr`ap\ _`nYZlWYjUXhSVfRUdPSbNR`LQZJOXHNVGMQFPMFRHFUDFW8FZ\ 4F`p4N0Fb6H`BJ_GLZLNYAzhQPXQOZQNaQMcQLfQKhQJkW8tQI\ mKRfF__bnRcmTdlUejVfiXghY } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END PARAMETER FILE=========================================

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Fractint
by Albrecht Niekamp 10 Sep '05

10 Sep '05

Hi, as I received no reply here is my question again as I am certain that some one of those DOS scientists knows the answer: Under WIN98 in the DOS/shell what can I do to keep image and text window from interfering ? Regards, Al -------------start-par---------------------------------------------------- multi215a { ; Time 00.03.07.09 AMD3500+ 1600/1200 ; Brassware_1 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifrac_215 function=exp passes=t center-mag=-1.68383803411977200/+1.75215500932782900/36.04383/1/-60.0000\ 000000002132/1.2760625889285393e-013 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3\ >7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS\ <3>VMCRI8OE4KA0000<43>000<4>000330<11>110110110<3>000KA4<7>gcOjgRmjT<3>z\ zc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<27>000 } multi215b { ; Time 00.05.06.54 AMD3500+ 1600/1200 ; Brassware_2 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifrac_215 function=exp passes=t center-mag=0.512832/-3.88578e-015/3.205128/1/-90/3.88578058618804789e-01\ 6 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3\ >7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS\ <3>VMCRI8OE4KA0000<43>000<4>000330<11>110110110<3>000KA4<7>gcOjgRmjT<3>z\ zc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<27>000 } ----------------------------------start-frm-------------------------------- FRM:Multifrac_215 { ; Albrecht Niekamp feb,03 ;p3=julia seed fac=real (p1) bailout=imag(p1) out=real (p2) border=imag(p2) z=pixel c=p3 t=0 start=1 x=0 y=0 : y2=y*y x2=x*x x=x2-y2-real(c) y=2*x*y-imag(c) z=(z*x)^(z*y) if (start) t=t+1 if (|z|>=border) || (t>out) u=2*(fn1(t/fac)) z=pixel c=p3*u start=0 x=0 y=0 endif endif |z| <=bailout } --------------------------------------end---------------------------------

3 3

FOTD 10-09-05 (10-09-05 [NA])
by Jim Muth 10 Sep '05

10 Sep '05

FOTD -- September 10, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image subtracts 10 parts of Z^(-0.4) from Z and adds (1/C). The resulting parent fractal is a Mandelbrot set distor- ted into a hyperbola. The scene is located on the shoreline of this hyperbola. The special effects were achieved by rendering the scene with the outside set to 'atan'. Since I put almost no effort into the image, I gave it no name or rating. The render time of 22 minutes is a bit dragging. The most efficient way of viewing the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed GIF image from there. The philosophy appears in the philofractal version of this discussion. Only some haze and a few clouds kept the day from being absolute- ly perfect here at Fractal Central on Friday. The fractal cats were angelic. Today is starting the same but with light fog. I expect good things from the duo. For me the work is minimal, which should give lots of time to ponder my philosophy. The next FOTD will appear in 24 hours. Until then, take care, and what would it mean if nothing but nothing really were real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 10-09-05 { ; time=0:22:07.22--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.27895512845111370/+0.137434054018250\ 30/801544.6/1/-37.5/1.57385299515144794e-008 params=-10/-0.4/1/1/0/1500 float=y maxiter=3500 inside=0 outside=atan periodicity=10 colors=000UYgUXfUXfNckHipAou4uz5jo5_d6PU6EJ9GICIHF\ KGIMGLOFOQERSEUPJWMNYJR_HVaEZcBbe9fSUPFn7jyf7LCBKK\ FJRIIYMHdQGkTGrREjPCbNAVM8OK6GI48H21O98UFF_LLcPRfT\ XjXbm`hqdnthtwkzUeg1_P3WT5SW7PZ9LaBHdDEgEKiEPjFUkF\ ZlKYoOYrSYuWYx_YzdXshXmlXgpWatWWxWQqVSjVUcVWXVYQV_\ JVaDVcG`gIfjLlmNqpOtqPwqQulQsgRrbRpZSnUSmPTkKTjG_d\ Ie_JlVLrQMxLNyLMyLLyLKyLJyLIyLHyLGyLGnSRdZaVelLlvS\ hhYeVcbHi_3aU8VPDOJIB5NA9UKLWUU_cecmsfksdhsb4Mt4Mt\ 4Mu4Mv4Mv5Ot5Ps6Qr6RqJsL6Sp7Tn7Um8Vl8Wk8Xj9Yi9ZgA_\ fA`eAadBbcBcaCd`Ce_CfZDgYDhXEiVEjUEkTFlSFmRGnPGoOG\ pNHqMHrLwwkuvjtvisvhrvgqvgovfnvemvdlvdkuciubhuagu`\ fu`eu_cuZbuYauY`tX_tWYtVXtUWtUVtTUtSStRRtRQsQPsPOs\ OMsNLsNKsMJsLIsKQNxPQtOTpNWlMZiLaeLdaKgYJjVImRHpNc\ 4zb6ya7xa8w`9v`Bu_Ct_DsZErZFqYHpYIoXJnXKmWLlVNkVOj\ UPiUQhTRgTTfSUeSVdRWcRYbQZaQ_`P`_PaZOcYNdXNeWMfVMg\ ULiTLjSKkRKlQV`kV_jVZiUZh } 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 PARAMETER FILE=========================================

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textsafe=save in sstools.ini "...should work on all adapters in all modes..."
by Hal Lane 09 Sep '05

09 Sep '05

################################################################# From: "Albrecht Niekamp" <Albrecht.niekamp(a)t-online.de> > But if I restore > a saved image, it also is destroyed as soon I try to call a text screen. Did this happen with: textsafe=save in sstools.ini? I use textsafe=save on my vanilla Gateway 400MHz Pentium II under Win98 and I don't lose restored images when I switch to a text screen and back -- and the speed is OK. ----------------------------------------------------------- >The textwindow >can be called by the cool switch and the monitor >reawakens, but the image is gone. What are you referring to by the phrase "cool switch"? ----------------------------------------------------------- These problems are almost certainly related to your graphics card and/or its drivers. As a last resort: I note that nick.grasso(a)nasrecruitment.com writes: "You could try buying a new video card. Be sure to get one that supports the old DOS VESA modes. The old Matrox cards used to be good." ------------------------------------------------------------ This is what the Fractint 20.04 docs say about textsafe= : "TEXTSAFE=yes|no|bios|save When you switch from a graphics image to text mode (e.g. when you use <F1> while a fractal is on display), Fractint remembers the graphics image, and restores it when you return from the text mode. This should be no big deal - there are a number of well-defined ways Fractint could do this which *should* work on any video adapter. They don't - every fast approach we've tried runs into a bug on one video adapter or another. So, we've implemented a fast way which works on most adapters in most modes as the default, and added this parameter for use when the default approach doesn't work. If you experience the following problems, please fool around with this parameter to try to fix the problem: o Garbled image, or lines or dashes on image, when returning to image after going to menu, <tab> display, or help. o Blank screen when starting Fractint. The problems most often occur in higher resolution modes. We have not encountered them at all in modes under 320x200x256 - for those modes Fractint always uses a fast image save/restore approach. Textsafe options: yes: This is the default. When switching to/from graphics, Fractint saves just that part of video memory which EGA/VGA adapters are supposed to modify during the mode changes. no: This forces use of monochrome 640x200x2 mode for text displays (when there is a high resolution graphics image to be saved.) This choice is fast but uses chunky and colorless characters. If it turns out to be the best choice for you, you might want to also specify "textcolors=mono" for a more consistent appearance in text screens. Fractint Version 20.04 Page 136 bios: This saves memory in the same way as textsafe=yes, but uses the adapter's BIOS routines to save/restore the graphics state. This approach is fast and ought to work on all adapters. Sadly, we've found that very few adapters implement this function perfectly. save: It should work on all adapters in all modes but it can be slow. It tells Fractint to save/restore the entire image. Expanded or extended memory is used for the save if you have enough available; otherwise a temporary disk file is used. The speed of textsafe=save will be acceptable on some machines but not others. If this method is too slow, try the other textsafe modes. The speed depends on: o Cpu and video adapter speed. o Whether enough expanded or extended memory is available. o Video mode of image being remembered. A few special modes are *very* slow compared to the rest. The slow ones are: 2 and 4 color modes with resolution higher than 640x480; custom modes for ATI EGA Wonder, Paradise EGA-480, STB, Compaq portable 386, AT&T 6300, and roll your own video modes implemented with customized YOURVID.C code. If you want to tune Fractint to use different "textsafe" options for different video modes, see "Customized Video Modes, FRACTINT.CFG" (p. 155). (E.g. you might want to use the slower textsafe=save approach just for a few high-resolution modes which have problems with textsafe=yes.)" (Get the complete docs by typing FRACTINT MAKEDOC in a DOS window whose current directory is the Fractint directory. This creates the file: FRACTINT.DOC I renamed FRACTINT.DOC to FRACTINT.TXT to associate it with a text editor that starts up more quickly than MS Word.) - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################################# -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.19/93 - Release Date: 9/8/05

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Re: Fractal Monk
by JackOfTradeZ 09 Sep '05

09 Sep '05

ok ok OK! - I get it! I feel like a dork - I oughtta hunt that F@#! down for that! Well try these then, animations of Russ Wallsmith images posted a short time ago: Psychotic Sunset. WMV 640x480 55 sec 10 meg: http://www.fractal-animation.net/sunset.zip Rainbows and Crop Circles. WMV 640x480 32 sec 6 meg: http://www.fractal-animation.net/rcc.zip Cheers JoTz

1 0

Re: Mandelbrot Hoax
by Harry Bissell Jr 09 Sep '05

09 Sep '05

LOL !!! Hey I saw those old parchaments with the Udo mandelbrot. But I could not get it to color cycle with Fractint. What am I doing wrong ? Is it a windows problem ?? Anybody have the .par files ??? <bfg> H^) harry (lurking again zzzzzzzzz........)

1 0

FOTD 09-09-05 (08-09-05 [NA])
by Jim Muth 09 Sep '05

09 Sep '05

FOTD -- September 09, 2005 (Rating NONE) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley of the large midget on the main stem of the Z^2.00001+C Mandeloid. Because I put so little work into it, the image has been given no name and no rating. The render time of 4-1/2 minutes is well within reason. If this brief time is still unreasonable, the already-rendered GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philofractal version of today's discussion has far more meat than the Fractint version, which has been trimmed to include only the fractal stuff. Absolutely perfect weather here at Fractal Central on Thursday made the fractal cats very happy. Finishing the work at a reasonable hour made me very happy also. Happiness produces good fractals, so we'll see how tomorrow's fractal turns out. Until then, take care, and ask for answers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 09-09-05 { ; time=0:04:30.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotN passes=1 center-mag=-1.748488868027091/+0.00004664243680436\ /2.591476e+012/1/-82.5/0 params=2.00001/0/0/0/0/0 float=y maxiter=1000 inside=0 logmap=177 periodicity=10 mathtolerance=0.05/1 colors=000SJWPLWNNWLPWJSWHUWFWWDYWB`W9bW7eW1gW0jW0\ nW0rW1uW6wWBzWJzmPzsJxzDsz9kz4bz1Wz0Mz0Cs04j00U000\ W0Sz0zv0eS4L4S40v00p00m00g00e00`00Y00W00300F10U10j\ 30z41z7UzBS`4S11`09g0Lj0Jj0Jj0Jm0Jm0Jm0Jm0J`0DS09J\ 06B134610D00L0bSzYYmWb`SjSPpHLx7Jz1Wv3jm3ze4zY4Uj1\ 0x00z01z04z07z0Bz0Fz0Jz0Nz0Sz0Uz0Wz0Yz0`z0bv0em0ge\ 0jY0mS0pL0sF0v90x40z10z00S001000000000000000001006\ 00B40H90NF0UN0`U0g`0pj0xs0zz0zz0zz0zz0zz0xz0vz0sz0\ pz0mz1jz1gz3ez4bz6`z7Yz9WzBUzBSxBPpBNgBL`BJUBHNBFH\ DDBDB6D91D70D60D40D30DP0WpBsWSNFg1Db0DY0DW0DS0DN0D\ L0DH0DF0DB0D70D60D30D10g0Nz0zz0zz0zp0vg0jY0bS1UJ3N\ D6F6991D30H00L00N00B001710J40W90jDWzPWzbWzpWz0W00W\ BpWx7W00WxzWHzWSzWbsWpmWzzW30W00W00g01g63vJJzJbzJz\ zJzzJzzHezHNzF9zFSz00z00z00zB6zz1zm0zP1zN4zN7zN0z9\ 0z00z00zB0z70z40z30zNSzjszmzzmzzezzYzzSzzL0zD1zYPz\ xvzzszxszYszF7zPHzYHzmJzW } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 08-09-05 (08-09-05 [NA])
by Jim Muth 08 Sep '05

