March 2004 - Fractint - mailman.xmission.com

formulafile=cards.par
by SherLok Merfy 02 Apr '04

02 Apr '04

(That's not actually necessary, unless you want to see what comes without parameters, but renaming the file is, because no root seems to be on this Lynx-fronted UNIX-compatible terminal system of late.) Your rights to this work do not exclude commercial development, and you are welcome to make recognizable changes to the tune, the colour maps or the methods of imaje composition in order to call it yours. Failing such uses that I would consider fair, and recovering your costs of production means that you owe me. The contents of this message are otherwise meant for intact distribution. Other rights or obligations may follow from laws or institutional guidelines respecting attribution or netiquette in your society. A private instigator transmitted this message. Square { ; Stripped formula for diamond. params=1/0/2/0/ident ; Display=function first. Public domain. z=z-z, c=fn1(pixel), delta=P1: z=(z+delta)*(z-delta)*(z+flip(delta))*(z-flip(delta))/c |z| <= real(P2) } PixelPower { ; Formula for club. Public domain. z=fn1(pixel), s=P2+fn2(pixel), if(P3==(0,0)) P3=sqrt(0,2) endif: z = z^s +P1, |z| <=real(P3) } Heartx { ; Stript version of hearty. params=1/0/4/0/ident ; Public domain. s=z=fn1(real(-1/pixel) +flip(imag(-.5/pixel))): z=s*(z-P2)*(P2-z) |z| <= real(P1) } Rock { ; Formula for Diamond. z=z-z, c=fn1(pixel), iter=-1: iter=iter+1, if(iter>-1 && iter< 14 ) note= 11 elseif(iter> 13 && iter< 36 ) note= 13 elseif(iter> 35 && iter< 42 ) note= 17 elseif(iter> 41 && iter< 52 ) note= 19 elseif(iter> 51 && iter< 66 ) note= 16 elseif(iter> 65 && iter< 80 ) note= 23 elseif(iter> 79 && iter< 102 ) note= 31 elseif(iter> 101 && iter< 108 ) note= 29 elseif(iter> 107 && iter< 118 ) note= 23 elseif(iter> 117 && iter< 132 ) note= 31 elseif(iter> 131 && iter< 146 ) note= 11 elseif(iter> 145 && iter< 168 ) note= 10 elseif(iter> 167 && iter< 174 ) note= 13 elseif(iter> 173 && iter< 184 ) note= 17 elseif(iter> 183 && iter< 198 ) note= 13 elseif(iter> 197 && iter< 212 ) note= 29 elseif(iter> 211 && iter< 234 ) note= 51 elseif(iter> 233 && iter< 240 ) note= 59 elseif(iter> 239 && iter< 254 ) note= 44 elseif(iter>= 254 ) iter=-1 endif, note=note* 19 / 460 z=(z+note)*(z-note)*(z+flip(note))*(z-flip(note))/c |z| <= real(P1) } Hearty { ; Might be worth compiling as overlay. s=z=fn1(real(-1/pixel) +flip(imag(-.5/pixel))), iter=-1: iter=iter+1, if(iter>-1 && iter< 7 ) note= 11 elseif(iter> 6 && iter< 18 ) note= 13 elseif(iter> 17 && iter< 21 ) note= 17 elseif(iter> 20 && iter< 26 ) note= 19 elseif(iter> 25 && iter< 33 ) note= 16 elseif(iter> 32 && iter< 40 ) note= 23 elseif(iter> 39 && iter< 51 ) note= 31 elseif(iter> 50 && iter< 54 ) note= 29 elseif(iter> 53 && iter< 59 ) note= 23 elseif(iter> 58 && iter< 66 ) note= 31 elseif(iter> 65 && iter< 73 ) note= 11 elseif(iter> 72 && iter< 84 ) note= 10 elseif(iter> 83 && iter< 87 ) note= 13 elseif(iter> 86 && iter< 92 ) note= 17 elseif(iter> 91 && iter< 99 ) note= 13 elseif(iter> 98 && iter< 106 ) note= 29 elseif(iter> 105 && iter< 117 ) note= 51 elseif(iter> 116 && iter< 120 ) note= 59 elseif(iter> 119 && iter< 127 ) note= 44 elseif(iter>= 127 ) iter = -1 endif, note=flip(note* 19 / 460 ) z=s*(z-note)*(note-z) |z| <= real(P1) } Tool { z = z-z, iter=-1, c=fn2(fn1(pixel)): iter=iter+1, if(iter>-1 && iter< 3 ) note= 47 elseif(iter> 2 && iter< 5 ) note= 23 elseif(iter> 4 && iter< 16 ) note= 37 elseif(iter> 15 && iter< 21 ) note= 29 elseif(iter> 20 && iter< 24 ) note= 31 elseif(iter> 23 && iter< 26 ) note= 29 elseif(iter> 25 && iter< 37 ) note= 31 elseif(iter> 36 && iter< 42 ) note= 23 elseif(iter> 41 && iter< 45 ) note= 31 elseif(iter> 44 && iter< 47 ) note= 29 elseif(iter> 46 && iter< 58 ) note= 41 elseif(iter> 57 && iter< 63 ) note= 47 elseif(iter> 62 && iter< 66 ) note= 43 elseif(iter> 65 && iter< 68 ) note= 47 elseif(iter> 67 && iter< 79 ) note= 23 elseif(iter> 78 && iter< 84 ) note= 31 elseif(iter>= 84 ) iter=-1 endif, z = z^(note/ 33.875) +c z = z*z z = z*z +c |z| <= imag(P1) } DiamondH { ; ~14s/megapixel. Use the absolute negative of ; this to mask off the border of DiamondV. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=zzz000<4>000zV0<3>zzz<3>0Wz0z00zz00zz0z00z<3>mmzzzzzzuppzzzkeez\ zz`WWzzzRLLzzzGBBzzz000zpzA<3>Bzo0zz00zz00BAzzBCMKzzMPYVzzY`hdzzhmtnzz\ tz000uzu000<4>000<3>0009z900z0zzzz0hzhzzzz000z0z666z6zCCCzCzIIIzIzOOPz\ PzUzVzVz__`z`zeegzgzkkmzmzqq000000zzz<4>zIzz9zz0z000<26>000<4>000z8000\ 0<69>000<4>0000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0\ z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z00\ 0z0 video=SF5 savename=diamondh } DiamondV { ; Use this after above modification to drop ; luminance of DiamondH. Raise luminance through ; negative of this. ~35s/megapixel@350Mhz ; Map Needed for other parameters. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 outside=atan invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=(a)grayhack.map } DiamondS { ; fmod view for mask on negation, maybe. ; ~30s/megapixel. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 inside=0 proximity=1 outside=fmod logmap=old invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=000<151>wwwxxxxxx<3>zzz000<95>000 } ClubsH { ; Sorting off. Start with DiamondH. ; ~1m/megapixel. reset=2003 type=formula formulafile=cards.par formulaname=pixelpower function=sin/sqrt center-mag=1.42995/0/0.1520244/1.4243/90/3.88578058618804789e-016 params=0/0/0/0/0/0 float=y maxiter=1024 inside=0 invert=1.45742001678948/1.33/0 symmetry=xaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=000z00z10z40z70zB0zG0zK0<3>zf0zl0zs0zz0zz0<9>Oz0Kz0Gz0<3>0z0<9>\ 0zb0zf0zj<3>0zz<9>0Oz0Kz0Gz<3>00z<191>z0z } ClubsV { ; ~1.5m/megapixel @ 350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=pixelpower function=sin/sqrt center-mag=1.42995/0/0.1520244/1.4243/90/3.88578058618804789e-016 params=0/0/0/0/0/0 float=y maxiter=1024 inside=0 outside=atan invert=1.45742001678948/1.33/0 symmetry=xaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=(a)grayhack.map } heartH { ; Chrominance: Alter through masks. ; ~2m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)preemoh.map colors=zzzz00zz00z00zV0zz0Wz00z<3>z0zz0Wz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz\ 00zV0zz0z<3>z0Lz0Bz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00z<3>e0zo0zz0zz0Wz00<\ 3>ze0zo0zz0<3>0z00zV0zz<3>0Lz0Bz00z<3>z0z<3>z0Lz0Bz00<3>zV0zb0zj0zr0zz\ 0<3>0z00zV0zz<3>00zV0zz0z<3>z00<7>z_0zc0zh0<3>zz0<3>0z0<3>0ze0zo0zz0Wz\ 00z<3>P0zV0z`0z<3>z0zz0Wz00<3>ze0zo0zz0<3>Lz0Bz00z0<3>0zz<3>0Lz0Bz00z<\ 3>e0zo0zz0zz0Wz00<3>zP0zV0z`0<3>zz0Wz00z0<3>0zz0Wz00z<5>V0z_0ze0z<3>z0\ z<5>z0Wz0Rz0L<3>z00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00zV0zz0z<3>z0az0Wz0Q<3>\ z00<3>zzz } heartV { ; Drop luminance through this "graymask". ; ~3.5m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 outside=atan symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)grayhack.map } heartS { ; Mask on negation. Last. Raise contrast. ; ~3.5m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 proximity=1 outside=fmod symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)grayhack.map } Spades_Crude { ; If I do say so, myself. 8-) ; 23.62s/megapixel@350Mhz. reset=2003 type=manzpower center-mag=-0.9616/0/1/1.19/-90/3.88578058618804789e-016 params=0/0/4/0 float=y maxiter=255 inside=0 proximity=4 outside=fmod invert=0.47/-0.47/0 symmetry=xaxis colors=(a)grayhack.map } Spades { ; 4by5 is 2400*1575 for 8"*5.25" @ 300dpi. ; Same colours as HeartH with first colour black. ; ~50s/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=tool function=flip/recip center-mag=0/0.541224/0.1891708/1.97 params=2/4 float=y maxiter=255 inside=0 symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 viewwindows=0/0/no/600/315 colors=(a)preemoh.map } SpadesVV { ; Disk-video modes only work with passes=1. ; grayhack.map=-altern.map with first colour set to black. ; ~1m/megapixel@350Mhz. I deleted my true graymaps, ; because it's usually an error for me to use them, ; and they're easy to jenerate, approximately. reset=2003 type=formula formulafile=cards.par formulaname=tool function=flip/recip center-mag=0/0.541224/0.1891708/1.97 params=2/4 float=y maxiter=255 inside=0 outside=atan symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 viewwindows=0/0/no/600/315; colors=(a)grayhack.map }

