May 2004 - Fractint - mailman.xmission.com

FOTD 08-05-04 (The Golden Egg [5])
by Jim Muth 08 May '04

08 May '04

FOTD -- May 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: For today's parent fractal I combined positive and negative Z^1.5 with 1/3 as much positive and negative Z^4.5, and set initial Z to -1. This parent fractal is not really a single fractal, but rather a scattering of tiny open areas, some of which are small Mandelbrot sets, while others are mere shapeless holes. The place I chose to explore was the area just east of the tiny westernmost M-set. This area holds many scattered bits and pieces of fractal debris. Much of this debris is concentrated around large central disks, like satellites circling a planet. The debris is plentiful, but only a few pieces contain midgets. Today's image shows a midget lying in this field of debris. I named the image "The Golden Egg". The golden color is obvious, but as for that egg, well, I have no idea where it might be. I rendered the image with the outside set to 'tdis'. I find I am using this option more often, since it does rather well on disconnected scenes such as today's, where the standard 'iter' rendering falls flat. I could rate the image no higher than a 5. It is not all that striking and we have seen many similar images before. But the render time is only 3-1/2 minutes, which raises the overall value to a respectable 147. Perhaps the most respectable way to see the golden egg image is to download it from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday here at Fractal Central was warm and sunny enough until 2pm, when a rain squall arrived and the temperature dropped from 86F 30C to 67F 19C. When the wind arose, the cats beat a hasty retreat and spent the rest of the day on their window shelf, watching the outside activity from inside. By evening they were mildly annoyed, but only a minor treat of tuna was needed to make them happy. This morning it is cooler with lots of clouds. The duo is likely to have another less-than-perfect day. For me it's likely to be an uneventful day, that is unless the aliens arrive from space. Since I expect no aliens, I will be free to return in 24 hours with another fractal. Until then, take care, and I wonder if the aliens know about fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Golden_Egg { ; time=0:03:24.70--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=-1.54575313438937500/+0.827504998767173\ 40/3.087104e+007/1/-170/-3.94734106006627838e-006 params=1/-1.5/-1/1.5/0.333/-4.5/-0.333/4.5/-1/0 float=y maxiter=500 inside=0 outside=tdis periodicity=10 colors=000AJ08T08d06m66xC4zH4zL0zE0s80g24dARbGm`Ls\ REvJ8zC2z40z00z00z00z00z00z00z00x00u00q40o60uAEzCX\ zGqzHzzJzuRzbXzJdm0i`4ZP6PE8G2A60C00XC0oR0zd0zg0zi\ 0zm0zo0zs2zu4zx6zz8zvTssmbozNmzRbzVRzZGzb4ze0zi0zm\ 0zq0zu0zx4xzEqiHiVLbEPX0TP0XJ0RH0LH8GGGAGN4EV0Eb0E\ e4GgEHkNJmVLqdNsmPvvRxzRkxNZuJLqGAkE0gA0d60`40XEEV\ NZRXsPdgbiZomNzqEzu4zxzzXieGGG000000bECkPLs`Vzkdzv\ mzzvzdXzC8z00uZ0Zz0Cz2Lz2Vz4bz4kz4uu6zq6zm6zi4xe4d\ b2JZ20V20X60X82XCEZERZHbZJm0uE0oGAkGRgHedHmVJuNLzG\ Nz6Pz0Rz0Tz0Vzz8ozAdxCToEHdE6TG0JH08J00J06GCECVL8m\ T4z`0ze0zdCzbNz``zZkuZv6GL00e00x00s00o00k00g04d28`\ 4CX4EVbXmzozz00z00z00v08m2Ge4Lqd6zz0qzzvzvzzkzz`zz\ NzvCzq0zm0zb0zT4zJCzAJz0Rz0Zo8NXNCEd00s00m00gA0dH0\ ZR0T`0Pg0Jq0Gx2TvCduLqsVzqdzomzmdzgXzbNzZGzT6zN0zJ\ EzGTzEgxAvo8zg6z8mz0zz0zzCezTJzk0zz0kv0TsH8od0kzgR\ 0biNXzuTxs44`66N86AA80C80 } 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 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] Franktal Gallery is back !
by Ale 07 May '04