08 Sep '05

FOTD -- September 08, 2005 (Rating NONE) Fractal visionaries and enthusiasts: Today's image resulted when I combined 3 parts of Z^(0.6) with 3 parts of Z^(-0.5) and added C. I rendered the image with the outside set to 'tdis' and the inside set to 'bof61'. Since I did almost no coloring work, I gave the image no name and no rating. The render time of under 8 minutes can be cut to a minute or so by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy continues in the philofractal version of this discussion. Tuesday's weather was absolutely perfect here at Fractal Central, but the weather on Wednesday was even better. Needless to say, the cats were ecstatic. I was reasonably satisfied when I got the 2 jobs wrapped up. The next FOTD image, complete with philosophy, will appear in 24 hours. Until then, take care, and live in hope, not in delusion. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 08-09-05 { ; time=0:07:40.82--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-5.17111634253247700/+0.463144114885557\ 70/6167.77/1/-95/5.70566448254705705e-010 params=3/0.6/3/-0.5/0/0 float=y maxiter=1000 inside=bof61 outside=tdis periodicity=10 colors=000Yahaageaff_dgZbhY`iXZjWYkVWlUUmTSnSQoRPT\ `G7j78jA9kCAkFBlHCmKDmMEnPGtVFqTFnRElPEiN_jTgZXoN`\ wBcvA_u9Wt8Ts7Pr6Mq5Ip4Fo3Bo28m7DkCHiHMhMQfRVdWZb`\ caegU`hMWhERi7MiFRjNWkV`lbemjjnqnooklmijkghiefhcdf\ `adZ_bXY`VW_TUYQRWOPUMNSKLRIJTKHVMGWOEYQDZSB`UAbW9\ cY7e_6fa4hc3id2if5ig8ihBijDikGilJimMioOipRiqUirWjp\ VkoUlmUmlTnjSoiSogRpfQqdQrcPsaOt`OuZNuYNq_Nm`NiaNe\ bNacNYdNUeNQfNMgNIhNEiN2oP6lOAjNDhMHfMKdLObKR`KVZJ\ ZWIaUIeSHhQGlOGoMFsKEzB9xFCvIEtLHsOJqRLoUOmXQtdGpa\ Ml_SqbXn`Xk_XiYXfXXdVXaUX_SXXRXgJm`NdVQXPTPIWGCZ86\ a07`18_19_2AZ2BY3BY3CX4DX4EW4FV5FV5GU6HT6IT7JS7JS7\ SXA``DidGrhIqeHpcHp`GoZGnXFnUFmSElQElNDkLDnLEkJDhI\ CfHBcFAaE9ZD8WB7UA6R95R41Q63Q74P85PA7OB8OC9NEBNFCM\ GDMIFLJGLKHKMJKNKJOLENIGOKIOLJPMLPONQPOQQQRSSRT8hs\ J_fTRUZDF`FGaHHbJIcKJdMKeOKfQLgRMiTNjVOkXOlYPm_Qna\ RocSTVY`ZWhaUpdSMbkQajUai } 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 PARAMETER FILE=========================================

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Albrecht, email me re DOS Fractint under Win98 if you wish.
by Hal Lane 08 Sep '05

08 Sep '05

################################################################# >Albrecht Niekamp wrote: > >> as I received no reply here is my question again as I am >> certain that some one of those DOS scientists knows the >> answer: >> Under WIN98 in the DOS/shell what can I do to keep image >> and text window from interfering ? > >Have you gone through the recommedations here: > >http://spanky.triumf.ca/www/fractint/fracwin95.html > >Are you running Fractint full screen? Fractint doesn't play nice when >it is windowed. Try putting Fractint into a text mode before you change >windows using alt-tab. > >Did you try textsafe=bios? > >Try setting virtual=no in your sstools.ini file. > >Jonathan I use DOS Fractint under Win98. I put Fractint into text mode by hitting <tab> during the generation of an image if I want to window the Fractint session. (Yes, that does stop generation of the image.) I almost always use a 'Disk Video Mode' to calculate larger images because the "Disk Video In Progress" screen is a Text Mode screen which I can window by typing <alt><enter>. I do not type characters into the windowed DOS Fractint session. I make it full screen with <alt><enter> before typing characters into the program. I use textsafe=save in sstools.ini, but not virtual=n . I believe the effectiveness of these settings is more a function of your particular graphic card and driver than the operating system. I also turn off automatic monitor dimming while watching a fractal being calculated. Not doing this loses pixels on my vanilla Gateway system when the monitor dims. If you still have problems after using Jonathan's and my recommendations please drop me an email. I enjoyed your multi215a fractal. I note that most of its pixel's iterations fall approximately between 70 and 85 so it takes a color map that uses this fact to do justice to your image. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################################# -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.18/91 - Release Date: 9/6/05

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The carefully crafted Mandelbrot Monk hoax is worth reading.
by Hal Lane 07 Sep '05

07 Sep '05

################################################################## >You have GOT to see this, then wonder .... >http://www.raygirvan.co.uk/apoth/udo.htm > >An excerpt: > >In Salus, Udo describes how he used these numbers: "Each person's soul >undergoes trials through each of the threescore years and ten of allotted >life, [encompassing?] its own nature and diminished or elevated in stature >by others [it] encounters, wavering between good and evil until [it is] >either cast into outer darkness or drawn forever to God." > >When Schipke saw the translation, at once he saw it for what it was: an >allegorical description of the iterative process for calculating the >Mandelbrot. In mathematical terms, Udo's system was to start with a complex >number z, then iterate it up to 70 times by the rule z -> z*z + c, until z >either diverged or was caught in an orbit. [*4] ------------------------------------------- In addition to Lee Skinner's: >This has been proven to be a hoax. Udo, if he existed, never saw a >Mandelbrot set. >Lee ------------------------------------------- I additionally located at: http://spanky.fractint.org/www/whats-new.html "Ray Girvan raygirvan(a)freezone.co.uk has put together a well crafted hoax and released it as an April Fools joke called THE MANDELBROT MONK." ------------------------------------------- and also from www.museumofhoaxes.com: http://www.museumofhoaxes.com/hoax/forum/forum_comments/2961/ "Also from Science Daily Udo of Aachen, fictional monk (1200-1270 CE). Udo is the creation of British technical writer Ray Girvan, who invented him for an April Fool's article in 1999. Mystic and poet whose work ostensibly was set to music by Carl Orff with the haunting O Fortuna in Carmina Burana - actually the work of itinerant goliards, found in the German Benedictine monastery of Beuron (Latin, Burana). The apocryphal Udo was also an illustrator and theologian, supposedly he discovered the Mandelbrot set, some 700 years before Benoit Mandelbrot (Benoit is French for Benedict). "Re-discovered" when the also-fictional Bob Schipke, a Harvard mathematician, saw a picture of the Mandelbrot set in an illumination for a 13th century carol." " ------------------------------------------- At: http://classes.yale.edu/fractals/ Michael Frame, Benoit Mandelbrot, and Nial Neger of Yale Univ. list "Mandelbrot Monk" as topic '3I' of their collection of notes on fractals, chaos and related topics -- but without calling it a hoax. I assume that they are relying on reader's discriminating minds to deduce that it is a hoax. (I.e. -- complex numbers, iteration and Cartesian coordinates did not exist in the 13th century, during the monk's supposed 'lifetime'.) ------------------------------------------- Also, in the Number 82, August 2001 NEWSLETTER OF THE NEW ZEALAND MATHEMATICAL SOCIETY: http://www.massey.ac.nz/~wwifs/mathnews/Nzms82/news82.htm#monk Garry J. Tee says: "Some mathematical websites have provided links to Ray Girvan's article; and it has been picked up by some e-mail news service, so that excited reports of it have been passed around the Internet. Alert readers of the article will notice several hints of its nature. The end of the article clinches the matter by its date: 1999 April the first. Ray Girvan has written his witty article very skillfully, reporting some genuine facts which are strange and little-known. The list of references cites many significant papers on mathematics and on medieval science. But the basic paper, by a retired Professor of Mathematics at Harvard, does not exist." ------------------------------------------- Despite all the debunking I offer, I still recommend that you read this highly original, very creative work describing the Mandelbrot set's creation -- in medieval language -- with scholarly references! This is how the article is signed: "Â© Ray Girvan (ray(a)raygirvan.co.uk) April 1st 1999." THE MANDELBROT MONK: http://www.raygirvan.co.uk/apoth/udo.htm - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.18/91 - Release Date: 9/6/05

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Re: Lee comment
by JackOfTradeZ 07 Sep '05

07 Sep '05

Lee said: ""This has been proven to be a hoax. Udo, if he existed, never saw a Mandelbrot set."" I really HATE it when this happens! Oh well then, try this: If you understand that there is no such thing as chance, but only patterns we do not understand, you will cease to believe in phony religions, astrology, flying saucers, heroes and demons, good and evil (most of what we call evil is usually only ineptitude), ghosts, the infallibility of politicians and all the other coo-coo distractions from clear thinking. There is no chance. There is Chaos. And Chaos is Entropy Misunderstood. The world is not run by secret cabals, it is run by people who do not understand the systems within which they operate; and so they attempt to bend them to alternate purposes. But Chaos will have its way. Those rivers will find their true courses, no matter how many dams of bigotry, greed, hatred and frenzy are erected. Chance favors the prepared mind. Chaos works to your benefit. Know as much as you can. Understand and remember. Life has only one great lesson. It says to you Pay Attention. Whether in Chaos or Entropy, the more you know, the cleverer and more well-informed you are the easier it is to ride the tide of Chaos, to achieve The Secret. You're welcome. And you didn't even have to sign up for a seminar. Chaos is a highwayman, wild and free. Chaos is when a man walks ahead, but his soul lags behind. Whatever. Stay Amazed! JoTz

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FOTD 07-09-05 (07-09-05 [NA])
by Jim Muth 07 Sep '05

07 Sep '05

FOTD -- September 07, 2005 (Rating NA) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when Z^(0.06) and Z^2 are combined, and C is added. The bubbly effect was achieved by rendering the image with the outside set to 'fmod' and the proximity set to 0.5. Since almost all my energy went into the writing of the philofractal discussion, I gave the image no name other than the date. The render time of 2 minutes is fair enough. The pre-rendered GIF image will be available before long on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Deep blue sky, puffy white clouds, gentle winds, low humidity, a temperature of 81F 27C -- all this combined to make the day absolutely perfect here at Fractal Central on Tuesday. The cats were so happy that they paused to give thanks to the great cat. For me, the day was on the slow side. Today promises to be the same. The next FOTD will be posted in 24 hours. Until then, take care, and look toward the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 07-09-05 { ; time=0:02:09.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-2.78868307814481100/+0.206703675744196\ 10/4.78215e+009/1/-90/3.88578e-016 params=1/0.06/1\ /2/0/0 float=y maxiter=500 inside=0 proximity=0.5 outside=fmod logmap=yes periodicity=10 colors=000vc3ub4ta4s`5r_5qZ5pY6oX6oW7nV7mU7lT8kS8j\ R8iQ9iQ9hPAgOAfNAeMBdLBcKBcJCbICaHD`GD_FDZEEYDEYDE\ bGDfJDkMDoPDwPCsRDpSElTEiUFeWFbXGZYGWZHSaIT_HUZHVY\ HWXHXWHXUHYTHZSH_RG`QGaPGaNGbMGcLGdKGeJGhGIfHHeIGc\ IGbJF`JF_KEZKDXLDWLCUMCTMBSNAQNAPO9NO9MP8KP8JQ7IQ6\ GR6FR5DS5CS4BT39T38U26U25V14V15U45U65U95TB6TD6TG6S\ I6SL7SN7RP7RS7RU8QW8QZ8Q`8Pc9Pe9Pg9Oj9Ol9OnISaRVPZ\ YC`ZBa_Bb`BdaBebBfcBhdBieBjfBlfBmgBnhBpiBqjBrkBtlB\ umBvnByo9xnAwnBvmBumCtlDtlDslErkFqkFpjGojHoiHniImi\ IlhJkhKkgKjgLifMhfMgfNfeOfeOedPddQccQbcRdfPbcRa`T`\ ZV_WWYUYXR_WP`VMbTKdSHeRFgQCiPAjL8eI7`F6WB4R83M52I\ 57J5BJ5FJ5JJ5NJ5RJ5VK5ZK5bK5fK5jK5nK5jR5fX5cc5_i4W\ q5Xo6Yn6Ym7Zl7_k8_j8`i9ah9afAbeAcdBccBdbCeaDe`Df_E\ gZEgXFhWFiVGiUGjTHkSHkRIlQDjKGkNIlPLlRNmTPmVSnXUoZ\ Wo`Zpb`pdbqferhgrjisllsnntpptrnrqlqpkooinnhlmfklei\ kchjpaFqaDraCraAsa8sa7ta5 } 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 PARAMETER FILE=========================================

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Fractal web site
by David Dollevoet 07 Sep '05

07 Sep '05

My fractal web page is updated for 2005-09. http://www.djd-fractal.com David Dollevoet

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Re: Amazing?
by JackOfTradeZ 06 Sep '05

06 Sep '05

You have GOT to see this, then wonder .... http://www.raygirvan.co.uk/apoth/udo.htm An excerpt: In Salus, Udo describes how he used these numbers: "Each person's soul undergoes trials through each of the threescore years and ten of allotted life, [encompassing?] its own nature and diminished or elevated in stature by others [it] encounters, wavering between good and evil until [it is] either cast into outer darkness or drawn forever to God." When Schipke saw the translation, at once he saw it for what it was: an allegorical description of the iterative process for calculating the Mandelbrot. In mathematical terms, Udo's system was to start with a complex number z, then iterate it up to 70 times by the rule z -> z*z + c, until z either diverged or was caught in an orbit. [*4] Stay Amazed! JoTz

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FOTD 06-09-05 (06-09-05 [NA])
by Jim Muth 06 Sep '05