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FOTD 31-03-04 (Pre-History [6])
by Jim Muth 31 Mar '04

31 Mar '04

FOTD -- March 31, 2004 (Rating 6) Fractal visionaries and enthusiasts: For today's FOTD I depart from my usual unending stream of midgets and present one of the many other objects that exist in the world of fractals. The object I chose resembles something that might be found crawling along the floor of some pre-historic sea. It might be a trilobite, it might be something entirely unknown, but whatever it is, it has been extinct for many millions of years. I named the picture "Pre-History" in recognition of something that came and went so long ago. Today's image is part of the fractal that results when the Z of yesterday's formula is changed to Z^(1.6), and the other parameters are kept the same. At first glance it appears as though no midgets lie hidden in its depths, but the midgets are there, and one of them will appear as tomorrow's FOTD. The rating of 6 combines with the render time of 34 minutes to give an overall value of 18. The rendering may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unusually chilly temperatures and heavy clouds here at Fractal Central on Tuesday limited the fractal cats' outdoor time to less than 1/2 hour. Considering that the temperature never rose above 45F 7C, their moods were quite good. Today is starting similarly unpleasant. I expect a similar reaction from the duo. It's now time to put the day's tasks behind me, so until next time, take care, and which way did that fractal go? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Pre-History { ; time=0:33:58.94--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.05380875308290200/-0.034858178076994\ 84/76981.01/1/30/-8.37821326205023809e-010 params=1.03/1.6/0.0001/100/0.1/0 float=y maxiter=18000 inside=255 logmap=676 periodicity=10 colors=000ONpNNpMNqLNqLNqJRpHVoFZnFamKelPikUljZpic\ thhwhmtehqbcn_ZkYUhVPeSKbQF_NAXK8UH9RF9OCAL9AJ7BMC\ BOHCRLCTQDWVDYZD_cEbhEdlFgqFivFjzGjwHivHhuIgsIfqJe\ pJdnKdlKckLbiLagM`fM_dNZbNYaOY_OXYPWXPVVQUTQTSRSQR\ SPPTROTTNTUMTWLTYJTZIT`HTaGTcFTeETfCThBTiATk9Tm8Tn\ 7Tp5Tq4Ts3Tu2Tv1Tx0TyAUwJUuSUs`VqiVorVmiWe`WZSXSJX\ LBXEBWNBVWBVdBUmBUvD7AC68B66G75L84P94UA3YB3bC2fD2k\ E1oE1kH4gK6dN8`PAYSCUVERYGN_IKbKGeMDgO9xOEuVJs`Npf\ SnmXks`iy_do__fZVXZQOZLFWIJTGMRDQOBTL8XJ6_G3cE1fK4\ gP6hV9i_BjeEkjGlpJmuLmqNjmPhiRfeTcaUaYW_UYXQ_VN`TL\ YSKVRJTQHQPGOOFLNDIMCGLBDK9BJ88I76HADGCKFFREHYDKdC\ MkBPrARx9SvEStJSsOSqTSoXSnaSlfSjkSioMdgG__BWT5RL0N\ E1PG2RI3TK4VM5XNGUTRSZ`QdkOjuMptOjtPetQ`uRbvScw8ex\ UfyVhzWizXkzYlzZnz_oz`pzalzbhzcdzd`zeXzfTzgPzhLziH\ zjDzk9zl6zmPznfzoxzpvzquzrtzssztrzuqzvpzwozxmzylzz\ kzzjzzizzhzzmzznzznzzozzo } 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 30-03-04 (Congregation [7])
by Jim Muth 30 Mar '04