07 May '04

Hi Miguel, long time no see! I hope everything is ok. I was browsing your site and there was a problem, which I copy/paste here: Sorry, this site is temporarily unavailable! The web site you are trying to access has exceeded its allocated data transfer. Visit our help area for more information. Access to this site will be restored within an hour. Please try again later. http://www.geocities.com/franktal2002 Also couldn\'t acces to the FZ page... :( Cheers, Alejandro Mensaje citado por: Franktal Gallery <franktal(a)hotmail.com>: > Franktal Gallery is back, and everyone\'s invited to check it out. > > http://www.geocities.com/franktal2002 > > Regards, > Miguel > > _________________________________________________________________ > The new MSN 8: smart spam protection and 2 months FREE* > http://join.msn.com/?pageþatures/junkmail > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > __________________________________ Registrate desde http://servicios.arnet.com.ar/registracion/registracion.asp?origenid=9 y participá de todos los beneficios del Portal Arnet.

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Franktal Gallery is back !
by Franktal Gallery 07 May '04

07 May '04

Franktal Gallery is back, and everyone's invited to check it out. http://www.geocities.com/franktal2002 Regards, Miguel _________________________________________________________________ The new MSN 8: smart spam protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Re: [Fractint] need some help...
by nick.grasso＠hrads.com 07 May '04

07 May '04

Caren wrote: >>>i've tried chaos pro and it worked well for one of my old collection (one that didn't require an external FRM), but crashed badly on another (same one that when it worked, it didn't recreate correctly at all)... i've also looked at winfract 20.2, and it refuses to handle large images (among other issues)...<<< Have you tried UltraFractal? It is compatible with most Fractint formulas and you can make the fractals any size you want. It is $60 but you can download a free trial. Nick

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FOTD 07-05-04 (Rocket [6])
by Jim Muth 07 May '04