06 Sep '05

FOTD -- September 06, 2005 (Rating NA) Fractal visionaries and enthusiasts: The fractal part of today's FOTD is brief. All my energy went into the philosophical part, which appears in the philofractal version of this discussion. Today's image combines Z^(0.065) with Z^2 and adds C. Since I did almost no extra work on the image, I gave it neither a name nor a rating. The render time of 6 minutes is a bit slow, but the already-rendered GIF image may be picked up from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect weather continued on Monday here at Fractal Central, as did the perfect behavior of the fractal cats. Today is stating perfect. The cats will likely have another perfect day. My day will be somewhat busy, but nothing that I cannot finish in a few hours. The next FOTD will appear in 24 hours. Until then, take care and take hope. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 06-09-05 { ; time=0:04:20.91--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.85383322516782500/+0.549316619250768\ 70/1.993234e+007 params=1/0.065/1/2/0/0 float=y maxiter=1000 inside=0 periodicity=10 colors=000iNQgIPgFNfBLd8Kd4Ib0G`0F`0D_0B_09t00z00z\ 04w0Dp0Li0V_0bS0jK0sB0z60z20z08z0Gv0Qp0_j0gd0pY0yS\ 0zL6zVLzd`zmnzv_pwbsydtygvyiwzkyzmzznzzqzzszzvzzwz\ zzzzzzzzzzzzzzzqzzfzzbzv`zs_znXzkVzgUzbQz_PzVNzSLv\ _SqgYmnditidzn_ztVzzQzzVzy_ztdzpizjkzfpz`tzVyzQzz0\ zzLkzqVyzQnzNdzDYvKVsPSpUPmYLjdKgiGdmD`q9Yw8Vz4Sz0\ Pz0Lz0Kz0Iz0Gz0Fz0Dw0Bt09q08n06j04g02d00`00X00U00Q\ 00N00S00X00`46f69j8FmBIqDNvFQzIVzKYzGfzL`zQYvVVp_S\ jdPdiLYmISqFLtBUpI_mPgjVmg`tdgz`msYimVdgS``PXULSNI\ PGFK9BGKPPS`V`mbiyiszypznnzfmzVkzLjz9zz0iz0Is20k6D\ yjXzzX0zQ0yK0wF0v82t04s00z06q08p09n0Bm2Bk4Dk6Fj8Fi\ 9GgBIfDKfFKdGLbIN`IN`FXYBfV8nS4wP0zL0zI2zF8zDDzBGz\ 9Lz8Qz6Uz4Yz2bw0fv0jt0ns0qp0vn0zm0zk0ym0vm0sm0nn4k\ n8inBdpG`pKYpNUqQQqUNqXIvbKq_LmXLiUNdSN_PPVLPQKQLG\ SGDSB9U68U04V00S00V00X02_06`29d6Ff9IiFLjIPkLSpPXsQ\ `vSfyUjzVnzXszYwz_zz`zzbz } 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 PARAMETER FILE=========================================

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FOTD 05-09-05 (05-09-05 [NA])
by Jim Muth 06 Sep '05

06 Sep '05

FOTD -- September 05, 2005 (Rating NA) Fractal visionaries and enthusiasts: Most of today's discussion appears in the philofractal version of the FOTD. Today's image is located in the fractal that results when Z^0.6 and Z^4 are combined and C is added. I have not given it a name, I have given it only a date for catalog purposes. The image was rendered with the outside set to 'tdis'. Since I put very little effort into the coloring, I gave the image no rating. The render time is a very fast 3/4 of one minute. And if this is not fast enough, the already-rendered GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was perfect here at Fractal Central on Sunday. The fractal cats were perfect also. Today is starting perfect again, which is very good news for the duo. It looks like a slow contemplative day coming up for me. Some of my contempla- tions will appear in tomorrow's philofractal FOTD. Until then, take care, and be optimistic. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 05-09-05 { ; time=0:00:41.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.389425986/-0.549300202/926.776/1/-16\ 2.5/0 params=1/0.6/1/4/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000af`cvlYogSibMbYHXTBQO0000EE4GM8HTCI`GJgK\ KnIPoHUpGZqEcrDhsCmsGenJYjNQfQIbUAZX2Va6Rf9NkDKpGG\ uJDmTBeb9Yl7Qv5Ji6DY66M70A71CF2DN2EV3Ga3Hi4Iq4JxCA\ eJ1NK3KL4IL5FM7DM8AN98NA6RJFVSOZ`XaidWlfRogMrhHujC\ xk7zlmyrcijUVbKGVB1OA6P9AP8EP8IQ7MQ6QQ6UQITOUTNeTL\ pTK_nkWpcTqWQsPNtHKv9Hw2UsyQtsNumKvgHwaExWByQ8zK5z\ EOeJfMOx2TdIKLYB1l3CkENkOYjYhjgsjqphkmgfjkjhonfrrd\ vvbyzeuwhrukornlpqhmtekwbhz_fqViiRlaNoUIrMEuEAx66z\ ABvEGrHLoPOkXQgcTdkV`sYXz_UsZYmZ`gYcaYgWXjQXmRYjSZ\ gT_eT`bUa_VbYWcVWcTVcTVbSUbSpSEoaKnkPmuUnsVoqWopWp\ nXqlYqkYkfTeaP_YLUTHOOCIK8CF47B0C93H85M67R59Q7DP8G\ O9JNAMMBPLCSKDVGBKDAAJGIOMPP_ZQmgIllAkqAjdAiTAhHAh\ 5_9LPuAMqBKnCHjDFgEG`LHUSINZJGeK9lL3sRDqXNoaWngelm\ ojrxipwinwilwijwihwigwiSUgD1fH5gK9hODiRHjUKjbjmIX7\ JTBJQEKMIKJLKGPLCSL9WL6ZM8YM9YNBXNDWOFWOGVPIVPKUQM\ TQNTI9nI6nI3nI0nQ5WYAD_RP } 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 PARAMETER FILE=========================================

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Re: [Fractint] Re: Philosophy
by padski＠padski.com 05 Sep '05

05 Sep '05

Hi Guys, Can SKS please help me find a copy of Jim's philofractal FOTD post from yesterday? I cannot seem to fing an archive + joining the digest list hasn't helped either. Thanks in advance. Paddy ----- Original Message ----- From: Jim Muth To: fractint(a)mailman.xmission.com Sent: Sat, 03 Sep 2005 22:45:59 -0400 Subject: [Fractint] Re: Philosophy At 06:07 PM 9/3/05 -0600, JoTz wrote: >Today's question: > >What do you do when you don't really want to live, >ie., life sucks, but you are afraid to die (can't >do the suicide solution).? > >Whadya gonna do? Who ya gonna call? > >Keep Cruisin' I doubt that I would call on the One who sends things like hurricanes and tsunamis, the one who with a flick of his finger could have blown the latest hurricane out where it could do no harm, but for some reason chose not to. As the song "Old Man River" says -- 'tired of living and scared of dying'. When one feels this way, I guess it would be the time to start searching for fractals. Jim M. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 04-09-05 (04-09-05 [NA])
by Jim Muth 04 Sep '05

04 Sep '05

FOTD -- September 04, 2005 (Rating None) Fractal visionaries and enthusiasts: Most of today's discussion appears on the philofractal list. Today's image is a scene in the fractal that results when 0.3 part of Z^4 is subtracted from Z^2 and C is added. The bubbly effect was achieved by rendering the image with the inside set to 'bof60'. Since I do not feel like thinking of names, I gave the image a date instead of a name. I gave it no rating. The render time is slightly slow, but the finished GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather is absolutely perfect, and is forecast to remain perfect for the rest of the week. Maybe the perfect weather will take the fractal cats' minds off of the suffering of the cats in the Gulf Coast area. The next FOTD, which will be lots of philosophy and little fractal talk, will appear in 24 hours. Until then, take care, and keep looking forward. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 04-09-05 { ; time=0:01:11.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.16868652544952400/+0.436984480245792\ 50/58769.69/1/37.5/5.0535235718296434e-010 params=1/2/-0.3/4/0/0 float=y maxiter=1000 inside=bof60 logmap=yes periodicity=10 colors=000zzBzmGzcKvUOqKLlHJgFHbDFZCDUBAPA8K96F84B\ 72HADNDNTGXZJfdMpjOzeLy`IxWFwRCvM9uH6tC4sFBr000JNr\ LTrO_rQerSkrUqrWwrXvsYvtZvu_vviumrteqsdqsdqrdqrdpq\ dpqdppdppdopcoocooconcnncnmcnmcnmcVovXmsYlpZkn_jk`\ iiahfbgcceaddZecXfbUgaRh`Pi_MjZKf`MbbO_dPWfRShTPjU\ LkWImXEoZAq`7sa3uc0vd4uc8tcBsbFrbIraMqaPp`To`Wn__n\ _bmZflZikYmjYpjYolXomWnnVnoVnpUmqTmrSmsShoXclaZifU\ fkPcpK`uGYyF_vFasFcpFemFgjFigFkdEmaEoZEqWEsTEvQExN\ EzKFzIGzHHzGIzFIzDJyCKxBLwAMu9Ms7Nq6Oo5Pm4Pk3Oj4Oh\ 5Og6Oe6Ob7Ob8Nc8Nc9NcANcANcBNcCNcCQcCScCUcCWcCZcC`\ cCbcCdcCgcCicCkcCmcCncFocHocJpdKp`KqXMrTPrQSsMUsIW\ tEYtI`tMdtQguUjuYmrGpsOntWmuckvjjqimlhoggqbgsmadwW\ QrbWmi`hpedvjWpZOkNFfB7a0WCaXMJKd5mU1qmJFnKUoQgqWq\ rl2sPGtSUuVgvYWwxbxrhylozfKzsUznbzilzdGz4`zzgzqnzh\ xz9wzJvzSQzqYzlezhmzd4zYVz_jznnzirzdrzqszltzhuzdAz\ zMzsYzmizf`z6_z5Yz3Xz2bz7 } 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 PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 31, Issue 4
by Marcusadriana 04 Sep '05

04 Sep '05

2 1

Re: Philosophy
by Jim Muth 04 Sep '05

04 Sep '05

At 06:07 PM 9/3/05 -0600, JoTz wrote: >Today's question: > >What do you do when you don't really want to live, >ie., life sucks, but you are afraid to die (can't >do the suicide solution).? > >Whadya gonna do? Who ya gonna call? > >Keep Cruisin' I doubt that I would call on the One who sends things like hurricanes and tsunamis, the one who with a flick of his finger could have blown the latest hurricane out where it could do no harm, but for some reason chose not to. As the song "Old Man River" says -- 'tired of living and scared of dying'. When one feels this way, I guess it would be the time to start searching for fractals. Jim M.

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does this work
by sam ende 04 Sep '05

04 Sep '05

i am working on new website. i have made folders with a collection of images and created an image gallery, what i would like to know is if the individual images load okay into fractint, if not i'm going to have to think of something else. thanks. http://www.sende.co.uk/page1/ sammi

4 13

Re: Philosophy
by JackOfTradeZ 04 Sep '05

04 Sep '05

Today's question: What do you do when you don't really want to live, ie., life sucks, but you are afraid to die (can't do the suicide solution).? Whadya gonna do? Who ya gonna call? Keep Cruisin' JoTz

2 1

FOTD 03-09-05 (03-09-05 [NA])
by Jim Muth 03 Sep '05

03 Sep '05

FOTD -- September 03, 2005 (Rating NONE) Fractal visionaries and enthusiasts: The fractal part of today's discussion is very brief. The part that appears in only the philofractal version is far longer and rather controversial. Today's image shows a scene in the fractal created by the formula (Z^2)+(0.3*Z^4.1)+C. I gave it no rating and no name. It renders in 15 minutes from the included parameter file. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A political-philosophy rant appears at this point in the philofractal version. On the cat front, the weather on Friday was perfect and the cats had a great day. The next FOTD will appear in 24 hours, but be warned, politics is still the hot topic around F.C., and I am not in the mood to remain silent. Until next time, take care, and walk with fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 03-09-05 { ; time=0:15:00.29--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.37989719666519010/+0.158850406431823\ 90/3996.859/1/180 params=1/2/0.3/4.1/0/0 float=y maxiter=600 inside=bof60 outside=tdis symmetry=none periodicity=10 sound=off colors=000MNEFJB7E70A42CB3EI5FP6HW8Jb9KiBMpCNvELqG\ KlIIgKHcMFZOEUPDQUigSeeRacQZaOV_NRYMOWSUZY_abechkf\ 000swktmYucKvU6gP9UKCGFEMJKRMQXPVaS`fWflZkqaqvdv4a\ vE`iO`YY`MVgVSmbPtjNzrQwnStjUqfWnbYkZ_hWWiSTiOQiKN\ iHKiDHi9Ei6Fh8Gg9GfAHeBIdCIdDGfHEhKCjNBlQ9nT7pW5rZ\ 4taJpYYlUlhQzdNOwK2I54J75J96JB8KD9KFAKHBKIJILRHNZG\ PeFRNKg4Ox9JsDEoH9kL5gR8eXAcbCahF_nHYtJWqKUoLTlMRj\ NQhOP89ZAFaBKdDQfEViF`lHenIkqJpsS`k`Lcdfomlnvrntmj\ rigpedoaamYYkUViQShMPgRSfWVe`Xdd_ciabndbrf_pbXn_Ul\ XSkUPiQMgNJeKHdHK`KNYNQVPTSSWPUZMXaJZgSbm_fshjxpmj\ edXWXJLP6BHCHFINEOTCTZBZd9dj8io7rjTzfmycoxapw_rwYs\ vWuuUvtSxtQylGvkMskRqkWok`mkejkjhkofktdjnaih_ibYhY\ VhSTgMRgHP8qpwJpkTr`bsQltFvuDnvBgw9`w8Tx6Mx4Fy38y8\ GqDOjIWbNbWSjOXrH`yAVhSQTiLDz1w79x5Hx4Py2Xy1_t2bp3\ el4hh5kc6n_7qW8tS9pTElUIhUMeVQaVUYWYVWaXWbYWb_Wc`W\ cbWccWdeWdfWdb`ijgba_SUSI } 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 PARAMETER FILE=========================================

2 1

Re: color cycling
by JackOfTradeZ 03 Sep '05

03 Sep '05

I have been posting some on my web syte, near the bottom of the page. They look way cool in original hi-res AVI, but most do not compress well in MPEG4 for upload. Now just why is that? ....

