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FOTD 03-04-02 (Logarithmic Spiral [5])
by JimMuth＠aol.com 03 Apr '02

03 Apr '02

FOTD -- April 03, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene deep in the Z^(sqrt(2))+C Mandel fractal. I named it "Logarithmic Spiral" because of the vividly demonstrated spiral patterns surrounding the midget. These patterns can almost be seen trailing off the screen into remote imaginary dimensions. I enjoy exploring the Z^(sqrt(2))+C fractal because in it the midgets are quite challenging to find, yet often give away their presence by lying at the center of two symmetrical features -- just as midgets do in the classic M-set. Today's image can rate only a mediocre 5 however, for due to lack of time, I could give it only a cursory coloring effort. To add to the disappointment, the parameter file requires a one-hour wait before the image is finished. Some degree of salvation is at hand however in the form of the FOTD web sites, where the image will be available as soon as Paul and Scott can render and post it. Paul's site is at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Scott's site is at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Tuesday here at fractal central was cat- pleasing. Warm sunshine, gentle breezes and a temperature of 64F 18C made outdoor conditions near perfect for the aging but still dynamic duo, who spent several hours lounging in their porch chairs. But with design work to get done, a CD to work on, fractal philosophy to write, and fractal grass nearing the trimming stage, I have no time to lounge. So until next time, take good care, and cultivate patience. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Logarithmic_Spiral { ; time=1:00:01.10--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.41397782356481880/+0.885364077781793\ 80/6.328408e+010/1/130.000071851788562/-0.00018653\ 2972593252133 params=1.4142/0/13/0 float=y maxiter=16000 inside=0 logmap=-1750 periodicity=10 colors=0CCxCOwCOwCOvHOtPMtXMrhMpmMoeKoXKmPKkHKkCJj\ CJhCJfCJfCHeCHcCHcCHbCF`CFZCFZCFYCDWCDWCDUCDSCCRCC\ RCCPCCNCCNCCMCCKCCICCICCHCCFCCFCCDCCCCCACCACC9CC7C\ C5CC7CC9CCACCACCCCCDCCDCDFCDHCFHCHICJKCJKCKMCMNCMN\ COPCPRCRRCRSCSUCUWCWWCWYCXZCZZCZ`C`bCabCccCceCeeCf\ fChhChhCjjClkCmkCmmCooCqoCqpCrrCttCutCuvCwwCywCzxC\ zxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzxCzx\ CzxCzxCzxHzxKzxPzxSzxWzw`zvczthztlzrozptzowzmzzkzz\ kzzmzzmyzouzouzouypuupuqpumrujruetuatuXtuUvuPvuMvu\ JmuOeuRZuWRtZKrcCqf5ol0mo0la0jr0hz7fz5hz5jz5lz5lz5\ mz4oz4qz4qz4rz4tz4tz2uz2wz2yz2yz2zz2zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zy0zy0zw0zw0zu0zu0z\ t0zt0zt0zq0zo4zl5zj9zhAzeDzcFzaIzZKzXNzWPzSSzRUzOY\ zMZzKbzHczFfzDhzCkzCmzCfzCbzCZzCYzDWzDWzFUzFUzHSzH\ RzHRzJPzJPzKNzKNzMMzMKzMKzOIzOIzPHzPHzRFzRDzRDzSCz\ SCzUAzUAzW9zW7zW7zX5zX5zZ } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] OT: Group Theory
by Multiple Bogeys 03 Apr '02

03 Apr '02

> ...can anyone remember the Cayley table for the "four group"? And while > we're on the subject, how many distinct 6th-order groups are there? > Obviously there's the 6th-order cyclic group... Then there's the product of > C2 and C3... and I seem to recall the 3rd permutation group too... but is > that isomorphic to C2 x C3? I'm not sure here... HEEELP! The direct product of C2 and C3 is cyclic. (This always happens with a direct product of cycles whose orders are pairwise relatively prime. In this case, consider the powers of the entry (1,1) to see that this element has order 6.) The only other group of order 6 is the non-abelian dihedral group -- the set of rotations and reflections that keep an equilateral triangle invariant in the plane. This is actually the full symmetric group on three objects -- all permutations of three things, under composition of permutations. The table for the four group is: 1 a b ab a 1 ab b b ab 1 a ab b a 1 ObFractal: when's a really truly truecolor capable 32-bit Fractint gonna be available? :)Get more from the Web. FREE MSN Explorer download : http://explorer.msn.com