07 May '04

FOTD -- May 07, 2004 (Rating 6) Fractal visionaries and enthusiasts: I have a young friend who apparently is convinced that there is an evil plot foisted by aliens from outer space. According to him, these aliens are already in control of many governments and big businesses, and are currently in the process of softening us up, making us into mentally-retarded, helpless, docile sheep, addicted to TV, viagra, computer games, cell phones and brain- dead gadgets in general. He supposes we will soon be burned-out hulks unable to mount any resistance to the coming invasion and ready to be carted off as slaves. I'll not go into the details of how the plot is supposed to work, but I must admit that after listening to him present his case and observing the craziness of the present-day world, I can see why so many are convinced that UFO's are actually alien space ships. But don't worry. I don't believe this alien-invasion nonsense . . . not yet. I named today's image "Rocket" because the dark shape in the center is vaguely shaped like a rocket ship. According to 'Smedley', the aliens are so technologically advanced that they don't need rockets. They move from their departure point to their destination instantly, without needing to occupy the points in between. Their method of travel is even better than teleportation because it is not limited by the velocity of light. Today's image, which is almost as fast as light, is based on a previous FOTD image, one that appeared many years ago. But in today's incarnation, it has been changed enough to make it virtually new. The parent fractal is a distortion of the Z^1.064 Mandeloid, created by the JimsCompMand formula, which is simply a further generalization of the 'cmplxmarksmand' formula of Fractint. In the original image, one of the two orangish streaks was the Hale-Bopp comet. I preserved the color palette of that old image, adjusting only a few registers for special effect. When all was said and done, the result was worth a 6, which is what I rated it. But that routine 6 is raised to a whopping 654 by the render time of under one minute. So forget the aliens and start rendering, or visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished image from there. A pleasant day here at Fractal Central on Thursday, with lots of sun and a temperature of 75F 24C, made for happy cats. After a quiet day in the yard and on the porch, they enjoyed a treat of tuna. It was as close to cat paradise as it is possible to come on the earthly plane. This morning is starting cloudy, and rain is possible this afternoon. But it is still warm. We'll see how it goes. My day will go well when the work is finished and the next fractal found. That fractal will appear as tomorrow's image. Until then, take care, and never abandon the search for the lost fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Rocket { ; time=0:00:55.04--SF5 on a P200 reset=1950 type=formula formulafile=allinone.par formulaname=JimsCompMand center-mag=-1.14178850421\ 374300/0/91.1936/1/-90/-1.23373533611470521e-014 params=1.064/0/1.651/0/0/0 float=y maxiter=860 bailout=100 inside=255 logmap=27 periodicity=10 colors=000EKKDPzBPzAPz9Nw7Ns6Po5Pl4Rk2Rj1Ti0Th1Tf2\ Te3Sc4S_5R`5Q`6P`7O`8N`9M_AK_BK_CKZDKZDKZEKYFKXGKX\ HJWIKVJKVKKVKKULKUMKUNKTOLTPMTPNTQOSSPQUQPWROYSN_T\ LaUKcUJeUIgUGiVFkWEmXDoYBqZBs_Au`9wa7xb6yc8zc9zcBz\ cDzcFzcGycIxcKwcLvcNucPtdRseSrfUqgWphXoiZni`mjblkc\ klejjehieggeefeddfbcfaaf_`fZZfXXfWWfUUfTTfRRgQQgOO\ gNNgLLgLLhMMhMMiMNiMNjNOjNOkNPkNPlOQlOQmORmORnPRnP\ SoPSoPTpQTpQUqQUqQVrRVrRWsRWsYUsdRtjPtqMtpNspOroPq\ nQpnRomSnlTmlTlkUkjVjjWiiXhhYghZfg_fg`efadebcecbdd\ ace`ce_bfZagYahX`iW_jV_kUZlTYiUXgVWdWVaXU_YTXZSU_R\ S`QPaPMbOKcNHdMEeLCfK9gK7hL8iM8iM9iN9iN9iOAiOAiPBj\ PBjQBjQCjRCjRCjSDjSDjSDjQGgPIeNKbMM`KOZJQWHSUGVVGX\ XF_YEbZDd_DgaCjbBlcAodArf9tg8whBueGraIp_LoYNmVPkTS\ jRUhPWfMZeK`cIbbGbdHbeHbfIbgIq8`p9`n9`mA`lA`kB`iB`\ hC`gC`eD`dD`cE``Fa`Fa_GaYGaXHaWHaVIaTIaSJaRKaPKaOL\ aNLaMMaKMaJNbIObGObFPbzzb } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END 20.0 PAR-FORMULA FILE==================================

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More Mandelbrot sets????
by Raymond Filiatreault 07 May '04

07 May '04

I don't know if this is the proper forum to ask my questions. If not, may someone be kind enough to give me proper directions. Fractals have been one of my numerous hobbies for several years. Another one of my hobbies is programming. Lately, while programming another one of those zillion fractal generators (in assembly as a challenge and by curiosity), I accidently stumbled on two "fundamentally" different simple formulas which produced the exact same fractal!!! In addition, that fractal is a replica of the Mandlebrot set in approx. a quarter of its size and shifted approx. +2 on the X axis. The Julia sets are also replicas, similarly reduced in size and shifted. My questions are: 1) Have different formulas producing the same fractal been reported in the past? 2) Are there currently known formulas, other than the z^2+c, producing a replica of the Mandelbrot set? In other words, am I re-inventing the wheel? Raymond _________________________________________________________________ MSN Premium: Up to 11 personalized e-mail addresses and 2 months FREE* http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=ht…

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FOTD 06-05-04 (Four-Star Fractal [6])
by Jim Muth 06 May '04

