FOTD 28-03-07 (FOTD for March 28, 2007 [No Rating])
FOTD -- March 29, 2007 (No Rating) Fractal visionaries and enthusiasts: The formula behind today's image combines 5 negative parts of Z^(-1.1) with 0.1 negative part of Z^(-11.1) and adds (1/C), resulting in an oversized parent fractal consisting of 4 large bays and a very prominent 'fan', the whole thing surrounded by cut-off rings of various shapes and sizes. Today's image lies in a field of debris just east of the 'fan'. I gave the image no name or rating. Due to the winding-down but still pressing rush, I gave the image too little time and effort to honor it with a name. I might have rated it at a 4 or 5, but decided to let it go un-rated. The calculation time of 3-1/2 minutes means that little time will have been wasted if the image disappoints. And almost no time will have been wasted if the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In a few days I will discuss the use of the MandelbrotMix4 formula, paying special attention to the method I use to find good parameters to enter into it. But to begin the discussion right now, I might re-phrase the question into something like, "how do I recognize a good parent fractal when I see one?" A cooler but still mild day with a temperature of 59F 15C here at Fractal Central on Wednesday went un-appreciated by the fractal cats. They were more interested in watching the local squirrels make more squirrels. In my department the work is almost back to the normal amount. One or two more days should just about do it. The next FOTD will appear in 24 hours. Until then, take care, and be of sound mind and body, but don't make too much noise while you're doing it. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FOTD_for_Mar_29_07 { ; time=0:03:32.45--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+7.81582291647887900/+0.263607712474751\ 30/249.6664/1/25/1.13533467349657968e-010 params=-5/-1.1/-0.1/-11.1/0/0 float=y maxiter=750 inside=0 logmap=49 periodicity=10 colors=000WLuZJv`GyZIxYJxWLxVMxTNxSPxQQxPSxNTxMUxK\ VxJXxIUxHVuGUrFQoERlDMiCJfBHdAFa9CZ8AW78T65Q03N01L\ 04IA6FA8CIA9SC6WE3_G1cL4hP7mT9rXCv`EzeHziKzmMzqPzu\ RztUztczzmzzzzzzzzmztcztUvtTqjPlaLgTIbKEZBBRI8JP6B\ W44z25z66zA7zE8zH8zL9zPAzSBvWCr_CmbDhcEccFZdFUdGPd\ HKeIFeIAfJ8fK9fL9gLAgMAhNBhNBhMCeMDbME`LEYLFVLGTKH\ QKHNzzLJJIzzFJKDzzAIM7zz5vz9rzCmzFhzIczLZzOHjRKfWM\ b_OZcRVgTRkVNoXJsVNqURpTUoSYmRalQdkPbjPajP`iP_iPZh\ PYhPXhPWgPVgPUfPTfPSePRePQeELwDMtDMqDNnDNkDOhDOeCP\ bCP_CQXCQUCRRCROCRLDSODSRETUETXFU_FUbGVeGVhHWkHWnJ\ XmLXmMXlOYlPYkRYkTZjUZjWZiX_iZ_h__ha`db`ac`YeaVfaR\ gaOhaLgeHghDPVV6Hl7Km8Nn9QoATpAWpBZqCarDdsEgtEjtFm\ uGpvHswHuwKvxNwyPxzSyzVzzXzz_zzbzzdzzgzzizzjzzjzzj\ zzjzzkzzkzzkzzkzzkzzhzzfzzczzazzZzzXzzUzzSzzPzzNzz\ LzzJzzHzzFzzDzzBzz9zz7zz5zz4zz9zzDzzHzzLzzPzzIzzGz\ zEzzCzzFzzIzzLzzOzzQzzTzz } 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=========================================
Suspended2 { ; from_FOTD_March_28_07 ; Fractint Version 2099 Patchlevel 8 ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=doug.par formulaname=mandelbrotmix4 function=ident center-mag=+0.30610643888517391/-2.47429910862084320/1.457661e+010/1.152\ 2/-79.168801967202242/14.010681955137755 params=1/-2/6/-1/0/0 float=y maxiter=1600 inside=maxiter outside=summ periodicity=10 sound=off colors=0000z0TPD<3>MDIKAJMAKOAM<3>_LKbOJeQJ<3>qaHtdGwfGziF<4>jWEgUEdRD<3\
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I probably qualify as a deep zoom addict but I haven't gone past a magnification of 1 to the 128th yet. However there can be some very nice pictures that appear along the way. BPZo is an example I really like. BPZo meaning BlackPearl Zoom out. In the past I have been puzzled by some of Jim MUth's examples. When zooming out there may be big stretches where I can see absolutely no reason to zoom in where he did. Thanks to Ton Koppens and Lee Skinner I now have formulas to match all the parameter files that I now have. During my organizing I ran across Julia1 that I thought was an interesting plain Julia with fancy coloring. In the process I ran the evolver on it to see what happened and got a completely unexpected result. Juliaev1 after applying it once and Juliaev2 after the second application. They meet the self similar test completely. Magnifying an area on the edge of Juliaev1 it appears identical as far as I went. I quit after four maximum zooms into the arbitrary precision range. The calculating slows down radically and what reason is there to go any further if there is nothing new? There is a Julia set in the neighborhood of this one that is an almost exact replica of the Playboy rabbit. And this one really multiplies like rabbits are supposed to. I'll post it when I find it. One more note. It seems that there is always something new to learn about Fractint. The description of F6 on the Z screen says it switches to corner parameters. That's the last thing I want to do so I never even considered looking at it. Charles julia1 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia center-mag=-1.5e-007/-2.5e-008/0.6666667 params=0.26/0.55 inside=bof61 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\
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juliaev2 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia passes=1 center-mag=-1.5e-007/-2.5e-008/0.9861933 params=-0.8591238135929441/-0.05492782372508923 float=y maxiter=2047 inside=fmod outside=0 colors=000000<24>mGOoGPqHQ<3>zKU<25>C46A45834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 } juliaev1 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia center-mag=-1.5e-007/-2.5e-008/0.9861933 params=-0.1164558854945524/0.01938474684896393 float=y maxiter=511 inside=fmod outside=0 colors=000000<24>mGOoGPqHQ<3>zKU<25>C46A45834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 } BPZo { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulaname=mandelbrotmix4 function=ident passes=1 center-mag=+0.30598232092337500/-2.47436852042129000/135634.9/0.9299/-16\ 2.852356708459325/0.732210256330880105 params=1/-2/6/-1/0/0 float=y maxiter=16000 inside=maxiter outside=summ periodicity=10 colors=000VSC<3>OGHMDIKAJMAKOAM000UGLXIL_LK<3>kWInZIqaH<2>ziF<4>jWEgUEdR\ D<3>TGDQEDNBCK8C413000<3>EFAIIDLLG<4>ccWgfZkja<3>zyn<9>e`UcZSaWQ<3>UMH00\ 000000053M<4>5Dc5Ff5Hj<3>5Px<3>5hc5mZ5rU5wP<4>5Zm5Ur5Px<3>5Ed5B`58W56R53\ M000000000b`c<4>lornru<9>YWPWUMVRI<3>OI5<3>YRD`TFbWH<3>kcPneRpgT<3>zpa<4\
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participants (3)
-
Charles Crocker -
Doug Stewart -
Jim Muth