4 5

FOTD 02-09-05 (Still More Storm Clouds [7])
by Jim Muth 02 Sep '05

02 Sep '05

FOTD -- September 02, 2005 (Rating 7) Fractal visionaries and enthusiasts: I'm not in much of a writing mood this morning, so I'll merely explain that today's image is a scene in the parent fractal associated with the third critical point of the expression that was used to create the previous two days' images. This critical point is -0.4401695778. This parent fractal is unlike the previous two associated with the expression, which were shapeless blobs with only hints of Mandel features. Today's parent is shaped like a near-normal Mandelbrot set, with the addition of large open areas attached to the ends of the filaments. As I hinted yesterday, today's image has been named "Still More Storm Clouds". It is actually the best of the three 'storm' images. I rendered the scene with the 'outside' parts set to 'tdis', which IMO makes the most of the scene. The render time on my ancient machine is a not-too-slow 5-3/4 minutes. This is just a little longer than the time needed to go online and download the already-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> My mood today is more political than philosophical, so I have counted to 10,000 and will write nothing. But the real philosophy is still brewing quite strongly, and when the time is right, I will post it with no holds barred. Near perfect weather here at Fractal central on Sunday made for near ideal cats. They went outside at 11am, returned at 3pm for a snack, then went back outside until nightfall. My day was philosophic but otherwise uneventful. Today is starting the same as yesterday. The next FOTD will appear in 24 hours. Until then, take care, and it's always darkest before the dawn. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= StillMoreStormClds { ; time=0:05:48.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-2.84481622606326700/+0.206010400683993\ 50/4.84841e+008/1/105/0.00014999264381784 float=y params=1/2/-0.2/3/1/1/0.01/4/-0.4401695778/500 maxiter=600 inside=0 outside=tdis periodicity=10 colors=000PxlMymKzmMslNmkOgjPaiQVhRPgSJfTDeU7eWDdX\ IcZNb_Sa`X`ba_cfZekYfpXguWdmUbfS_ZQYSOVKMTDKR6IM3G\ I0FJ3IJ6KK8MKBOKEQLGSLJUMMXMOZMR`NUbNWdOZfOahOcjN`\ fNZcNW_MUXMSTMPQLNMLKJLIFLGCPKHTNMWQQ_TVbWZf_cjbhm\ elqhqtku`RmH6fJGYLQQN_IPiARr28IqAPlCWhEadGh_IoWJuS\ IrTHoUHlUGiVGfVFcWF`WEYXDVYDSYCPZCMZBJ_BG_AD`AB`zz\ dvvarr_mnYhjWcgSafOZcKZaG`ZDZYDXUCUQCRNBOJBLHALFAN\ GBOHCPICRJDSKDTKEULEWMEYMFZNG`OGaPHbQHcRIeSIfTJgTK\ iUKiVLiWLjXMjYMjZNl1Jj5Ki9KhDLfHLeKMdOMbSNaWNfNBeO\ CePDePDdQEdQEdRFdRFcSGcTHcTHbUIbUIbVJbVJaWKaXLaXL`\ YM`YM`ZNOwWPuVQtVRsURqUSpTToTTmSUlSVkRViRWhQXgQXeP\ YdPZcOZaO_`N`_NmEmlGkkHijJgiKehMcgNafP_eQYdSWcTUbV\ SaWQ`YOHbkJaiKahLafMaeN`dO`bP`aQ`_R`ZT_YU_WV_VW_TX\ ZSYZRZZP_ZONlEOkFPjGQiGRhHSgHTfIUeIUeJVdKWcKXbLYaL\ Z`M__M`ZNe7adB_cEYcHXbKVbNTaQSaTQ`WO1uQ4sP7qPAoPkm\ fingfogdphariZsiXtjUukRwk } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: Color Cycling
by JackOfTradeZ 02 Sep '05

02 Sep '05

Color cycling animation of Jim Muth's recently posted STORM fractal: http://www.fractal-animation.net/storm.zip WMV(MPEG4), 640x480, 34 sec., 6.1 MEG I hate to say it in lite of recent events but it does resemble a hurricane (on acid). There are a few more posted on my primary web site, way near the bottom. These look seriously cool in original hi-res AVI format, but for some reason do not always compress so good with MPEG4. But this one did ok. Stay Amazed JoTz

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FOTD 01-09-05 (More Storm Clouds [6])
by Jim Muth 01 Sep '05

01 Sep '05

FOTD -- September 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's midget is a scene in the Mandeloid fractal associated with the 6.0457442391 critical point of the expression: (0.01Z^4)-(0.2Z^3)+(Z^2)+(Z)+. Yes, I know that things are out of the conventional order in the formula, but it makes no difference. I named the resulting image "More Storm Clouds". The stormy fractal weather just will not blow over. I fully expect that tomorrow's image will be named something like "Still More Storm Clouds". The rating of a 6 is fair enough. 6-1/2 might have been more accurate, but we are not nit-picking. The render time of over 17 minutes is a bit slow, but the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy of the day is included at this point in the philofractal version of this discussion. The temperature reached 84F 29C under cloudy skies here at Fractal Central on Wednesday. But no rain fell, which allowed the fractal cats to enjoy a full afternoon romping in the holly bushes. They must have romped a bit too hard, for Tippy returned with a clump of burdock burrs stuck to his flank. I removed the burrs with a comb and scissors, while Tippy voiced his complaint. Today is starting sunny and cooler. It looks like another good day for both myself and the cats. The next FOTD is due in 24 hours. Until then, take care, and have faith, but not too much faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= More_Storm_Clouds { ; time=0:17:46.49--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=-0.37403692302453810/+0.189225269024860\ 60/2.477933e+008/1/-70/-5.874863224e-006 params=1/\ 2/-0.2/3/1/1/0.01/4/6.0457442391/500 float=y maxiter=1250 inside=0 logmap=185 periodicity=10 colors=000H8VH5YE0a90eI0eR5f_BfhIipOkyUmzXpzZryZrv\ ZrrZroXslXsiXseXsbXs_WtWWtTWtQWtNWtTTsXQsaNseKsiHs\ oEssBsw8sz5sz2sz5oz8lzBizEfzHbzK_zNXzOUzRRzUOzXNzZ\ KzaIzcGzeEzhByk8wl6vo3tr2ss0rv0py0oz0kt0ho3ei8bcDZ\ ZIWTNTNRQIWUO_XUca_hcclfipkotmsyryztzzwzzrzzlyzftz\ apzXlzRhzLczG_yBWw5Rv0Nt0Is0Es0It0Lv0Ov3Rw8UwBXyE_\ y2UQ0ceEvzpIRkGWeEZ_BbQ5mT8iU9eXDaZEZaHUbIQpH_cKNR\ N9BT0GQ0IO6LNGQKOTIXQIeWHc_GbeGbiEamD_sD_wBZG00zEe\ zBZz8Tz5Nz3Hz0Bz05z00b9HDNZ0ZmNXXvUGtXHsZIr_KraKpc\ LoeNmfOtv9poHmhOkaWhUacNhaGoZ8vW0z_DsbNleXeihXlrQo\ zIlvOipThlZefbbafaXlZRpeIzXNtQQmHTf9XZ0_R0hD0bK0ZR\ 0TZ0OcIcUisKzzBovHUiN9ZR8eO8lL6sI0z23z96zH9zODyWGy\ bQzaZz_hzZpzXzzWzzWRD0IHB9LN2UK0RR0QX0Mb0Oi0Ro0Uq0\ Xs0_t3bv6ewBhwEkyInzLqzatwowtzzrlzWWz9Gz0Kz8NzRRzi\ RzzTzzUzz3zeHzoUzyezzkzzozzszzwzzzzzzzzzzzzzpzzfzz\ ZzzOzzEzz5pzekziezl_zoWzr } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractint_multifractal_10
by Albrecht Niekamp 01 Sep '05

01 Sep '05

Hi, did you know that Fractint performs superbly with the AMD 64Bit CPU? I use a Winchester 3500+ clocked at 2250MHZ. 500Mhz cache, 1 giga FSB, dual core 1giga RAM clocked at 500Mhz. I just give you 2 examples: Lee`s "Mother pac velociraptor" image usually needs about 2 1/2 hours with a 2 Giga Pentium 4. Now it`s there in 16 Minutes! (Tesseral). My speed test image needs 1min 35sec with the same cpu, now it`s generated in 25seconds. If I have to do some editing I run Fractint in the Win98 dos shell, otherwise with a booted DOS7. The performance is identical but I have problems to keep text and image screens apart. Either there is no text screen or the image is kaputt. I tried all possible PIF modes but I cannot find a solution. A workaround is to start Fractint from a win- dowed DOS-Commander (Newdos). To start Fractint in the switched DOS mode (Real DOS) is none because the performance is very bad. Why?? Does anybody know a solution? "Textsafe=save" of "Textsafe=yes" does not help. Are there any SSTOOLS commands which I possibly dont know of? As the Fractint List par`s compilation on Les St. Clairs homepage ends first quarter 2002 I made a new compilation of 2002, 2003 and 2004. It was a tough job and needed lots of editing but it`s worth it.There a four files, a separate formula file for 2002. The other compilations contain the Par`s and the formulas.. I did that to be sure that the correct versions are used. Morgan L. Owens formulas always have the remark "earler versions to be discarded." My "Multifractal" project in 2003 was a continuing row - you might say chaotic - of versions until the final stage. Several times it was broken by mysterious bugs, artefacts and incompatible versions. Therefor I used a numbering of each Multifractal instance. Of course these names should only be used in this context. Where necessary I put a "Debugflag" command in the par-file, some images need a "debugflag=322" others dont generate if it is not set to zero. All Multifractal images, also Lee`s and other peoples are tested and should run w/o problems. Possibly, especially after Hiram Berry`s pars in 2004 Fractint must be restarted .Anyone who wants to make these compilations permanently available on her or his homepage will get a mail with a zipped attachment of these files. Jim`s FOTD`s are included! The final version of the multifractal project is Multifractal10 and should be virtually bugfree, no changes since half a year. It can reproduce most of the earlier images and a lot more. A good image is included. Greetings, Al. ============================par-file================= mfr345e { ; Time 00.03.13.66 amd 3500+ ; Fractint Version 2004 Patchlevel 2 ; Albrecht Niekamp 2.9.05 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=7.67651/2.42328/9.597851/1/9.9999999999999325/-2.795055853432\ 87066e-013 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=0D0<3>070060050030020000001002<8>5G_5Ic6Jf<3>8Rv9Tz9Sy<19>38W37U2\ 6T<3>12M00K00J<10>007006005<3>000<2>800B00F10I10<3>U40X50Z50<3>g90jB0lC0\ nD0oE0<3>vK0wM0xN0<3>zT0zV0zW0<3>sJ0qF0nE0mE0<3>a90Z80W60T50Q30<3>H10F10\ C00<6>600500400<2>100000101200<19>X0fZ0h_0j<3>f0rh0ui0wk0y<3>_0iX0dU0`R0\ XN0SK0O<8>D0EC0DC0C<4>707606504403000<2>010020040<21>0Y00_00`0<2>0d00f00\ e0<21>0D0 } ===============================frm-file=============================== frm:Multifractal_10 { ; Albrecht Niekamp Jan2005 ;p1 (spider)julia-seed ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ;0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider ; input2: 2digits_many-mods 2digits_phoenix 2digits_spider ; 1digit_shapereset:0_no 1_dblmandel 2_iter-reset 3_both +5_warp ; 4digits reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp ;imag(p2)(-) 5digits_colour(bailout) number ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 ;imag(p3) shape : factor (fn1), 5digits_colour4 6digits_colour5 ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor1 (fn2) 4digits+fract_border1 ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor2 (fn3) 4digits+fract_border2 ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor3 (fn4) 4digits+fract_border3 ; optional: 1_lake effect, 2digits_frquency 2digits_level 2digits_ampl ;fn(1) shared by many-mods+bees ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Qusinewton Pusk s Istv n z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Pusk s Istv n z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Pusk s Istv n z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba } ===========================================================end============== =================

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Re: [Fractint] Re: etc. etc. yada yada
by Russell Walsmith 01 Sep '05

01 Sep '05

----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: etc. etc. yada yada Date: Tue, 30 Aug 2005 11:59:26 -0600 > > ""BTW: I finally got a look at the "T-set" in 3-D. It looks like an extruded > Mandelbrot! Here's a video rendered by Paul Bourke in POVRay: > > http://ixitol.com/html/viddies.html "" > > Hey that viddie is way cool! How you do that! I see I have some competition > now :( Oh yeah, and BTW I've put a little gallery of 2-D images at the same site... http://ixitol.com/html/galleries.html

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Re: [Fractint] Re: etc. etc. yada yada
by Russell Walsmith 01 Sep '05

01 Sep '05

----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: etc. etc. yada yada Date: Tue, 30 Aug 2005 11:59:26 -0600 >> ""BTW: I finally got a look at the "T-set" in 3-D. It looks like an extruded >> Mandelbrot! Here's a video rendered by Paul Bourke in POVRay: >> >> http://ixitol.com/html/viddies.html "" >> > Hey that viddie is way cool! How you do that! I see I have some competition > now :( The T-set was rendered on POV-Ray, an amazing freeware program available at http://www.povray.org/download/ Who knows, maybe this is the next step in your artistic evolution!