30 Mar '04

FOTD -- March 30, 2004 (Rating 8) Fractal visionaries and enthusiasts: To create the parent fractal of today's image, I took Z and added to it a very insignificant 0.0001 part of Z^100. When the tiny bit of Z^100 turned out to be not so insignificant, I added 0.03 parts more Z to the mixture on a whim. To complete the mixture, I multiplied the entire thing by 1.1 by setting real(p3) to 0.1. (I could have done the same thing by changing real(p1) to 1.133, real(p2) to 0.00011, while leaving real(p3) at zero.) I then began my exploration. With these parameters, all the action lies beyond the west border of the default screen, but can easily be found with one outzoom. I'll not try to describe what lies there, but it does have a tiny East Valley populated by elephants that remind me of the 'Flattop' character of the Dick Tracy comic strip. Today's scene lies on the southern shore of that valley, in the trunk of one of the flat-topped elephants. There are so many interesting things in today's image that, when I studied it, searching for a name, it reminded me of a congrega- tion of fractal features. I named the image "Congregation" accordingly. The rating of an 8 might be a bit overblown, but, with its plethora of detail, the image is definitely above average. The overall value is held down to a 26 by the 1/2-hour render time, but the image is still worth the time spent. And as always, those who would rather not spend time rendering images may see the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With more sun than expected and a temperature of 48F 9C, Monday turned out to be a better day than had been forecast by the experts. The fractal cats, who don't listen to weather reports, were never concerned, and had a quite pleasant afternoon in the yard. Thomas even worked up enough energy to bat around a few dried-out magnolia leaves. In the evening, the duo retired without asking for tuna. Today is starting cloudy and cold. We'll see what happens with the duo. For me, it appears today will be un-notable. But I'll try to find a fractal worthy of at least some note. My success (or lack thereof) will appear in tomorrow's FOTD. Until then, take care, and don't go along with the non-fractal crowd. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Congregation { ; time=0:30:23.81--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-7.39578216954515400/-0.236832685099223\ 50/2.07789e+008/1/97.5001386452413072/-0.000193294\ 786338664426 params=1.03/1/0.0001/100/0.1/0 float=y maxiter=9000 inside=0 logmap=572 periodicity=10 colors=0004M24N23P23Q22R22S21T21U20V20W25Y8A_DFaIK\ cNOeTTgYYibbkgfmlhonipojqqlrrmssntupuvqvxrwysxzqly\ paxoRwnGvmJsmMpmOmmRjlTglWelYbl`_kcXkeUkhSkjPjmMjo\ JjrGjtEZmLOgRCaY1Wc3Xe4Yf5Zg6_i7`j8ak9bmBcnCdoDeqE\ frFgsGhuHivIjwJgsJepJbmJ`jJZgJWdJUaKRYKPVKNSKKPKIM\ KFJKDGKBDJFHJILJMPJPTJTXJW`I_cIbgIfkIioImsIpwIszPn\ vWjrbfnibjpZgodbniYmoTmtPluSkvUkwWjxYiy_izafnVdbOb\ RH`FAUQJN`SGk`AvhGsbMpYSmTYjNcfIicDo`8la7i`6f`6c_5\ `_5Y_4Va4Sc3Re3Ug4Xi4_k4bm4eo4hq5ks5nu5qw5ty5wzNzz\ dzzuzzzzzzzzzzzzwvutrmomeehYWcQWeIWgASi7Ut7Zw7cu8h\ t9msArrBzqCzpDroEmmFclGUkHKjI9iJ8zK8gL7eQ7cV6aZ6_c\ 5Yh5Wl4Uq4Tu6Xq7_n8bj9egBhcCk`DnXEqUFtRTbbeLnr4yp9\ snEnlJikOdiS_gXVfaQdfLbkGaoBmm_xkxslwnmvimvdnu_otV\ otQpsLpsKqmJqhIrcHrZGsUFsPEtKDtFCuACu5Gv6Kw7Ox8Sy9\ Vz9ZzAbzBfzCizCmzDqzEuzFxzFuzDszCqzBozAmz9kz8hz7fz\ 6dz5bz4`z3Zz2Xz16z25z25z2 } 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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viewwindows=0/0/no/1024/1024 and batch mode.
by SherLok Merfy 30 Mar '04

30 Mar '04

That the above command works fine is a highlight for what Mister Osuch might want to leave alone in the code. The bug he might want to feed or cultivate in the code won't be very friendly if he tries to fix what works (which is always multiples of i, but that bug works fine). Finagle's Third Law: In any collection of data, the figure most obviously correct, beyond all need of checking, is the mistake. No mathematic reason is to prefer a power of two over the metric definition of _megapixel_ other than matters of convenience and maximal use of the screen. It's also slightly conservativ to accomodate the time for saving it. It's easy to work out that 512 by 512 is a quarter of that. I seem to hav learned too late that I prefer batch mode, but maybe that's because I would hav had to use my brain to come up with 600*525 as an even division of 2400*1575 (that's about the maximum that PSP will handle in truecolor (and this is not for lack of either RAM or virtual memory), so I want to check out The Gimp for Win32s). As to how I might encode the method, I'm not sure it's worth doing. In particular, if a specified dimension is larger than the screen and prime, then I am inevitably left with a window that is a remainder of dividing the specified dimension by the screen's maximum. The relevant calculations would be like y_multiples_output=width/800 . For the size of the bottom screen, I would take the remainder. For the size of the bottom screen in cartesian coordinates I would re-do the calculation, but y_multiples_input would be a float. In case you're missing my point, there should only be two output numbers from the viewwindows screen, and if you feel like trying to kill two birds with one of those stones in the soup, then you could connect that form to the batch creation code. If you felt adventurous, then you could re-write the batch-job creation code to write self-contained batch jobs, where the parameter files and formulas were embedded in a long echo to the console. (Heh. Heh. I should ensure that I can do this by hand, because I recently discovered that copying a concatenation of files to the console won't pipe through more under DOS. I *knew* that a purpose was for ^z in the middle of an ASCII file, but I doubt that I can echo a very long line through the pipe without an extra tool. Perhaps I can do the embedding with a dependency on the filename and formulas that read as comments to batch language). I would do it myself, but what I'm doing works, and English is much more fun than FORTRAN (although I am curious about what sqrt(0,2) is when, to the literal eye, this involves a division by zero), and I still feel like I'm leaving too many things hanging to be picking up a compiler that's probably more powerful than the Borland one that I seem to hav lost (and that probably won't compile for Linux without a major upgrade). _______ No faster way is to get things done than to always giv jobs to the person who looks too busy to handle them. They'll burn out, but it's better to burn out than fade away. Rise up...gather round... --Def Leppard