06 May '04

FOTD -- May 06, 2004 (Rating 5) Fractal visionaries and enthusiasts: I am once again fabulously wealthy. In my e-mail this morning I found that I had won not one but three international lotteries, and there are also two people in Africa who are ready to share over 50-million dollars with me. The irony is that if I had somehow found a way to eliminate all spam, I would never have realized that I have become rich. I must celebrate by finding a rich fractal. Today's fractal however is only middle class. True, it is a four-star fractal, but it is not four-star in the quality sense, such as a four-star hotel or restaurant might be. In fact, it rates only an average 5. It is four-star because it has four stars, or more accurately pentagrams, surrounding the central midget. The parent fractal, which combines diminishing portions of Z^(-1), Z^(-2), Z^(-3) and Z^(-4), is a delicate inside-out thing -- a cloud of evaporating fractal debris floating in the infinite nothingness of fractal space. Mandel buds line the outer edges of the debris cloud, with the largest two buds lying at the northern and southern extremities. Today's scene is located some distance west of the southern bud. Since the parent fractal was already evaporating when I stumbled upon it, I helped the evaporation along by raising the bailout (escape-radius) to one-googol. (no relation to the popular internet search engine) I then re-rendered the blank screen with the inside set to bof61 to produce today's image. The hum-drum average rating of a 5 and render time of over 23 minutes holds the overall value to a measly 21. But that value may be increased by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near-perfect day here at Fractal Central on Wednesday, with lots of sun and a temperature of 70F 21C, was spoiled by a brief thunder-squall at 6pm. The cats scurried inside when the weather turned bad, but it was no great loss. They were ready to come inside anyway. Today is starting similarly. It looks like another good day for the cat duo. For me, the problem is the fractal grass, which is up again and in need of a trimming. And before I return to Fractal Land, there is some commercial work to do as well. The next FOTD will appear in 24 hours. Until then, take care, and be of fractal mind and sound body. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Four-Star_Fractal { ; time=0:23:20.54--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=+0.49379527691459430/-0.935006663699541\ 20/2585228/1/-85/1.751373456954e-007 params=2/-1/1\ /-2/0.5/-3/0.25/-4/-0.825328/1e+100 float=y maxiter=800 inside=bof61 outside=tdis periodicity=9 colors=000vl5vo5us1vq5vo8vmBvkEvjHvhLvfOvdRvbUvaXv\ _`vYcvWfvUivTlrRhoPelObiM_eKWbJT_HQXGNTEJQCGNBDK9A\ I74H87H99H9BHAEGAGGBIGCLGCNFDPFDSFEUFFWFFZEG`EGbEH\ eEIgDIiDJlDJnDKpCIuDKrELoFNlGOjGQgHRdITaJU_KWXKXUL\ ZRM_PNaMObJOcHelEwtBurDtqFspHqoJpnLomMnlOlkQkjSjiU\ hhWggXffZee`cdbbcdabf`agMlP8v6DtAIrDNpGSnJXnLWmMWm\ NWmOWmOWmPWmQWmQWmRWmSWmSWmTVlUVlVVlVVlWVlXVlXVlYV\ lZVlZVl_Vl`Vl`XkaYjaZia_ha`gaafabeacdadcaebafaag`a\ h_aiZajYakXahNhlXariUpfVndVlbVj`ViZVgXVeVVcSVaQV`O\ VZMVXKVVIVTGVSEVTGUUIUVKTVLTWNSXPSYRRYSRZUQ_WQ`YP`\ ZPa`ObbO_hNbcOd_OgWPiRPlNQlCRnJQoQPpXOxdRqcOkcMdbJ\ acFZbHXaIV`JS_KQZMOZNLYOJXPHWREVSCUT7TTAUUCVUEWUGX\ VIXVLYVNZWP_WR_WT`XVaXYbX_cYacYcdYeeZhfZjfZlg_nh_p\ i_ujeri_oiUliPihJfhEch8ah3YgAVfGReMOdSKcYHbcAYhEai\ HdjKhkNklQnmRlnSjoTioUgpVfqWdqXcrYasY`sZZt_Yu`WuaV\ vbTwcSwdQxgNydPxtd4ug4ui5 } 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 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 05-05-04 (The Total Distance [6])
by Jim Muth 06 May '04