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FOTD 31-08-05 (Storm Clouds [6])
by Jim Muth 31 Aug '05

31 Aug '05

FOTD -- August 31, 2005 (Rating 6) Fractal visionaries and enthusiasts: With all the news about storms on the TV, it seemed only proper that we should have a stormy fractal. Once again the Fractint program and the world of math obliged, and we got our stormy fractal. There are two images in today's parameter file. The first one is named "Graph", and it is exactly what its name implies. The 'Graph' image is a graph of the function entered into the formula. The critical points are now obvious. They are the imaginary values of the tips of the parabolic curves, the points where the tangents to the curve are vertical, the points where the derivative is zero. The problem lies in determining the exact Y-values of these points, but this can be done by repeat- edly compressing the imaginary direction and thereby sharpening the parabolic curves. The graph shows three critical points -- 9.3944253327, 6.0457442391 and -0.4401695778. Today's image lies in the parent Mandeloid determined by the first critical point. I named today's image "Storm Clouds". With a little stretch of the imagination it could be a dark and stormy sky. The image is half-inside and half-outside. The inside parts have been rendered with the 'fmod' option, with the proximity set to 27. The image appears to be at least slightly above average, though the coloring could certainly use more work. I rated it at a 6. With its maxiter of 2, the "Graph" image renders instantly. The "Storm Clouds" image requires 1/2 hour to complete on my tired old fractal machine. The stormy image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the graph image is so simple that it can be rendered in less than 1/4 second. Surely everyone can spare that much time. Philosophy fans take heart. I expect to have an outburst ready in time to appear in the philofractal version of tomorrow's FOTD. It remained warm and very humid here at Fractal Central on Tuesday. The temperature reached 84F 29C, but no rain fell and the fractal cats enjoyed a full afternoon in the holly patch. Today is starting much the same. If the rain holds off again, it will be another good day. For me, it will be an average day. The next FOTD fractal will appear in 24 hours. Until then, take care, and some mysteries are more easily answered than others. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Graph { ; time=0:00:00.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=ParabolicMix3 function=ident center-mag=1.8579/4.2739/0.1162964 params=1/2/-0.2\ /3/1/1/0.01/4/0/0 float=y maxiter=2 inside=0 symmetry=none periodicity=10 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SKQSKOSKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } Storm_Clouds { ; time=0:30:30.30--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-5.09875460590885100/+0.991687004724402\ 60/2.341077e+009/1/-32.5/-7.09176330104810404e-007 params=1/2/-0.2/3/1/1/0.01/4/9.3944253327/525 float=y maxiter=1500 inside=fmod proximity=27 symmetry=none periodicity=10 colors=00085C5592560537C8EICKOGRUKY`PcfTjlXqr`wxdi\ t`XpYJlU6iRIjPTkOdkMolLzlKxjLvhLufLsdLqbLpaMn_MmYM\ kWMiUMhTNfRNdPNcNNaLN`KNYNLVQKSTJPVHMYGJ`FGbDDeCAh\ B8jA8hCIPTGRTEUTCWT9ZS7`S5cS3eS1gS5dS8bSB`SEZSHWSK\ USNSSQQSwq1tl6rhAodFm`JjXNhTSePWcL_`JaZHcXFeUEgSCi\ QAkO9mPCiPFfQIcQL`QOYRRVRUSRXPS_LSbITeFThCTk9Un6Uq\ 3Us0Xo3Zl6`i9bfCdcFf_IhXLjUOlRRnOUpKXrH_tEbvBex8hz\ 5ju8gqAdmCbiE_eHXaJVYLSUNPQPNTOOWOPYNQ`NRcMSeMThLU\ jLVmKWpKXrJYuJZwJ_pLZiMYbOXWPWPRVISUBUT4VTC_WJdZRh\ `Ymcerflvhmvimvjnvjnvkovkovlovlpvmpvnqvnqvorvorvpr\ vpuwTww5tu8rtBpsDnqGlpJioLgmOelQckTaiWZhYXg`VecTde\ RchPbjUchYdfaeeefcjgbnh`ri_vjYzjXui_qhbmhdiggdgi`f\ lXfnTeqPesNgpLinJkkImiJlhJkhJkgJjgJifJifJhfJgeJgeJ\ fdJedJedKdfLcgMbhNaiO`jP_kPZmQYnRXoSWpTVqUUrUTsVMg\ VGXW9LW3AbLRUbfTevRiuQktOmsNkrLjqKhpIfoHdnFcmEalC_\ kBYjAXi9SeN5SK5PH5ME5JB5F } frm:ParabolicMix3 {; Jim Muth z=imag(pixel)+flip(real(p5)), c=fn1(real(pixel))+flip(imag(p5)), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <= 100 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: Color Cycling Animation
by JackOfTradeZ 30 Aug '05

30 Aug '05

I got it! It's done! The world's 1st color-cycling viddie! Ain't it cool? Am I good or what !? Somebody stop me! The 1st test viddie can be downloaded at http://www.fractal-animation.net/test.zip It is 5.9 MEG, 640x480 resolution, 34 sec. and MPEG4 so res is not perfect, but file size is cool. No matter how bad your life seems to get (mine is not good now, unemployment sucks) always thank The Good God for your blessings - you could be living in Missis-f'n-sippi right now ...... Stay Cool JoTz

2 1

Re: etc. etc. yada yada
by JackOfTradeZ 30 Aug '05

30 Aug '05

""BTW: I finally got a look at the "T-set" in 3-D. It looks like an extruded Mandelbrot! Here's a video rendered by Paul Bourke in POVRay: http://ixitol.com/html/viddies.html "" Hey that viddie is way cool! How you do that! I see I have some competition now :( Someone else said: Here are detailed steps of how to save frame by frame: These keystrokes work in DOS Fractint -- to save separate .gif images of each step of the color map cycle type: - r to load the desired image - s to save the picture with a name in the numbered series of images you are now starting to generate - (possibly) s to save another copy of the same image but with a different name (repeat to get as many copies of the same image as needed -- see discussion below) - c to enter color cycling mode - <comma> or <less_than> to cycle one color map step, or - <period> or <greater_than> to cycle one color map step the other direction - <esc> to exit color map mode - s to save the picture - (possibly) s to save another copy of the same image but with a different name (repeat to get as many copies of the same image as needed -- see discussion below) Repeat the above steps starting at "c to enter color cycling mode" for each of the 256 color map steps. Well, I didn't know about the comma, period or less/greater than to step thru the individual cycles. It should be possible to write a fractint autokey scrip to do this and it will save the frames automatically in sequence. Lemme work on that ... Answer: No, I do not rotate or do anything with the color pallette during a zoom. I set LogMap=2 and it happens all by itself! Cheers JoTz

2 1

FOTD 30-08-05 (Aching Mandeloid [5])
by Jim Muth 30 Aug '05

30 Aug '05

FOTD -- August 30, 2005 (Rating 5) Fractal visionaries and enthusiasts: The following paragraph is off-topic. Those who disdain OT stuff should skip to the next paragraph. Today started out great. When I opened my e-mailbox, I found that I have won not one but three lotteries that I have never entered. And there's a man in Nigeria who wants to give me 14-million dollars to invest for him in the U.S. I also discovered that my ebay account (I have no ebay account) has been suspended due to fradulent activity and that the Mindspring team (which no longer exists) needs me to confirm my billing information. ;-) A whole new industry is developing out there. It's called phishing, and there's still time to get in on the ground floor. ;-) Yes, I realize that we all get this kind of stuff, but now and then I like to have a little fun with it. Yesterday's 'Aching Tooth' image, which was created with the ParabolicMix3 formula, was not overwhelming, but the image was merely a side event. The main purpose of the ParabolicMix3 formula is to find critical points of the expressions entered into it. The formula did its job well, and determined that 0.6447424469 is one of the critical points of the expression 0.5*Z^(1.5)+0.5*Z^(-1.5)+0.5*Z^(2)+Z. I entered this expression as the parameters and the determined value as the starting point of Z in the MandelbrotMix3 formula to produce today's curious Mandelbrot set. Today's image is the entire fractal -- the parent fractal itself. The image was rendered with the outside set to the usual 'iter', producing equal-iteration bands. These bands are the same coloring method that was used in the fractal program that I used to create my first fractal nearly 20 years ago. The 'surface of a boiling liquid' effect is totally due to the generating expression. The Mandeloid is distorted by too small a period-2 bud and by having the other buds drawn toward the main bud. (This always happens when the main bud is smaller.) But the inner details are the same as in the classic Z^2+C M-set, with the bubbling iteration bands persisting all the way down. (At least it's not turtles. :-) ) I named today's fractal "Aching Mandeloid" because it is a part of the same Julibrot that held yesterday's 'Aching Tooth' image. The image is a slight improvement over yesterday's, which earns it a rating of an average 5 -- hardly earth-shattering but worth a peek. And the very fast render time of 13 seconds makes taking that peek an easy task. As always, those with handicapped or over-qualified machines may download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 86F, 30C, Monday was a bit too warm and humid for absolute perfection, but the fractal cats are stubborn, and despite the less-than-ideal conditions, they spent several hours in the yard. At one point I heard Tippy shout at something, but no disturbance was in sight. He was probably just quarreling with Thomas, as they sometimes do. The evening went smoothly, and they settled down without incident. My day was uneventful. Today is starting cloudy and damp, and with showers forecast, things do not look great for the duo. For me however, it looks like just another normal day coming up. The next FOTD will be coming up in 24 hours. The next burst of eye-opening and hard- hitting philosophy will also be coming up before long. Until 24 hours from now, take care, and as you become aware of the many fractals around you, stop to wonder where they come from. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Aching_Mandeloid { ; time=0:00:13.62--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident logmap=3 center-mag=-1.49125/0/4.191485 symmetry=xaxis params=0.5/1.5/0.5/-1.5/0.5/2/1/1/0.6447424469/0 float=y maxiter=260 inside=0 periodicity=10 colors=000onvifpcZkYReTJ`OBVJ3Qd7WjBXoEYcC_ZAaT8cO\ 6eJ4gE2c51ZU5ZUAaUFdUKgUNiUQlUToUWqUZkVafTd`RgWPjK\ Om8VpK`rWgtgmvsfxBsywhzvYzvNzvCzv2zvCzgMzTVzEHzH3z\ K8zNDzPIzRNzUSzWXzYaz_ZzbXzeVzhTzkRznQzmQzmQzmQzmQ\ zmQzmQzmVze_zZdzRizKmzDnzMozVpzcqzlrztszvKzXJz_Izb\ HzeHzhVzmhzquzuuz9mz1gz0bz0Xz0Sz0Mz0Hz0Cz0FzAHzJJz\ SMzaOzjQzsPzqOzpNzoSziXzcazZfzTkzNpzIuzCzz7VzV0zqA\ zpJzoTznazmkzltzk`z`IzRRzE_z1Zz4Zz7ZzAZzDZzGZzIVzF\ RzCMz9Iz6Ez3Az0DzBGzLIzVLzeOzoQzySzqUzjWzcYzXTzVOz\ UJzTEzS9zR4zQ0zP5zW9zaEzhIznMztxz4ozGgzS_zcSzoKzzM\ zoNzePzWQzMMzSJzYGzcCzi9zo6ztEzrMzpUznazlizjqzhyzf\ tzkpzpkzugzylzkpzYuzKyz7mzCazHQzMFzRvzlsznpzonzpqz\ mtzkwzhzzfqzihzl`znSzqKzsMznOzjQzeSzaUzYZzVczShzQb\ zcXzqRzkMzeGz`BzV6zQFzWOzaWzgdzmmzsuzxCzDIzFOzGUzI\ _zJezKkzMqzNwzOtzUqzZnzdkzihznfzhdzbczXazR_zLYzFXz\ 9UzDOzJIzKCzL6zM0zMSzfszz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 29-08-05 (Aching Tooth [4])
by Jim Muth 29 Aug '05

29 Aug '05

FOTD -- August 29, 2005 (Rating 4) Fractal visionaries and enthusiasts: The fractal computer is still running, but for how long, no one knows. I'll keep it as my fractal machine as long as it starts up. With only 16mb memory, it needs to do nothing but boot DOS and run Fractint. Today's image was created by the ParabolicMix3 formula, which is the formula I sometimes use to determine critical points of expressions with 3 and 4 different powers of Z. In addition to creating today's image, the formula indicated a critical point at 0.6447424469, and what I call a semi-critical point at -1. The first critical point has a most unusual Mandelbrot set associated with it. I will use this M-set as the source of the next FOTD. The semi-critical point determines a nice symmetri- cal mandel-type fractal pattern, but it finds no Mandeloid. Today's image reminds me of no less than an aching tooth, which is what I named it. It's not really enough of a fractal to be considered even of average FOTD worth, so I rated it at a humble 4. The image renders like lightning however, and is finished in 39 seconds -- almost before it starts. For non-renderers, the final GIF result is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Early morning rain on Sunday here at Fractal Central cleared out by noon, leading to a pleasant partly cloudy afternoon with a high temperature of 86F 30C. The fractal cats were satisfied, but would have preferred it to be a bit cooler. Today is starting foggy. If it doesn't rain, I expect another good day for the duo. For me, the work is moderate. The next FOTD will appear in 24 hours. Until then, take care, and wait for the best. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Aching_Tooth { ; time=0:00:39.87--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=ParabolicMix3 function=ident center-mag=0.349635/-1.52479/3.537497/1/-90/-9.090\ 2769208223262 params=0.5/1.5/0.5/-1.5/0.5/2/1/1/0/0 float=y maxiter=300 inside=0 logmap=yes periodicity=10 colors=000PXOPSRQLZRN`RPbTVfV`jXfnZlr`rvbwzVoyNhxF\ bw8ZvEWtJUsPSrURp_QodQneLgfHagDVh9Pi5Ii1CU28F24021\ YMpWLmVKkr8Qw6Pu5Ms4Kq4Ho3Fm2Dk2Ai18h16j99kHBlOEmW\ GncIojLprNqyPruMrrKroIrlFriDrfBrc9kf8dh8Yj8Sl8Pk9N\ j9LiAJhAHgBFgBIeGKcKMaOO_SQYWYR_dLckFgr9ky3nw9puFr\ tLtrRvqWwnSxlPxjMxhJxfGxdDxbAx`7xQGvGOt8Gs7Kq7No7R\ m7Uk6Xi6`g6ce6gc5ja5m_5qY5tW5wU4wS4wQ4wO2w13xM3xL3\ xJ2xH2xF2xE2xC1xA1x81x70x50x30x15xf4xc4x`4yY3yW3yT\ 3yQ2yO2yL2yI1yG1yD1yA0y80y50y2GybEyYCyUAzQ8zL7zH5z\ D3z81z4lzSizQgzPezOczNazL_zKYzJVzIUzHRzFPzENzDLzCJ\ zAHz9Ez8Cz7Az68z46z34z22z1YzGPzCHz88z4UzBzz8wz7tz7\ qz6nz6kz6hz5ez5cz5`z4Yz4Vz4Sz3Pz3Mz2Kz2Hz2Ez1Bz18z\ 15z02z09z77z55z43z21z1sz`kzpgzkczg_zcXz_TzWPzSMzOI\ zKEzGBzC7z83z4uztpzolzkgzfczbZzZVzUQzQMzLHzHDzD8z8\ 4z4GzuFzqEznDzkCzhBzdAza9zZ8zW8zT7zP6zM5zJ4zG3zC2z\ 91z6dzQ_zKVzEQz9PzDPzHPzK } frm:ParabolicMix3 {; Jim Muth z=imag(pixel)+flip(real(p5)), c=fn1(real(pixel))+flip(imag(p5)), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: Sam Ende
by JackOfTradeZ 29 Aug '05