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Last call message
by Jim Muth 30 Mar '04

30 Mar '04

>Return-Path: <gumbycat(a)allisonart.com> >Reply-To: "gumbycat" <gumbycat(a)allisonart.com> >From: "gumbycat" <gumbycat(a)allisonart.com> >To: <jamth(a)mindspring.com> >References: <1.5.4.16.20040328093309.299fb970(a)pop.mindspring.com> >Subject: Last call message >Date: Mon, 29 Mar 2004 13:11:44 -0500 >X-MSMail-Priority: Normal >X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 > >Hi, Jim! > >I still can't post to Fractint - still not sure why. Would you please post >this for me? Thanks, Jim! > >Linda > >***************************** > >This is the last open call for you to submit your fractal artwork for >consideration for inclusion in the Fractal Universe ® Calendar 2006. > >All the information you will need is detailed on the following website: >http://www.fractalforum.com > >Please make your submissions and any additional enquires you may have via >the contact form on the above website. > >This message has been posted to some of the fractal art newsgroups, mailing >lists, and forums. If you think it may be of interest to others please feel >free to forward it, as it is written here, to other 'net sites where fractal >artists meet to share and discuss fractals. > >Thanks and good luck! > >Linda Allison and Tina Oloyede > > >

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FOTD 29-03-04 (The Infinite Mosaic [7])
by Jim Muth 29 Mar '04

29 Mar '04

FOTD -- March 29, 2004 (Rating 7) Fractal visionaries and enthusiasts: To produce today's fractal, I mixed together portions of Z^4 and Z^5 before adding C, and cooked them slowly over a low flame. The resulting dish took almost 1-1/2 hours to finish, but it was worth the wait. I named the finished product "The Infinite Mosaic". With its unusually intense colors, the image does have a kind of mosaic feel about it. And most fractals certainly are infinite. So the name seems justified. The render time is a puzzle. It is hard to say why an image with such routine parameters should take so long to calculate. >From its appearance, I would expect it to finish in something like 10 minutes. I can blame no one who decides to save an hour or so by downloading the completed image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I sent the image file to Paul separately, so it should be posted by the time you read this letter. The extraordinarily brilliant colors raise the rating from a 6 to a 7. But the unusually slow render time lowers the overall value to a humble 8.2. It's still an interesting image however, with its tight mosaic-like spirals and tiny midget hiding almost invisibly at the center. The clouds moved in on Sunday here at F.C., then they moved out, leaving warm sunshine and a temperature of 63F 17C, which was enough to keep the fractal cats happy. The weather experts' forecast for today is again cloudy, but I see lots of sun and blue sky out there. I expect the cats will find this acceptable. For me, the work is in the modicum range, which I should finish in plenty time to find the next FOTD fractal. Until tomorrow, take care, and become one with the fractal universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ TheInfinite_Mosaic { ; time=1:25:01.15--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+2.06994532777612900/+0.379001200947109\ 80/2.290883e+011/1/85.0010974549234959/-0.00072585\ 6327050203309 params=-0.15/4/0.045/5/0/0 float=y maxiter=14400 inside=0 periodicity=10 colors=000zztzzzzzzzzzzzzzzzzzbt_Cr70tA0wA0zC0zC0z\ F0z20zF0zS0ze0zr0wz2mzCbzKSzVKzbNz_NzXzzXzzVNzSNzS\ NzQNzQNzNNzKNzKNzINzINzFNzCNzCNwANr7No7Nm4Ng4Ne2Nb\ 0NX0NV0NS0KQ0KQ0KQ0IQ0IQ0IQ0FQ0FQ2FQ2CQ2CQ2CQ2AQ2A\ Q2AQ27Q47Q47Q44Q44Q44Q42Q42Q42Q70Q70Q70Q70Q70Q70Q7\ 0A20Q7XeCzrFoj7_b0KX02Q00I00C00F00F00I00I00I00K00K\ 40KA0NF0NK0NQ0QV2Q_4Qe7SjASoCStCVzFVzIVzKXzNXzQZzS\ _zV_zV_zQazNezKezIgzCgzAjt7jo4mg0m_0oS0oK0rC0t00r7\ 0rF0qN0pV0ob0oj0or0mw0mz0mz0mz0jz0jz0jz0ez0Zx0Yl0W\ j0Tl0Qm0Hp0Op2Nv4Kw7Ix7FyAAzC7wF4tI2oK0mN0gQ0eS0_V\ 0XZ0S`0Qb0Xe0bj0gm4mrArtFwzKzzQzzVzz_zzkzzozztzzwz\ zzzzzzzzzzuzzpzzizzbzzXzzSzwNztKzoFzjAzg4zb0zX0zV0\ zQ0zI0zN0zS0zV0w_2tb7ogFmjKgoSet__weXzmSzrQzzKzzJz\ zIzzKzwKztNzrNzoQzmQzjQzeSzbSz_VzXVzVVzSXzQXzK_zI_\ zF_zCbwAbw7ew4ew2ez0gz0gz0ez0bw0_t0Xo0Vj4Szo0zo0zr\ 0zt4ztCXwIezNmzVrz_zzgzzm } 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 28-03-04 (Back to Normal [7])
by Jim Muth 28 Mar '04