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Re: [Fractint] Targa support
by RENRAD1＠aol.com 02 Apr '02

02 Apr '02

In a message dated 4/2/02 3:50:21 AM Pacific Standard Time, twegner(a)swbell.net writes: << so we might as well remove the code, which we can't test anyway, and it is getting in the way >> Ah, my mistake....not using the video support here either and have no objections trimming it away. Thanks for the clarification :)

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Re: [Fractint] Targa support
by Franktal Gallery 02 Apr '02

02 Apr '02

Last time I saw a Targa board over here, it was 1995 (i think). It was state-of-the-art at the time, but ridiculously overpriced. >>>so we might as well remove the code, which we can't test anyway I say, off with its head !! Best regards, Miguel >From: Tim Wegner <twegner(a)swbell.net> >Reply-To: fractint(a)mailman.xmission.com >To: fractint(a)mailman.xmission.com >Subject: Re: [Fractint] Targa support >Date: Tue, 02 Apr 2002 05:49:30 -0600 > >Thierry wrote: > > > > did you speak about videoboard or file support ? > > > >Egad! I scared folks unnecessarily. I was referring to Targa video >support, not to the creation of TGA files. > >I don't think there are many of those boards left, if any, so we >might as well remove the code, which we can't test anyway, and it is >getting in the way. TGA FILE support, however, is essential and we >aren't considering removing it. > >Tim > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _________________________________________________________________ MSN Photos is the easiest way to share and print your photos: http://photos.msn.com/support/worldwide.aspx

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Targa support
by Tim Wegner 02 Apr '02

02 Apr '02

Does anyone know of anyone who uses Fractint's Targa support? Speak now or forever hold you peace! (This is NOT an April fool's message... :-) Tim

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Re: [Fractint] Targa support
by RENRAD1＠aol.com 02 Apr '02

02 Apr '02

I use the tga now and again for the 3-d regenerations and using them for image maps in pov-ray. Is it to be deemed obsolete? ~renrad

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The (theoretical) photo contestette.
by JimMuth＠aol.com 01 Apr '02

01 Apr '02

Fractal visionaries: If we are to have a contest, (which I doubt will happen), to see who can write the most appropriate caption for the photo of myself that was recently posted to the FOTD web sites, I should comment that the photo does have a story, (albeit a tiny one), behind it. Ah, but I'll not tell the story at this time. I'll wait until the conclusion or definite non-happening of the contestette. A thing that is not anticipated is no fun at all. Jim M.

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FOTD 25-03-02 (The Verge of Chaos [4])
by JimMuth＠aol.com 01 Apr '02

01 Apr '02

FOTD -- March 25, 2002 (Rating 4) Fractal visionaries and enthusiasts: There are rumors that I am running out of enthusiasm for the FOTD, that the interval between FOTD's will gradually grow longer until that day arrives when the FOTD shall be no more. These unfounded rumors must be laid to rest. True, it has been four days since the last FOTD. This delay has been because of an unexpected work load, the preparation of the FOTD CD, and a sudden burst of activity on the philofractal list, which despite my best intentions, I simply cannot tear myself from. The delay does not indicate an impending boredom on my part with fractals or the FOTD. Indeed, when the CD is ready, the FOTD will return to its daily schedule. Today's image is a return to the area of the M-set where chaos begins. The elements surrounding the midget have already largely disintegrated into chaos, leaving only, zig-zag arms and a few flat areas. The next image, which is due on the 27th, will be one fully immersed in chaos. I could rate today's image, which I named "The Verge of Chaos", no higher than a 4. But do not despair, far better things are to come. The render time of 4 minutes can be escaped by downloading the finished image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Sunday was chilly, but sunny and pleasant, with a cat-pleasing temperature of 59F 15C. And I've got so much to do that if I don't get started, I'll never finish. Until next time, take care, and look for a photograph of myself in the near future. Until the photo appears, go with your mental image. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Verge_of_Chaos { ; time=0:04:08.16--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.5708\ 5039304966/+0.453496735249136/7.606225e+009/1/-114\ .999613695731085/-0.00029650285574524954 params=0/0 float=y maxiter=50000 inside=0 logmap=975 colors=000eAYeAYfAYfAYg9Zg9Zg9Zh9Zh8_i8_i8_i8_j7`j\ 7`k7`k7`k6al6al6al6am5bm5bn5bn5bn4co4co4cp4cp3dp3d\ q3dq3ds2eq3do3cm4bk4bi4ag5`e5_c6_b6Z`6YZ7YX7XV8WT8\ VR8VP9UO9TMATKASIARGBQEBQCCPACO9COAEPBFQBGRCHSCITD\ JUDKUELVEMWFOXFPYGQZGRZHS_HT`IUaIVbJWcJYcKZdK_eL`f\ LagMbhMchNdiNejOgkOhlPimPjmQknQloRmpRnqSorTqsSprSo\ rSnrRnrRmrRlrQkrQkrQjrPirPirPhrOgrOfrOfrNerNdrNdrM\ crMbrMarLarL`rL_rK_rKZrKYrJXrJXrJWrIVrIVrKUqPTqUSq\ ZSqcRqkQqqPqlPocOmZNmUNmPMmKLmFKmDKmDJmCImCImCHmBG\ mBFhBFcAEhADmADq9Cq9Bq9Aq8Aq89q88q57p88qA8rC8rE9sG\ 9sI9tKAtMAuPAvRBvTBwVBwXCxZCy`CzcDzbCzbCzbCzbCzbCz\ aCzaCzaCzaCzaBzaBz`Bz`Bz`Bz`Bz`Bz`Bz_Bz_Bz_Az_Az_A\ z_AzZAzZAzZAzZAzZAzZAzY9zY9zY9zY9zY9zX9zX9zX9zX9zX\ 8zX8zW8zW8zW8zW8zW8zW8zV8zV8zV7zW8zX9zYAzYAz_Az`Az\ aAzbAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcAzcA\ zcAzcAzcAzcAzcAzcAzcAzcAz } END PARAMETER FILE=========================================