29 Aug '05

On Saturday 27 August 2005 07:24, JackOfTradeZ wrote: > It is what I use for all my viddies and we all know how cool they are > <g>. Then SAMMI wrote: >well i don't, where are they ? :) And I replied: http://www.sonic.net/~jot/ufvp.html Stay Cool JoTz

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detailed steps of single stepping color map rotation
by Hal Lane 28 Aug '05

28 Aug '05

>Subject: Re: [Fractint] RE: Re: Making an .avi from Fractint color > cycling; > >Margaret Willmer wrote: >> I may resort to saving frame by frame Here are detailed steps of how to save frame by frame: These keystrokes work in DOS Fractint -- to save separate .gif images of each step of the color map cycle type: - r to load the desired image - s to save the picture with a name in the numbered series of images you are now starting to generate - (possibly) s to save another copy of the same image but with a different name (repeat to get as many copies of the same image as needed -- see discussion below) - c to enter color cycling mode - <comma> or <less_than> to cycle one color map step, or - <period> or <greater_than> to cycle one color map step the other direction - <esc> to exit color map mode - s to save the picture - (possibly) s to save another copy of the same image but with a different name (repeat to get as many copies of the same image as needed -- see discussion below) Repeat the above steps starting at "c to enter color cycling mode" for each of the 256 color map steps. This results in a series of images that have all 'adjacent' names: e.g. FRACT027.GIF, FRACT028.GIF, FRACT029.GIF, etc. I assume that your .avi creation program can use files with 'adjacent' names as input to create the .avi The purpose of saving several copies of the same image is to make the .avi not show the color cycling quite so fast. You will have to experiment to see what is visually appealing to you. You may *not* need to save several identical copies of the same .gif image if you can tell your .avi creation software what speed to create its animation at (the frame rate). - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.16/83 - Release Date: 8/26/05

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Re: [Fractint] Re: Making an avi from Fractint
by Russell Walsmith 28 Aug '05

28 Aug '05

Well, we just spent about two hours yesterday previewing Jaçk Of TraÐeZ viddies on the big screen at the the local theater. It was awesome. So the software available at http://www.sonic.net/~jot/ufvp.html has gotta be worth a try... BTW: I finally got a look at the "T-set" in 3-D. It looks like an extruded Mandelbrot! Here's a video rendered by Paul Bourke in POVRay: http://ixitol.com/html/viddies.html

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FOTD 28-08-05 (Octoflake [5])
by Jim Muth 28 Aug '05

28 Aug '05

FOTD -- August 28, 2005 (Rating 5) Impatient fractal visionaries and enthusiasts: Today's image was originally dated August 27, but it is now so late that the image has been re-classified as the FOTD for August 28. The computer problem that caused the delay has finally been remedied, and the machine is once again behaving like it should. In a day or so, I'll try to post another image to fill the gap of the 27th, but there is no guarantee. Today's fractal is a scene in the parent fractal that results when various portions of Z^(2), Z^(3), Z^(-1.5) and Z^(4) are combined. The formula that did all the work is named MandelbrotMix3a, which works much the same as the M-Mix4 formula except that it combines 4 powers of Z instead of 2, and the critical points must be calculated separately and entered by hand. I have written a Fractint formula that draws rudimentary graphs of the entered expressions and finds some critical points graphically, but it is awkward to work with and problematical in its results. My ultimate goal is a formula that finds all the critical points of a function without the need to analyze a graph, and can at once calculate the fractal associated with any critical point that the user chooses. One of the critical points the awkward formula found for today's expression is 0.754232105. I have entered this value as real(p5), where it acts as the starting point of Z. The parent fractal consists of a fairly undistorted M-set with cantor-dust debris fields scattered about. Today's image is located near the northern branch of Seahorse Valley of the M-set. There are midgets scattered through the debris fields, but experience has shown that such midgets are usually not very interesting. I named the image "Octoflake" because it resembles a snowflake with 8 arms instead of the normally expected 6. After careful non-consideration, I rated the image at a 5, a rating that is not great, but at least is not below average. The render time of 2 minutes is fast enough, and can be eliminated entirely by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished image from there. The skies turned cloudy on Saturday here at Fractal Central, but the temperature never rose higher than 75F 24C and it remained dry. These conditions were well within the comfort zones of the fractal cats, who spent the entire afternoon hiding in the holly patch. They came inside without coaxing when evening arrived. Today is starting with clouds and showers, which will likely cause the cats to have an inferior day. For me, the day will be rather uneventful. The next regularly scheduled FOTD will appear in only 24 hours. An extra FOTD dated August 27 might appear when least expected. Let's hope that the next image, whenever it arrives, rates better than just average. Until then, take care, and don't let a fractal get the better of you. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Octoflake { ; time=0:02:16.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.6565220055047544/+0.1099144662045948\ /210172.3/1/10/0 params=1/2/-1/3/0.5/-1.5/1/4/0.75\ 4232105/0 float=y maxiter=1000 inside=0 logmap=21 periodicity=10 colors=000aK2ZJ2VH2QE2JA2662KHBXSKjbTztagdSSXJO`MK\ cPGfSDjU9mX5p_2sa5lb7fc9`cBVdDPeFJeCLa9MY6OU3PQ1QN\ dtaarZ_qXYpVWoTUnRSmPQlNWjS`hXegajefodktbpyauu`kr`\ ao_Sl_IO4kzSBrUFkWJcYNX_RQ`UQaVQaWQbXQcZyRRyn4onGe\ nRibSlRTdZaYfiRnqKuyOnzRhzVazYWzUTwRQtNNqKKnGHkDFh\ EEZEEQEEGEE7MVUTkppB8iTRbihoEor5qAKbwvUxlYybauYbqU\ bmPciLceHdaCdY8eV4eZBhbIkfPnjWqnbtlcsjdsherffrRlme\ fqcgqahp_ipZioXjoVknTlnDoBEnDFnFGnHGnJHnLInNJmPJmR\ KmTLmVMmXMmZNm`OlbPldPlfQlhRljSllWUqVWpVXpVZpU_pUa\ oUboTdoTeoTgnShnSjnSkn`ov_nuZntZntYnsXmsXmrWmrVmqV\ mpUlpTloTloSlnnOilQjkRjjSjiTjhUkgWkfXkeYkdZlc_laal\ `bl_cmZdmYemXgmWhnVinUjnTknB2zD6zE9zFCzGFzHIzILzJO\ zLSzMVzNYzO`zPczQfzRizzmzzmzzmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzznzzozzpzzozzozzozzozznzznzznz\ znzzmzzmzzmzzZzzgzzozzlzzizzfzzdzzazzZzzXzzUzzSzzP\ zzNzzKzzIzzKzzMzzOzzQzzSz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: [Fractint] Making an avi from Fractint
by Margaret Willmer 28 Aug '05

28 Aug '05

Paul N. Lee wrote: > Margaret Willmer wrote: > >>Paul N. Lee wrote: >> >>>First off, the Windows version does work >>>when you use the latest copy of WinFract, >>>which may be found at this location: >>> http://www.Nahee.com/Software/ >>> >> >>Thank you for this information, I now have the >>latest version and colour-cycling. I now have >>to fathom a way of saving that to .avi but I'll >>have a go and if I suceed I'll post a solution. >> > > > You could just maximize the window and fill the screen, then have all of > your screen's images sent straight to a video recorder, such as VHS. > This in turn could be used as input into a sophisticated video editor > application for handling and creating various movie types. > > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > Ah, yes that would work. I have a firewire card with video out. It would be nice to record it straight into Premiere though, or save it as an .avi. I'll work on it!! Very many thanks for your replies Margaret -- London NW6 1HZ -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.12/75 - Release Date: 17/08/2005

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The FOTD for August 27 will be late
by Jim Muth 27 Aug '05

27 Aug '05

Fellow Fractalists: Due to a computer problem, which must be solved, the FOTD fot August 27 will be late. Hopefully, I will post it in around 12 hours. Until then, be on watch. Jim M.

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Re: frame and video editing
by JackOfTradeZ 27 Aug '05

27 Aug '05

I am not totally sure what some of you are trying to do, but if it helps let me offer this: WinXP has a PowerToy extention you can install. When you rite-click an image, or highlite a collection of images, you can immediately resize them all to anything you specify. If interested I can tell you where and how to get this. Or you can search the MS site for "power toys". Free. The IrfanView program ( http://www.irfanview.com/ ) can also do this, and MUCH MORE. Free. As mentioned, manipulation of images this way usually loses the fractint info in the file. As for turning a collection of GIFs into AVI, check out VideoMach at http://www.gromada.com/ . It also can create other formats like MPEG1. Cost about $30. It is what I use for all my viddies and we all know how cool they are <g>. If you want to compress (MPEG4) your viddies for upload or distribution, use the microsoft Windows Media Encoder and you can get it at http://www.microsoft.com/windows/windowsmedia/9series/encoder/default.aspx . Free. Now about creating an animation with color cycling ... hmmm ... cool idea! Lemme work on that ... Long live the Cult Of Fractint! JoTz

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RE: Re: Making an .avi from Fractint color cycling; 'Stroboscopic' color cycling
by Hal Lane 27 Aug '05

27 Aug '05

#################################################### > From: Margaret Willmer <margaret(a)duomus.org.uk> > Subject: [Fractint] Making an avi from Fractint > > I am interested in making an .avi file, thence a > dv film, from the colour cycling to use as an > effect in a play. Does anyone know if this > can be done. > > Margaret Willmer > London > NW6 1HZ > A straightforward (if somewhat time consuming) way to create an .avi from Fractint's color cycling might be to save a .gif image in Fractint for each single step of the color cycle (using the > or < key in color cycling mode to advance or regress the color map one step). After advancing the color map one step you would exit color cycling mode and save the image. Fortunately Fractint will change the file name for you automatically, so you won't have to enter a new file name for each image you save. This would result in 256 .gif images that presumably you could feed to an .avi generation program. I'm not familiar with any .avi creation programs -- does yours accept a series of .gif files as input? <---<< Presumably the .avi or dv software would be able to take care of repeating the use of the 256 different images for use in making an .avi of longer than 256 frames. The software might even be able to reverse the order that the files are used in if you wanted that to happen during your effect. You might also consider the possibility of changing the speed of the color cycling during the effect by using the same .gif image for two or more frames in a row, although I am somewhat partial to a smooth change of colors myself... A simple, but somewhat cumbersome, way to change the speed of color cycling during the effect would be to make copies of the files (renaming the files to whatever is required by your software) if your .avi or dv generation software is not able to do this directly. Another way to do the same thing would be to save two (or more) identical copies of a particular image, one right after the other, letting Fractint do the renaming of the files for you. Thus, you would be using an identically colored image for two (or more) adjacent frames in the .avi. Hopefully, the above file duplication methods would not be needed if the .avi or dv software can create these effects -- and if you wanted them. I was recently color cycling different color maps in a Jim Muth Fractal of the Day and ran across an unusual effect. The combination of the particular color map and the pattern of data in the fractal created somewhat of a stroboscopic effect instead of a smooth change of colors. I had forgotten how sensitive color cycling can be to the particular image and color map that is used. If you are interested in this effect I could try to relocate the fractal and color map that exhibited this effect. If any parts of my proposed methods of creating an .avi are useful to you I would enjoy hearing about it. - Hal Lane, USA ######################### # hallane(a)earthlink.net # ######################### #################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.10.15/81 - Release Date: 8/24/05

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FOTD 26-08-05 (The Goal [6])
by Jim Muth 26 Aug '05