28 Mar '04

FOTD -- March 28, 2004 (Rating 7) Fractal visionaries and enthusiasts: A wise old man once said that order lies hidden in even the most chaotic disorder, and it is up to the individual seeker to find it. Today we dive through the confusion of the past several days and find the orderly fractal world we know and love so well. There at the center of the image, lies a familiar quadratic midget, surrounded by the pattern quadratic midgets are supposed to be surrounded with. The scene of today's image lies on one of the spiral filaments surrounding yesterday's sixth-order pseudo-midget. The sixth- order stuff as well as the cubic stuff in yesterday's image was all a sham. Those holes were no more sixth-order and cubic midgets than I am. They were simply some of those randomly shaped holes that appear so often in fractals created by combining several powers of Z. But it was a rather convincing illusion, and well worth the trip. Today's image rates a 7 and has an absolute value of 79. I named it "Back to Normal" because it reveals fractal meaning even where none was immediately apparent. Does this hidden meaning have anything to do with everyday life? probably not, but I would not be quite so quick to call the universe a random accident without a purpose other than what mankind gives it. The meaning of life will likely remain forever a mystery, but it is no mystery that the fastest and easiest way to see today's image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed GIF image file from there. Despite clouds and early morning rain, Saturday turned out reasonably pleasant here at Fractal Central. The dynamic duo of fractal cats agreed, and then spent several hours in the yard, enjoying the temperature of 68F 20C and watching birds. This morning is starting cooler, with clouds moving in again. We'll see how well the cats adjust. I have little to do for the rest of the day but read, watch TV, and search for fractals. If I want to finish these tasks, I had best get started. Until next FOTD, take care, and may the power of fractals be with you. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Back_to_Normal { ; time=0:08:54.86--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.52008286818602610/+0.000772311970516\ 58/3.828469e+010/1/-148.5/0.00431551213243278053 params=1/3/0.3553/4/0/0 float=y maxiter=1300 inside=0 periodicity=10 colors=000T_eTWbTR_SNXSIURERR9OR5LP4KO3KN3KM2KK1JJ\ 1JI0JH0JI5dJAzNExQHvTLuWOsZRraVpdYogamjdlmgjpkisng\ vqflpacoXVnTMzODvJ4sF5nE5lE6jD6hD7fC7dC8bC8`B9ZB9X\ AAVAAVAAV8DY9G_AJbAMcBOdCRfCUgDXiDZjEakFdmFgnGioGj\ pFkqFkrElrElsEmtDnuDnuCovCowCpxBqxBqyArzArzAmwDhtF\ drH_oKVmMRjOMhRHeTDcVNhXXmZfr`pwbntdlrekpfinghlhfi\ iegjcekacl`amZZnYXoWVpVTqTRrSPsLRtFSt8Uu2Vu4Uv6Tv7\ Tv9SvBRvCRvEQvGPvHPvJOvKOvJNwIMwHMwGLxFLxEKxDJyCJy\ BIyBIyDMzFQzHUzJYzK`zJ_wIZuHZrGYpFXmEXkDWiCVfBVdAU\ a9T_9TYGN7FQCESHDUMCWRBYVA__9ad8ci7emAekDeiGegIeeL\ edOebRe`TeZWeXZeWaeUceSfeQieOkeNgcJdaG`_CYZ9XY8XY7\ RK6RK6QK5QK4PK3PK3LKBMqIIzQEwXMrZUm`ahbicdqZfvVgtT\ `qRVmPPjNIfLCcJ6gH0jHAnHKrHUuH_rFbmDbhBabPaZS``T`d\ V_lW_sYOx`Dzc2wb3sa4q_5mZ6hX7`W8WV9STAOSBJQCFPDBOD\ EQEGREJSFLUFOVGQXGTZHV_HX`I_aIacJceJehKhkKinLjpLmp\ Tfo`bth_xpXtmVpkTliUhkUdh } 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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an application for Sierpinsky triangles :-)
by Michael Weitzel 28 Mar '04