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FOTD 31-03-02 (Totally Unexpected [7])
by JimMuth＠aol.com 31 Mar '02

31 Mar '02

FOTD -- March 31, 2002 (Rating 7) Fractal visionaries and enthusiasts: It's Easter Sunday here at Fractal Central and all is well. True, a light rain has started to fall and the cats are unhappy, but other than that, all is indeed well. Well, all is not totally well, especially for those who can never be satisfied -- those who complain that the recently posted photograph of myself is five years old. Yes, it is five years old, and Fractal Central has moved since then, but other than a little more grey here and there on me, and a few changes in the surroundings, both I and Fractal Central look exactly the same as we did when the FOTD began. But do not despair. All hope of being updated is not lost. Up-to-date photos of myself, the fractal cats and the new Fractal Central will be coming in the not-too-distant future. Until that glorious day arrives, be satisfied with what you've got. Now on to the ever-exciting world of fractals. Every once in a while a fractal comes along that is totally unexpected. Today's image is one of those totally unexpected fractals. It was generated when the basic equal-iteration-bands method was applied to the iterated formula 10Z^(0.1)-Z+C, yet it looks more like it was created by some wild invention with a coloring section many lines long. I named the image "Totally Unexpected" because that's what it is. I rated it a 7 because that's what I feel it is worth. The render time of the attached parameter file is in the vicinity of 1/2 hour, a long enough wait to make a download of the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> worth the little effort. The fractal weather Saturday was hazy and warm. The temperature of 68F 20C brought out the best in the cats. Too bad it's raining today. Rain brings out the worst in them. Right now, I'm setting myself up for a huge Easter feast. If I survive the feast, I'll return on April 3 with the next awe- inspiring image. Until then, take care, and think about what might really lie behind Easter. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Totally_Unexpected { ; time=0:34:27.62--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-12.28736645188386000/+4.17419235654376\ 100/2.132333e+007/1/107.500992798218562/1.59569265\ 622064305e-005 params=-1/1/10/0.1/0/-50 float=y maxiter=4200 inside=0 logmap=-633 periodicity=10 colors=030XE0YE3_E5`E8aECcEDdEHfEIgEMhEPiEQkETlEUm\ GXnH_nE`nAcn7dmA`mEXlHUlLQlOMmRImUDnX8n_5oa0rc0n`0\ l_0iY0gX0dV0aU0_R0XQ3WO3UM5TL5SJ6A06PE6OC8MA8K8AI7\ AH4AF8FFAKFEPFETFEXFE`FEdFEfDEgDEhDEiDEkDElDEmDEnD\ EoIEoMEoPEoSEzUEzXEz_EzaLzdRzgXzkazmfzolzrqztqzvrz\ yszzszzuzzuzxzqvzdzzSzzPvwOrmMtmKxmIzmHzmFzmSzm`zm\ iymrxvzvzzvzzrzzozzmzzizzgzzdxzauzYrzWpzTlzQjzMfzI\ czF`zCYz6Uz3Rz0Oz0Lz0Oz0Qz0Tz3Uz3Vz5Yz6_z8az8czAdy\ CfxDhxFkvHlvKmvOptQqsTrsWuvYwz`yzczzfzzhzzkzzmzzoz\ zrzztzzvzxyzvzzszzqzynzylzyizxgzxdzwazw_zwXzvWzv_z\ uczugzukzsnzsrzsvzryzrzzrzzrzzqzzqzzrzzszzuzzvzzwz\ zxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzvzzozzizzczzXzzQzz6zz8zzAzzCzzDzxFzvH\ zsIzoKzmMzkOzhPzfQzcSz`TzYUzWTzUTzTTzSSzSSzQSzPSzP\ QzOQzMQzKPzKPzIPzHPzHOzFOzDOzCMzCMzAMz8Mz8PzDSzHTz\ KvzIvzFvzCtz8tz5sz0rz0rz0 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 28-03-02 (Totally Chaotic [4])
by JimMuth＠aol.com 31 Mar '02