26 Aug '05

FOTD -- August 26, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today we have a fractal, which, like life itself, has a goal. The goal of life is sometimes said to be merely getting through the trials of life. If this is so, it is not much of a goal. I doubt that anyone has ever failed or ever will fail to get through life. Sometimes it is said that life is a school in which we learn life's lessons. If so, it is a puzzling school. A school teaches lessons that will be of practical use in the business world after graduation. Unless I have totally missed it, there is no apparent business world waiting where we will have the opportunity to put our hard-learned lessons to use once we graduate from life. What then is the purpose of the lessons we learn? It is another topic for a future burst of philosophy. Well, I had best cut it short. I started to talk about fractals but drifted into philosophy and religion. That's how it is with these mysterious things we call fractals. One sees a design and starts thinking deep and not always optimistic thoughts about other things. I am not yet thinking deeply enough to say that fractals might be alive, but since the limits of life are un- known, who knows what I might say tomorrow. One thing for certain is that today's image results from a combi- nation of Z^(3) and Z^(-2.5), with (1/C) added. The parent fractal consists of a large central Mandeloid surrounded by a huge near-circular area of semi-chaos. Today's image is located very close to the northern edge of this chaotic area. I named the image "The Goal", assuming that the eight shafts point to the almost invisible midget at the center as their goal. To achieve the mild 3-D effect, I rendered the image with the outside set to 'tdis'. The inside was set to the color in register 255 because the 'passes=b' option does not work when the inside is set to my usual setting of '0.' I used 'passes=b' because it is actually the fastest with this particular image, and it is always the most fun to watch in action. (It is also the most likely to miss large portions of images, which is why I do not use it more often.) The image is at least slightly above average, and rates a modest 6. Its modest render time of 2 minutes will use up only a small amount of computer time. And as always, the already-rendered image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The near-perfect weather continued through Thursday here at Fractal Central, and the fractal-central cats totally enjoyed it. They were outside from 10am until dusk -- about 9 hours. Rarely have I seen them so content. No tuna at all was needed in the evening. Today is starting much the same. I expect that another great day is coming up for the cats. For me it looks to be another in a near endless string of days filled with both work and relaxation, but then that's what life is all about. The next fractal, glorious or not, will appear in this same place at around 1430 hours GMT on Saturday August 27. Until then, take care, and when will A.I. computers get smart enough to reveal the answers to life's great mysteries? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Goal { ; time=0:02:04.52--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=+0.896143123570146/+13.59231798109196/1\ .217284e+011/1/95/0 params=-0.5/3/1/-2.5/-0.9/0 float=y maxiter=1000 inside=255 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000PUDPXDP`DPdDQhEQlEQpELp8QsEUuJYwO_zVayTb\ yScxRdxQexPfwOhwNivMjvLkvKluJmuInuHhuKgsHfqFepDdnB\ cm9VfKM_VDTe4Mo7OnAPnCQnFSnITnKUnNWmQXmSYmV_mY`m_a\ mVTdRLXMCPI4HL3LO3OQ3RT3UV3XY3__3cb3fd3ig3li3ol3rn\ 0zn3un5qn8mnAinDenFanIYnJWnKUlMSjOQhQOgRMeTKcVIbWH\ `YFZ_DXaBWb9Ud7Sf5Rg4Ub8XZB_VFaRIdNMgJPiFTlBWo7_q3\ bp2dp2eo2fo2gn2hn2in2jm1km1ll1ml1nk1ok1pk1qb8rUErL\ KrDQrGVkIZdLbYNfR8cAPjLeqVuwdmqafl__gXSbVLYSETQCRL\ APH9OD7M97N46L56K66J76I76H86G96F96EA5DB5CB5BC5AD59\ D98EC7FF2HI6FLAEOEDRICUMBZQAcU9zzNlzPfpRdlSagU_bWX\ ZXVUZSP`QLaNGZMCVPETSGSVITYJT`LUcNVhOVmQUmSTGTRGVQ\ FXPFYNE_MEaLEbKqhcmgdjgdggdcgd`gdYfdUzzRyvOwrKtmHr\ hEqeApe7oe4ne0mf1le1kd1jc2ic2hb2ha2i`3j`3j_3kZ3lY4\ lY4mX4nW4nWLbb`Ri75FpFpNBFiMgfOidPjbQk`RlZSmWUnUVo\ SWpQXqOYrKYtMZsOZrQ_qS_pU_oW`nY`m_`laakcajebigbhib\ gkcfmcemednceoafo_gpYhzzz } 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 PARAMETER FILE=========================================

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FOTD 25-08-05 (A Nice One [7])
by Jim Muth 25 Aug '05

25 Aug '05

FOTD -- August 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's rather soothing blue-and-lavender image resulted when I combined negative Z^(-0.5) and negative Z^(-5.5), then added (1/C). The parent fractal consists of a large sprawling, shapeless, apparently non-critical ocean, filled with countless islands, surrounded by a large disturbed area of tiny lakes and interconnected rivers. Some distance to the west lies a small but obvious, distorted Mandeloid, which most definitely is critical. Today's scene is located on a filament rather deep in the east valley of this Mandeloid. The image was generated with the MandelbrotMix4 formula, which is not perfect. It does not find all the critical points of the entered expressions, which I suspect have many critical points, but it usually finds one critical point, which is enough to reveal some intact midgets. Actually, for me, finding these critical areas is much of the fun of working with this formula. I named the image "A Nice One". The word 'nice' is what a person uses when they want to please someone but have little appreciation of the thing about which they are commenting. The word 'one' can refer to almost anything. In this case it can refer to anything about the image that the viewer desires -- the generating formula, the color palette, the picture as a whole, the midget itself, or the intricate pattern around the midget. For me, the word relates to the whole image. I rated the image at a 7 because of the coloring, which to me makes the fractal appear unusually soothing. (Since when have fractals been soothing?) With a lesser color palette, the image would rate no higher than a 5. The render time of just under 11 minutes is true on my 10-year- old P200 machine, which, with its 16mb of memory, is good for little other than old DOS programs such as ChessMaster-2001, WordPerfect-5.1 and Fractint. On any machine made in the 21st Century, today's image will render in under 5 minutes. But some present day machines are over-qualified. They have forgotten how to handle DOS programs and balk when the user attempts to boot Fractint. But these machines are very capable of surfing the web, and can easily access today's image, which is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> ready to be downloaded. Today's cat report is non-eventful. The weather remained near perfect here at Fractal Central on Wednesday, as did the fractal cats. A perfectly uneventful day might be boring to read about, but it is a pleasure to experience. Today is starting the same. Things again look good for the fractal cats. For me, there's the usual work to do and fractals to find. The next fractal will appear in 24 hours. Until then, take care, and speak with your fractals, but don't get caught doing it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Nice_One { ; time=0:10:55.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-4.97179544927615300/-0.829189165720995\ 50/1087798/1/-160/-2.63797364230544673e-008 params=-1/-0.5/-1/-5.5/0/0 float=y maxiter=1500 inside=0 logmap=202 periodicity=10 colors=000EPTDQTCRTAST9TT8UTAUUCVVEWXFXYHYZJZ`K_aM\ `bOadQbeRcfTdhVeiWfjSegPddLcaIcZFbWBaT8`Q5`N6fT6lZ\ 6rd6xj9ugBrdDoaGlZIiWKgUMdRPaORZLTWIVUGQWIMYJIZKE`\ MAbN6cOEYRMTUUOWaJZiE`q9cy4exAcwFavK`uPZtUXsZWrcUq\ hSpmRorPnwObuTRtYzsaOHFzxzGB5xrzOJHvozidjtkyqjwogu\ mdskaqiZogWmeTkcQj`NhZKfXHdVEbTB`R8ZP5XN2WXEV0SZBR\ XnX_qXZh_T_bORdJIgD9j80l34h28e2Cb2GZ2KW2NT2RP1VM1Z\ J1bF1fC1i91jE5kI9kNDlRHlWLm_OndSnhWom_oqcpvgpzjjzm\ dzoZzrTztOzvMysLxpKxmJwjIwgHvdGvaFuZEtWjzTjzQjzNew\ K`wHXqETqC6mI5jN5fT4cY3`b3Xh2Um2Rr4Rh6R_7RRCPPHNOM\ LMRKLWIJ`GIeFHXACO57G02L53QA4VF5_K6dP7iU7`_ISeSJka\ BqkGhdK_ZORTSINWAHUBNSBTQBZOBcLFzJImHLYEOWCRUAUS8X\ QCUTGRWJPZNM`_JczHfYEi`CkVOjP_jJkiEviGqjImkJikLelM\ amOYmPUnRQoSMoOLqJKsEJv9Ix5HzCjVGkVKlVOmVSmVWmV_mV\ cmVemOgmPimQkmRmmSomTqmUsmVumWvmawmgxmmymszmyzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } 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 PARAMETER FILE=========================================

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FOTD 24-08-05 (The Ringleader [5])
by Jim Muth 24 Aug '05

24 Aug '05

FOTD -- August 24, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image combines various portions of Z^(1.3) and Z^(-1.3), then adds (1/C) to create a fractal much like those seen many times before in the FOTD's, but with subtle differences that make it one-of-a-kind. I named it "The Ringleader" when I noticed the near perfect ring of rust-colored elements circling the midget at the center. The parent fractal consists of a central ocean that resembles a warped figure 8, surrounded by a large area of chaos containing the usual infinity of midgets of all shapes and sizes. Today's scene is located near one of the larger satellite midgets. I entered the mathtolerance into the parameter file by hand to be sure the image renders at the correct magnitude. The rating of a 5 shows that I consider the image to be only of average quality. The render time of 47-1/2 minutes on my old machine shows that the best way to view the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday turned out quite pleasant here at Fractal Central. Under a partly cloudy sky, the temperature rose to 82F 28C. And the humidity remained quite low all day, making it ideal for the aging cats of the fractal variety, who spent several hours lurking in the holly thicket, watching for intruders that never appeared. Only a little tuna was needed in the evening to end their day on an upbeat note. Today is starting sunny and continued ideal. Things again look good for the duo. For me, things look rather busy, but it is nothing that I cannot handle. The next FOTD will appear in 24 hours. Until then, take care, and keep iterating those fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Ringleader { ; time=0:47:30.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.32843784367421990/+0.000050140129110\ 26/1.652223e+012/1/35/-0.00128493235744315398 params=1/-1.3/-1/1.3/-0.23/0 float=y maxiter=5000 inside=0 periodicity=10 mathtolerance=/1 colors=000IfJHeJHeJHdIGcIGbHGaHF`HF_GF_GEZGEYFEXFD\ WEDVECUECUDCTDBSCBRCBQCAPBAOBAOA9NA9MA8L98K98J87I8\ 7I87H76G76F76E65D65C55C54B54A43B45C37D39E4BF6DG8FH\ AHICJJELKGNKIPKKRKKTKKVKKXKKZKK`KKbJKbIJaHJaGI`FH`\ EH_DG_CFZBFZAEZE3ZC9ZAEe8Jl6Or5Tq6Sq7Sq8Sq8Sq9SqAS\ qBRqBRqCRqDRqERqERqFQqGQqGQqHQqIQpJQpJQpKPpLPpMPpM\ PpNPpOPpPOpPOpQOpROpROpSOpTOpUNpUNpVNoWNoXNoXNoYMo\ ZMo_Mo_Mo`MoaMoaMobLocLodLodLoeLofLogKogKnhKniKnjK\ njKnkKnlJnlJnmJnnJnoJnoJnpInqInrInrInsIntIouJntIms\ IlrIlqHkqHjpHjoHinGhnGhmGglGfkFejFejFdiFchEcgEbgEa\ fEaeD`dD_cD_cDZbCYaCX`CX`CW_BVZBVYBUYBTXATWASVARUA\ RU9QT9PS9OR9OR8NQ8MP8MO8LNAKNFKMKJLPIKPIKPHJPGIPFH\ P01PFHPEGQDFSDEUCDWBDYBC_ABa9Ac9Ah89k78n67k66j56h4\ 5f44d33b23`22Z11X00VEBUDASCARC9PB9OA8NA8L97K87J86H\ 76G75F65D54C54A439338326225114112001NrPMqOMpOLoNLn\ NLmNKlMKkMKkLJjLJiLJhKIgK } 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 PARAMETER FILE=========================================

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FOTD 23-08-05 (By Crickey! [6])
by Jim Muth 23 Aug '05

23 Aug '05

FOTD -- August 23, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's little fractal diversion returns us to the vicinity of yesterday's image. But today, we ventured just a small distance farther from East Valley of the large central Mandeloid to do our searching. What we found is a scene that much resembles yesterday's image, but with more brilliant coloring. The color alone raises the rating to a 6. When I named the image, I had just seen a 'Croc Hunter' episode on TV. Maybe I'm watching a bit too much 'Croc Hunter', for I named today's image "By Crickey", an exclamation often uttered by the host. It's not much of a name, but at least it's better than 'Gorgeous!' or 'Danger! Danger!'. Such a minor fractal should be reasonably fast. Today's image is more than reasonably fast. Render times rarely come faster than the 1-1/2 minutes required for today's image to finish. For convenience, the image, already finished, is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be downloaded in about the time it would take to render. Sun and a temperature of 88F 31C, made the weather near perfect on Monday here at Fractal Central. It also made for very happy cats, who spent the entire afternoon lurking in the holly patch, guarding their territory or doing whatever they do when they lurk there. This morning is again starting near-perfect, which can mean only another great day for the dynamic duo. For me, the work waits, but it is an amount that I can easily keep under control. The next FOTD will appear in 24 hours. Until then, take care, and my answers to the big questions about life will certainly appear goofy. But will they be goofy enough? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= By_Crickey { ; time=0:01:29.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.82304734687487780/+0.837391197218849\ /4200/1/-160/9.36317516575524422e-010 params=-1.34/-1.2/0.83/1.2/0/0 float=y maxiter=350 inside=0 outside=tdis periodicity=10 colors=000pQPqOVkKYeG_`DbV9dQ6fY4jd3nl2rs1vz0yy7ry\ EkyLdyRYxYRzbKzrDxq7wg6vY5uP4tF3s62l73e74Z75S86L87\ E888897D9FI9KO9PV9U`9Zg9cm9ZhGUcMKZTBUZEPdGMkIJqKH\ wJMtIRrHWoH`mGekFjhEofEtdFwdGzdHzdHwdImdJcdK`dKZdQ\ Y`WYXaYTgXPmXLrXHkWFeWEZWDTVCMVBGVAHT8HR7HP6HN5HL4\ HJ3HI2KEDMBOO7ZQ4iS1sRBaQLKPU3SPBVKJXGR_BZa7fYHdUR\ bR`aNj_KsZL9KL9KK9JJAJJAJIAIHAIHAIGAHFAHFAHEAGDAGT\ rbRl_PfXNaULWRJQOHLLFFImzMkxLjvLiuLhsLgrLfpKeoKdmK\ clKbjKaiK`gJ_fJZdJYcJXaJW`JUZITYISWIRVIQTIPSIOQHNP\ HMNHLMHKKHJJHIHGHGGGEGFDGEBGopQlmPjjOhhOeeNccNa`MZ\ ZLXWLVUKTRKQPJOMIMKIJHHHFHFCGgJkfIjeIidIhcIgcHgbHf\ aHe`Hd`Gc_GcZGbYGaXG`XF_WF_KpcHniEloCjuGitKhsOgrSf\ qVeqP`mJXiDTe7Pa1LY8QZFVZMZZTcZ_hZflZaiWXfUTcSO`QK\ YOFVMBSKHYYNbkGZY9VL3S8`fmuQ_v4xFldNaVUSMJgoOhnTin\ YjnbknglmlmmqnmvomuintdnsZosUorOoqJppDpp8pplroc`nV\ JnN1oO3pP5qQ6rR8sS9tTBnTI } 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 PARAMETER FILE=========================================