28 Mar '04

Hi, I am working with binary "don't care"-expressions/-numbers. For example, the expression "11xx0" represents a sum of binary coordinates: 11xx0 = 11000 + 11010 + 11100 + 11110 "x" means "don't care if 0 or 1". for all expressions of length 3 ... a Sierpinsky triangle appears xxx = 000 + 001 + 010 + 011 + 100 + 101 + 110 + 111 xx1 = 001 + 011 + 101 + 111 x1x = 010 + 011 + 110 + 111 x11 = 011 + 111 1xx = 100 + 101 + 110 + 111 1x1 = 101 + 111 11x = 110 + 111 111 = 111 now, one reformulate this as a matrix multiplication with a coefficient matrix: |xxx| | 1 1 1 1 1 1 1 1 | |000| |xx1| | 0 1 0 1 0 1 0 1 | |001| |x1x| | 0 0 1 1 0 0 1 1 | |010| |x11| | 0 0 0 1 0 0 0 1 | |011| |1xx| = | 0 0 0 0 1 1 1 1 | * |100| |1x1| | 0 0 0 0 0 1 0 1 | |101| |11x| | 0 0 0 0 0 0 1 1 | |110| |111| | 0 0 0 0 0 0 0 1 | |111| The matrix can (as you probably know) be evaluating the recurrence: | M1(t) M1(t) | | M0(t) M0(t) | M1(t+1) = | | with M0(t+1) = | | | M0(t) M1(t) | | M0(t) M0(t) | for don't-care-expressions of length n this matrix consumes O(2^n*2^n) = O(4^n) units of memory. This memory can be saved if the matrix elements can be queried on the fly without constructing the matrix. So my idea ... * the don't-care expressions of length n xx...x to 11...1 are numbered with i=0,...,2^n-1 * the binary coordinates of length n 00...0 to 11...1 are numbered with j=0,...,2^n-1 to see, if a binary coordinate has to be added to the don't-care sum one has to compare both digit by digit: [1] if don't-care's digit is "x" the binary digit is allowed to have a '0' or '1' [2] if don't-care's digit is "1" the binary digit must be also "1" [3] if checks [1] and [2] pass for all digits of the binary coordinate, is must be added to the don't-care sum. checks [1] and [2] can be summarized in a truth table: dc bc | pass? dc = don't care, bc = binary coord. ------+------ x 0 | 1 (yes) x 1 | 1 (yes) 1 0 | 0 (no) 1 1 | 1 (yes) this means, checks [1] and [2] pass iff dc='x' or dc='1' and bc='1' (short: ~dc|dc&bc). The checks can also be applied to the indices i and j themselves if one thinks 'x' for the '0'-bits in i. The checks can be serialized if one uses C's binary operators: (~i|i&j). If the result consists of n '1'-bits, the matrix contains a '1' in element (i,j); a '0' otherwise. Because it's easier to check whether a number's value is zero and the boolean expression ~(~i|i&j) can be simplified to i&~j: M(i,j) == 1 <=> i&~j == 0 A small C-program that prints the Sierpinsky triangle: #include <stdio.h> int main() { int i,j; for (i=0; i<32; i++) { for (j=0; j<32; j++) putchar((i&~j)?' ':'#'); putchar('\n'); } return 0; } The triangle flips, if you play with the negation symbol "~" before i and j. I had the suspicion I wasn't the first who discovered this ... and indeed I found the formula in a book [[1]] on fractals - discovered by "E.E. Bloch" (1810-1893) - but without mentioning the justification/proof. So if you knew this formula and didn't know why this works ... ;-) [[1]] Peitgen, JÃŒrgens, Saupe: Bausteine des Chaos - Fraktale -- Michael Weitzel ... all work and no play makes Jack a dull boy ...

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FOTD 27-03-04 (Fractal Nonsense [5])
by Jim Muth 27 Mar '04