31 Mar '02

FOTD -- March 28, 2002 (Rating 4) Fractal visionaries and enthusiasts: With today's image we move into the area of total Mandelbrot chaos. Well, the chaos is not quite total, for the vestiges of a pattern are still visible. But the pattern is so vague that the image can fairly be called totally chaotic. There actually are midgets even closer to the Mandel-bay shoreline, which have nothing but a flat, featureless area around them. I call these midgets "beach midgets" because they appear to be surrounded by grainy sand. I did not picture a beach midget, since they are stupendously boring, but they are there to see for anyone who cares to look. I named today's image "Totally Chaotic", though "Almost Totally Chaotic" might be a more appropriate name. I rated it at a 4. The 1/2-hour render time is a bit much, and may not be worth the effort. The more convenient way to see the image is to download it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Wednesday was cloudy, cold and blustery here at Fractal Central. The high temperature of 47F 8C chilled the cats' ears to such a degree that they stayed outdoors only a few minutes, spending the rest of the day on their window shelf, watching the world pass by. I now must get busy on more pressing things, such as the FOTD-CD. The next ongoing FOTD will appear on March 31. By the time the next FOTD appears, a photograph of myself in my full glory should be available on the two FOTD web sites. Until then, take care, and patience is ultimately rewarded. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Totally_Chaotic { ; time=0:32:19.96--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.73741884592783290/+0.129114364330561\ 30/4.929151e+010/1/-169.99989572305887/-0.00051823\ 1262023396977 params=0/0 float=y maxiter=500000 inside=0 logmap=25000 symmetry=none cyclerange=2/255 sound=off colors=000000oPHoRGoTEmTCmVCmXAmX8kZ8k`6k`4kb2id2i\ d0ie0ig0ig0gi0gk0gk0gm0eo0eo0eq0es0es0gu0gu0gu0gu0\ iu0iu0iu0iu0ku0ku0kv0kv0mv0mv0mv0mv0mv0ov0ov0ov0ox\ 0qx0qx0qx0qx0sx0sx0sx0sx0sx0uz0uz0uz0uz0vz0vz0vz0v\ z0xz0xz0xz0xz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zx0\ zx0zv0zv0zu0zu0zu0zs0zs0zq0zq0zo0zo0zm0zm0zm0zk0zk\ 0zi0zi0zg0zg0ze2ze2ze2zd2zd2zb2zb4z`4z`4zZ4zZ4zZ4z\ X6zX6zV6xV6xT6xT6xR8xR8vR8vP8vP8vN8uNAuLAuLAuJAuJA\ sJAsHCsHCqGCoGCkECiECgCEeCEbCEdAEeAEg8Ei8Gi6Gk6Gm8\ GmAGqCHoEGmGGmHGkJGiLGiNGgPGgRGeTGdVGdXGbZG``G`bGZ\ dGZeGXgGViGVkGTmGRoGRsGPvGPzGNzGLzGLzGJzGJzGHzGGzG\ GzGEzGCzGCzGAzGAzG8zG6zG6zG4zG2zG2zG0zG0zG0zG0zG0z\ G0zG0zG0zG0zG0zG0zG0zG0zG } END PARAMETER FILE=========================================

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