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FOTD 22-08-05 (Skimmers [7])
by Jim Muth 22 Aug '05

22 Aug '05

FOTD -- August 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal is named "Skimmers". There is nothing in the image that suggests such a name. I gave it this name because, after yesterday's 'dodo' image, I am still thinking of birds. At least skimmers, unlike dodos, are still quite plentiful and in no immediate danger of extinction. The parent fractal was created by combining various portions of Z^(-1.2) and Z^(1.2) before adding (1/C). It consists of a single large Mandeloid lying near the center of a vast expanse of chaos, which holds the usual infinity of other Mandeloids of all sizes and shapes. Today's scene lies in the chaos in the vicinity of East Valley of the large central Mandeloid. Most Mandelbrot midgets are surrounded by a symmetrical pattern of fractal elements, but the pattern around the midget at the center of today's image lacks this perfect symmetry. It does have a kind of symmetry however, which is somewhat spoiled by the unbalanced size of the corresponding parts of the pattern. The better-than-average coloring raises the rating to a 7. The render time of 11 minutes (on my tired old worn-out machine) is a bit slow, bordering on the boring. The rendering wait may be eliminated however by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A burst of philosophy appears at this point in the philofractal version of today's discussion. A high temperature of 93F 34C here at Fractal Central on Sunday made it a bit too warm for the fractal cats, but they still managed to enjoy over an hour in the shade of the holly thicket. A bit of extra tuna in the evening, combined with a bit of New York sharp cheddar cheese, ended their day satisfactorily. Today is starting sunny and a bit cooler. It should be a better day for the duo. For me, about three hours work is waiting, which I should be able to get through in plenty time to find a fractal worthy to be tomorrow's FOTD, and to do some serious philosophical pondering. Until then, take care, and sometimes it would be an advantage to be in many places at once. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Skimmers { ; time=0:10:57.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.801157791361965/+0.8200981387637338/\ 935877.5/1/77.5/1.36488390208022725e-007 params=-1.34/-1.2/0.83/1.2/0/0 float=y maxiter=2000 inside=0 outside=imag logmap=195 periodicity=10 colors=000z_0ze0zpLzzrzzznwzatzSmzGfz6az8Wz8Vl8Ub8\ Oc8HZO8ld0pu0zr0zr0zp2zp4zp8znCznGznHzO_n0rL0z00p4\ 0YC0GJ00S00_00h20WA2JHL8Qe0Yz0ez0Sz0GuC4jU0Yn0Lz0C\ z0SzAenWuWpzGlzEhzCdzChzLlzUnudrnluhurnjpranzSlzJj\ zAhz2ez0aG0G00000400C01J02S04_08h0Ap0Cz0Eh1JU6OECS\ 1JW0Q_0Wd0nz0zz0lzCSuQ_Uah6np0pn0pn2plAplJpjSpjapj\ jz01A0z10z00j_zzCn04e00W00O00G400h0880e00h00j00l00\ n06p0Er0Hr0Lu0jz0_z2QuCGeL0OU6SWHUYUYYe__rdaz_Yzea\ zldzpezwjzzlzznzzpQzY16z0zG0rQ0dY0Qh0Ap00z00z0j_0e\ e0aj4YnAWuGSzLOzOGzSLzWQz_Wna_eeeYjjOnpGlz0nz4pu8p\ hCrUGuHJ00lQ0_u6O0u0Oa4zJEwh0Jz0Wz0hu0rh0zW0zV0zX0\ zU0kH0aECJCU00Q00J00O00Q00U20WC0_L0aW2ew0el0hd4hWE\ hOQjG_j8ljGzW1wj0zh0zh0ze0ze0zY0ze0un0ew0Uz0Sz1SzA\ QwHQuSOraOprHhnLljOneQpaSrYUuOYWG_86d00h04l0Ap0Eu0\ Jz0Qz1Uz8lz1zz0uzClzWdzpOzu8zz0zz0zzGzzuzzzzuzzjzz\ _zzQ6zzOzQdz0CzeezGez2jz0 } 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 PARAMETER FILE=========================================

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FOTD 21-08-05 (The Dodo Bird [4])
by Jim Muth 21 Aug '05

21 Aug '05

FOTD -- August 21, 2005 (Rating 4) Fractal visionaries and enthusiasts: If anyone sees a dodo hidden in today's fractal, they are better than me at finding hidden images. I named today's fractal "The Dodo Bird" because I was in a frivolous mood. There is no dodo in the image. In fact, there has not been a live dodo on earth for over 300 years. The last dodo died long ago on Mauritius island in the Indian ocean, where these flightless pigeons once thrived. Dodos became extinct because they were too specialized to survive the environmental changes brought about when men arrived on the island with their domestic animals. But all is not lost. In place of dodos we now have fractals, which are in no danger of becoming extinct. A sample of a fractal appears as today's image, which was created by subtract- ing Z^(1.2) from Z^(-1.1) and adding (1/C). The parent consists of two small separated Mandeloids, with much filamentary debris scattered about. This debris is rich with hidden midgets, one of which appears at the center of today's image. I could rate the image no higher than a sorry 4. There have been too many similar images recently to rate it higher. The render time of 2-1/4 minutes is reasonable enough, but it still might be advantageous to download the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday started cloudy, but the sun appeared by midday, leading to a rather muggy but bearable afternoon with a high temperature of 88F 31C. The fractal cats made the most of things by spend- ing the afternoon well hidden in the holly patch. Only a little tuna was needed in the evening. This morning is starting sunny and a bit less muggy. It's too soon to predict the cats' day. My day will be good enough . . . once I get the grass trimmed, that is. The next FOTD will appear in 24 hours, with perhaps a bit of philosophy added. Until then, take care, and be yourself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Dodo_Bird { ; time=0:02:18.57--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.29894636246327120/+0.351996100076137\ 30/310077.5/1/160/1.10693738966660682e-008 params=1/-1.1/-1/1.2/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000aUP_NMXFIV8ET1BTaXQb_OcbMddKegK_dLTaLMYM\ GVM9SN2OM3TK5YI7bH8gFAlDCqBEwBJsAPn9Vj9_e8ea7kX6qS\ FmXOhbXcheZnnUtxPzvOwtNsqMooLkmKgjJcgPWdVOa`GZf8Zd\ FYaMYZTXW_XTfWQmWM_VIMXMM_QMaUMdZNgbNifNljNooOjoHd\ oAZo2Yi6XbAWWFVQJUJNTCSULZVVeWdlXnsYxz_svbmregnhaj\ kWfnQbqKZtEVhNVWWVKdV7mUGfYQZa_SeiKikPdnU_qZVtcQwi\ KniIdiFViCLi9g5HeBEcHB`N8ZT5W_2WX7VTCUQHTMMSIRRIRQ\ HROGQNFQLEPSJT_PYgVbo`gwflecgO`b5XX6_Z8ca9gdBjgCnj\ ErmGvpHqpJlpLgpMbpOYpQTpPRnOOkNLhMJeLGbKD_JAXOO`Tb\ dWbYZaQaaId`Ag_2bV4YQ6SL8NGAIBCC6EQTZcotlZsvHrt`Xq\ uAqt9rs7rsBrrGrrKrqPrqTrpYrpam4CTLO7b`OeYdhVvlRqgV\ laZgWbbQfYKkdWnkgqsstskotbjuUevL_sFSo8Jk1Aj5Ei9IhD\ MgHQfLUePYdTabXeZ`ZVeSRjLNoEIt6ItMItbIusHcuFLwKQqQ\ WkV`e`f_ekUkqOqwIqvJquLrsNmnNhiNcdNZ_NTUOTLVTBaS1i\ T3gV6dW9bYC__EY`HVbKTdNQkJQrFPzBO_`j94IC4JG5LK5NO6\ OS6QW7SRHTMRUGaVBkWfhXdaT } 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 PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 30, Issue 6
by harrybissell 20 Aug '05

20 Aug '05

> > From: Margaret Willmer <margaret(a)duomus.org.uk> > Subject: [Fractint] Making an avi from Fractint > > Hello > > I played with Fractint on my old DOS PCs and remembered the colour > cycling mode. I even have a boot "Fractal Creations" from 1993!! > > I have now installed the programme on my windows PC and have it all > working fine except that I would like it not to take up the whole > screen. I've looked all through the file list and cannot see a .bat or > anything else where I might change the setting. > > I am interested in making an .avi file, thence a dv film, from the > colour cycling to use as an effect in a play. Does anyone know if this > can be done. I have tried the windows version of fractint but the > colour scrolling doesn't work. I am aware that Fractal Explorer has an > .avi making mode and will use this if I have to but it is the colour > cycling that I really wanted. > > Can anyone help, I would be most grateful > > Margaret > > -- > Margaret Willmer > London > NW6 1HZ > <delurk> Can't help you directly but can offer moral support. I used the composite video output from my video card to drive a VCR to make animated fractint movies. I modified some fractals as .gif files, replaced them into Fractint... so I could have text added and do color cycling. If you make the text in the .gif transparent color... it will NOT cycle with the other colors so you get a layered effect. You can also add other .gif images like photos etc and make them color cycle. Downside was that 640x480 is about the highest resolution that a TV set can reproduce. Higher rezzes just look blurry. Imagine... they make computer video projectors now. :^P How cool would THAT be (as everyone who lives in the 21st century goes ... 'yawn'....) H^) harry <resume lurk>

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FOTD 20-08-05 (Flanges [5])
by Jim Muth 20 Aug '05

20 Aug '05

FOTD -- August 20, 2005 (Rating 5) Fractal visionaries and enthusiasts: When I opened my e-mailbox this morning, I found 11 meaningless letters with 11 copies of the same 79k-byte 'zip' file attached. (One 'zip' file attached to each letter!) It must be some new virus that has just started circulating. We'll see how fast the Earthlink virus filter, which is pretty efficient, starts recog- nizing and deleting it. No deep meaning lies hidden in today's image. It is simply one of the infinite things that numbers do when reiterated. The generating formula is a play on the negative square root of 2, which creates another of those parent fractals that defy exact description. Basically, the parent fractal is a Mandeloid with X-axis symmetry, orientated with the main stem facing east. The large main bay contains two crescent shaped islands, and a circular ring lies at the tip of the main stem. Today's scene is located on the north shoreline of the large bay. To add a bit of interest, I rendered the scene with the outside set to 'real', which colors the pixels according to the value of the real part of the point of escape. The effect is one we have seen several times in recent FOTD's, which is why I rated the image at an altogether average 5. The name "Flanges" came to mind for some reason as I was contem- plating the image in search of a suitable name. Looking at the image today, I see no justification for such a name. A flange is part of a railway wheel, and today's image lies nowhere near the fractal railyard. The render time of 13 minutes is a bit slow for a merely average image. But much time may be saved by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. Occasional rain fell through the morning and into the early afternoon Friday here at Fractal Central. The temperature of 75F 24C was quite comfortable, but the fractal cats would rather have been outside. They turned grumpy early and stayed grumpy all day. An extra large treat of tuna in the evening brought them back to a bearable mood. Today is starting cloudy and very muggy. It might turn out too warm for the aging duo. We'll see how the day goes. For me the day will be busy but under control. And the next FOTD will appear in 24 hours. Until then, take care, and don't be one of them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flanges { ; time=0:13:04.99--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+4.551130184773475/+2.515387973760837/7\ 423992/1/15/-2.064168181666e-006 params=2.5/-1.414\ 2/-0.03/-4.1421/0/275 float=y maxiter=2500 inside=0 outside=real logmap=181 periodicity=10 colors=000l0Yv0az1dz2gz4fy6dq8bi9aaBaTD_LFYDGW4BT6\ GW6KY6N_6Qa8Tb8Wd8ag8di9gk9kl9nnBvt9qo8nk8jf6fa4bW\ 4YR2TN2QI1LD0I80D20900601B04G08L0BQ0FV0I_0Ld0Pi0Qk\ 0Rn0Ro0Rr1Rt4Tx9TyFTzKTzNVzRVzWVzaRzaVzdWzfYzg_yib\ rkdnlfingdoi_qnbgrf_vqaxiRyaIzT8zF0zL0yQ6tWFqaNnfV\ ilbfqkYzqbvrfqtilvlgxqbytYzxTzzPzzKzzFzz9zz4zz1zvP\ k_iLIz0Fz0Bz48zF4yP1xY0vg0tq6voGxnRylazklzivzgzzfz\ zdzy_ztWxnTqiQkbNfYKaTGZNDUI9GB6962410941D81GB1LF1\ PI1RK2VN2_Q2bT2fW2iV0iY2ia8idDifIiiNilRioWiq_itdix\ iiznizrizxizzizzkzzizzgzzfzyfztdznbziaydaxY_tTYrNW\ oIWnDQofKqzPlzTizYfzbazgYzlVznbzniznoznvynzxnzvnzt\ izrfzqbzo_znWxlTtkQqiNngKkfGgdDdb9aaBY_DWYFVWGRVIQ\ TKPRLLQNKQPIPQFNRDLTBKV8IW6GY4F_2Flb0ad0QdBFdPV000\ Q40VG0_Q0zlWz0Nt2DlKzBydQlzY4aaL0z00y90qIzzarz_Tq_\ Gf0Bd68dLPWFFaQg01PGKK0vF8n9PfWlzPixIgoBfg8R06Y9l0\ zQKx0900000100FBK0NT0Qb0T } 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 PARAMETER FILE=========================================

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