06 May '04

At 09:16 AM 5/5/04 -0400, you wrote: > >FOTD -- May 05, 2004 (Rating 6) > >Fractal visionaries and enthusiasts: > >This will be a short discussion. I am falling behind in my >work and must get caught up before I find myself in another >morass. > >Yesterday's image was a meditation on the negative golden ratio; >today's is a meditation on the negative square root of 2. The >parent fractal is another grossly oversized thing with more >places to investigate than could fit in an infinite universe. > (oxymoron noted) > >Today's image was rendered with the outside set to 'tdis', which >explains the name "The Total Distance". The inside was set to >'fmod' to fill in some holes. > >Since IMO the image is a bit above the uninflated FOTD average, >I rated it at a 6. The render time of just over 6 minutes gives >an overall value of 98. > >Rendering can be eliminated entirely by downloading the finished >image from: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >A sunny but chilly day on Tuesday limited the cats' outdoor time >to under two hours. But this was enough to keep their moods >good. Today is starting sunny and warmer, but showers are >possible later. We'll see how things go for the duo. > >For me, it looks like a normal day. Except for the left-over >sawdust, that fallen limb has been disposed of. Until next >FOTD, take care, and be at ease. > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START 20.0 PAR-FORMULA FILE================================ > >The_Total_Distance { ; time=0:06:04.00--SF5 on a P200 > reset=2003 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=recip passes=1 > center-mag=-1.51093310954631/+1.769058060551924/2.\ > 186424e+011/1/-82.5/-0.06180700158054 params=1/-1.\ > 414/0.1/-14.14/0/0 float=y maxiter=1000 inside=fmod > proximity=10 outside=tdis periodicity=10 > colors=000J4EH5CD68B848905B09E0DI0GM0JQ0NV0QX0kG05\ > j38g6Bd9DcDG`GI_JLXMNWP3Bzt0nuWJuz0fz8TvNEqd1kuMcd\ > fXPgVNhTNjRMkQMmPLnNLoMLmIMkENhCPg8Qd5Rc1Ta0TX3TR5\ > VL8WTI_WNaVPhJMc3GT1LW1QX1WY0_`0da0jc0ndDrWQuNcyGq\ > z8zz0jf6RIC90HW4aX8RXCHXG8XJ0XN0_Q0aT0dV0gX0hY0oH0\ > u00n00h00c00Y00T00N00M63LJ5LX9JjCJxEEuI9rL4oN0mR0j\ > V0gX0`VBVTLNQWHPfCNPm9QgGRcLTYRVVXWQaXLhYHn_DtaGqc\ > HofJmgLkfVddc_ckVauP`zJXvPTqVQkYMfcJ`gGWmDQqBTu9Wx\ > 6Xz5_z3az1cz0Qx0Dk00_00N03H0GB0V40g0G_M`RjuJz6_h4Q\ > q1Hy09z0Hr0Nd0WR0aE0j10q00q08q3Gq9NqGWqMcqTjq_k`fk\ > Mkk8qYLtLXv8jy0vz3ru9noGjjMfdTa__YVfVPmQLhRNdTP`TQ\ > XVRTWTQWVNQJLL9IH0LL4MP8PTCQXHT`LVcPWcMWdJWfGXfDXg\ > BXh8Xh5_d8a`BdXDgTGjPImLLoHNrDQu9Tx6VaNLHdDJhJLkQM\ > nXNqcPtjQvqRyxTzzXzy_ztazndzjgzdjz_mzVozQrzLuzGxzB\ > zz6zz1zz0zz0zz0zz4zz9zzEzzJzzPyzVxz_vzduyjtyorxuqx\ > zqxzoR6kP8hM8fJ8aH8_E8M3I } > >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================================== > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 05-05-04 (The Total Distance [6])
by Jim Muth 05 May '04