27 Mar '04

FOTD -- March 27, 2004 (Rating 5) Fractal visionaries and enthusiasts: No, there is no mistake. That actually is a Mandeloid midget of the 6th order displayed in today's image. And the generating formula combines nothing other than Z^3 and Z^4. If this isn't nonsense, I have never seen it. Actually, the nonsense is deeper than what is immediately apparent. Check that large midget toward the northeast corner of the screen, and you will find that it most definitely is of the cubic variety. To make matters even sillier, the midgets located in the nodes of the filaments radiating from the large midget have no established shape whatever. They appear to be randomly shaped. But there is hope. Throughout the image, the deeper we search, the closer the midgets come to the expected quadratic shape, until finally, at a magnitude of around 0.000000001, order is restored and the world has once again become one we feel comfortable in. I'll leave it to the math geniuses to figure exactly what is going on in today's image. If it were explained, I probably would not understand it anyway. So for now, I'll simply call the apparent higher-order midgets in today's image 'pseudo- midgets' and let it go at that. It is this kind of unexpected stuff that keeps my fascination with fractals as strong as it was on the day I discovered them, which as I recall was in 1985. It is the same kind of unexpected stuff that makes modern physics almost as fascinating to me. We live in an intuitive world of sequential time, and three- dimensional space filled with objects. We feel comfortable in our well-ordered world. But the gurus of science tell us that this familiar comfort is built on a foundation of sub-atomic things (if they are things) that exist in a world totally beyond our comprehension. We fill our physics books with pages of abstruse mathematics and announce that we understand it all. But do we? It sometimes seems to me as if the whole sub-atomic world with its carefully contrived math is a human invention. If this is so, then maybe the comfortable 'intuitive' world around us is also a human invention. But we'll not start down that road at this time. Once this journey is begun, there is no turning back, and there are an infinity of fractals right here yet to find. I named today's image "Fractal Nonsense" and rated it at an average 5. When adjusted for the render time of 32 seconds, the overall value comes in at a whopping 918. It will take about as long to prepare this letter to be run as a parameter file as it will to download the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A summer-like day here at Fractal Central on Friday, with warm sun and a temperature of 75F 24C, brought out what little kitten was left in the fractal cats. They actually romped in the yard, chasing each other about like they did so long ago when they were real kittens. When the end of the day came, they were exhausted and ready to settle down for a long rest. This morning is cloudy and light rain is falling. The cats will not have a repeat day. My task now is to do as little work as possible for the rest of the day. This will leave as much time as possible for a trip to fractal land. Unfortunately, with the warm weather comes yard work, so I might not find as much time for fractals as I would like. In any case, the next fractal will appear in 24 hours at this same spot. Until then, take care, and be sensible with nonsense. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Nonsense { ; time=0:00:32.68--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.52300582159624930/0/276.6252 params=1/3/0.3553/4/0/0 float=y maxiter=1000 inside=0 logmap=14 symmetry=xaxis periodicity=10 colors=000SRhNWm_Zek`ZwbSveQvgOvjMvlKiXLYIMM3MEJP6\ YRCYWHY_KKHDID7G91F6AEAIDDQCHZBKfAOn9Rv8UnDVgHV`LV\ UPVNUWGYW9aW2eWBc_KacHRoEHzDJtCKnBMhANb9PX9QSBVWD_\ ZFdbHieJniLslPnkTjkXfj`ajdYihUikQikEPk35QCL5L`GmoN\ lqTlrZksdktOUyJxXKvWLuWMtVNsVOrVT0zX2y`4yd6xg8xkAw\ oCwsEvvFvmNweVxXbxPjyGrz8zzBttDnoFmjHmeOmNKmTHmYEm\ cBmh`mkPmDOmOOgZNiiNksLmuJonIqgHs`GuUFwNEyHCzOAzV9\ z`LzXWzTgzPrzLpzGnzBmz7gzQazhXzzZz1XzPVzkNzWFzHDzG\ CzGBzG5zkvzHszLqzPozTmzXkz`izdgzhaziWzjQzkKzlEzm8z\ m7zj7zg6zd6za5zZ5zX8zVAzTCzREzPGzNIzLKzJrzPNz4TzBZ\ zHczNdzOdzPezQezRezSfzTfzUfzVezVezUdzUczTbzTazSazS\ `zR_zQZzQZzPYzPXzOWzOVzNVzNUzMTzMSzLSzLRzKQzKPzJPz\ JOzIOzIOzIgzYizXkzWCzOLzTTzY`zbizgqzlyzqqznjzkbzhW\ zeOzbHz_AzYNza_zelziyzlxzixzgxzexzcxzaxzZxzXxzVwzT\ wzRwzOwzMwzKwzIwzGwzEszDozClzChzBdzBazAYzAUz9Rz8Nz\ 8Jz7Gz7Cz69z6czUfzSazYXzb } 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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%$&* view-window
by SherLok Merfy 26 Mar '04

26 Mar '04

Does anybody else write these parameters directly? I was using Version 19.6 to write my parameter files, and I still do for multi-image batch renderings. 19.6 does the other rendering methods in disk-video, but it doesn't go up to 2400*1575 or yield maximal colours with outside=atan like more recent releases. So...I set the view parameters in 19.6 along with the batch parameters, then I move the parameter file and batch files to my new release's directory and change the reset value -- for outside=atan. For this kind of stuff, I usually use SF5 ,VESA Standard interface ,4f02, 100, 0, 0, 28, 640, 400,256,OK: Andy Fu - Chips&Tech mode, because it's close to 600*315 which equals 2400*1575 as a 4 by 5 batch file and the autodetect modes don't work for me any more. Maybe someone should check into external helpfile formats or aggregation with Lynx (the obvious format being HTML), because I got this from a 590+K documentation file that's probably a major reason why I can't shell out of FRACTINT to edit formulas and parameters anymore -- not without a mode change and Norton Editor 4.2, anyway: (...) Patch 10 Took out a sanity check in the VESA detection routines that certain graphics cards don't pass, but work fine anyway. This is probably the first version that would make a mess at the top of the screen on my Mach 64 with the autodetect modes, which I don't use in V.2003. Perhaps the result of the test should be displayed before you ask someone to ignore it. In my case, I uncommented the modes I wanted in FRACTINT.CFG and put them in place of the messy autodetect modes. I hope that's the only reason why FRACTINT doesn't like the defaults (F4) I get from the view-window form. (...) Added inside=fmod and inside=atan. The inside=atan option should only be used with periodicity=0. Now you tell me. I'm not sure why, though. Negative periodicities are better than inside=period when you get to set the threshold, too. As far as OUTside=atan, I wonder why it seems to require 255 iterations to get that many colours. (...) During an image save to disk, the 's' key is now ignored. While you're at it, you could ignore the mouse. And...it's hard to avoid noticing that the status screen is more informative than the disk-video screen -- which is where I learned that batch-mode doesn't want you doing anything but watching.

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