05 May '04

FOTD -- May 05, 2004 (Rating 6) Fractal visionaries and enthusiasts: This will be a short discussion. I am falling behind in my work and must get caught up before I find myself in another morass. Yesterday's image was a meditation on the negative golden ratio; today's is a meditation on the negative square root of 2. The parent fractal is another grossly oversized thing with more places to investigate than could fit in an infinite universe. (oxymoron noted) Today's image was rendered with the outside set to 'tdis', which explains the name "The Total Distance". The inside was set to 'fmod' to fill in some holes. Since IMO the image is a bit above the uninflated FOTD average, I rated it at a 6. The render time of just over 6 minutes gives an overall value of 98. Rendering can be eliminated entirely by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny but chilly day on Tuesday limited the cats' outdoor time to under two hours. But this was enough to keep their moods good. Today is starting sunny and warmer, but showers are possible later. We'll see how things go for the duo. For me, it looks like a normal day. Except for the left-over sawdust, that fallen limb has been disposed of. Until next FOTD, take care, and be at ease. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Total_Distance { ; time=0:06:04.00--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.51093310954631/+1.769058060551924/2.\ 186424e+011/1/-82.5/-0.06180700158054 params=1/-1.\ 414/0.1/-14.14/0/0 float=y maxiter=1000 inside=fmod proximity=10 outside=tdis periodicity=10 colors=000J4EH5CD68B848905B09E0DI0GM0JQ0NV0QX0kG05\ j38g6Bd9DcDG`GI_JLXMNWP3Bzt0nuWJuz0fz8TvNEqd1kuMcd\ fXPgVNhTNjRMkQMmPLnNLoMLmIMkENhCPg8Qd5Rc1Ta0TX3TR5\ VL8WTI_WNaVPhJMc3GT1LW1QX1WY0_`0da0jc0ndDrWQuNcyGq\ z8zz0jf6RIC90HW4aX8RXCHXG8XJ0XN0_Q0aT0dV0gX0hY0oH0\ u00n00h00c00Y00T00N00M63LJ5LX9JjCJxEEuI9rL4oN0mR0j\ V0gX0`VBVTLNQWHPfCNPm9QgGRcLTYRVVXWQaXLhYHn_DtaGqc\ HofJmgLkfVddc_ckVauP`zJXvPTqVQkYMfcJ`gGWmDQqBTu9Wx\ 6Xz5_z3az1cz0Qx0Dk00_00N03H0GB0V40g0G_M`RjuJz6_h4Q\ q1Hy09z0Hr0Nd0WR0aE0j10q00q08q3Gq9NqGWqMcqTjq_k`fk\ Mkk8qYLtLXv8jy0vz3ru9noGjjMfdTa__YVfVPmQLhRNdTP`TQ\ XVRTWTQWVNQJLL9IH0LL4MP8PTCQXHT`LVcPWcMWdJWfGXfDXg\ BXh8Xh5_d8a`BdXDgTGjPImLLoHNrDQu9Tx6VaNLHdDJhJLkQM\ nXNqcPtjQvqRyxTzzXzy_ztazndzjgzdjz_mzVozQrzLuzGxzB\ zz6zz1zz0zz0zz0zz4zz9zzEzzJzzPyzVxz_vzduyjtyorxuqx\ zqxzoR6kP8hM8fJ8aH8_E8M3I } 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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Re: [Fractint] The "MandelbrotMix#"
by Jim Muth 05 May '04

05 May '04

At 12:29 AM 5/1/04 -0400, Hiram Berry wrote: <snipped> >After "Fractal Nonsense", which I think you also rated a 5, >I don't put much credance in your ratings Jim. That one, which >showed a morphologically sextic midget in the main filament of >a fractal with a quartic generator, showed something >fundamental about Mandeloid generation and thus ought to be >ranked somewhere near the top of the scale regardless of >whether your colorist's skills were in evidence that day or not. I think I had a whole series of images leading up to the spurious sextic midget, which should indicate that I noticed something mathematically unusual in it. My ratings are entirely subjective, and depend largely on my mood at the time I rate the images. Perhaps I should give my images two ratings -- one for artistic worth, the second for mathematical interest. >A while back you chided Sherlok Merfy for not initializing z on >a critical point in one of his fractals. The chiding was kind of hard to resist, especially in light of the cute spelling he came on with, and words and phrases such as 'SherLok', 'Merfy', 'private instigator', and 'brewhaha', etc. in his internet addresses. No harm was intended, and I doubt that SherLok was seriously offended. >That would seem to imply that you value the concept of >purposeful intent in fractal creation, rather than just >randomly trying a lot of parameter combinations in hope of >hitting something interesting. I aim for a blending of random discovery and purposeful intent. IMO, when fractals are over-planned, much of the surprise and therefore the fun is lost. >I suppose you wanted Sherlok to understand how to apply the >Fatou Theorem to generate a maximal set of fractal points. Not so. I have no idea what the Fatou Theorem is. The rest of the letter demands more careful consideration. It has some valuable ideas in it. Jim M.

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