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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's fractal "The Way of an Eagle". Don't ask why I gave it this name, I have no idea. It's a rather poetic name however, which seems to fit the image quite well. The generating formula mixes Z^(1.5) with 10 parts of Z^(0.1). The parent fractal is a distorted Mandelbrot set that looks like it was calculated with an escape radius so small that part of the M-set is cut off. Today's scene is located on the southern shoreline of East Valley of this M-set. The curvilinear effect was achieved by rendering the scene with the outside set to 'tdis'. Most of the other outside options make fractals that are also attractive. I pondered the situation for several minutes before deciding to rate the image at a 7. Though I found the image in under 5 minutes, it is unique enough to earn such a rating. The 11-minute render time of the included parameter file is slightly slow, but the image is worth the effort. And it may be viewed even faster by going to the FOTD web site at: A cold wet day with a temperature of 41F 5C here at Fractal Central on Thursday spoiled most of the planned Thanksgiving Day outdoor activities. But the fractal cats do not celebrate Thanksgiving, nor do they take part in outdoor activities, so they had a rather pleasant day getting into mischief. Nicholas found a feather somewhere and played with it most of the afternoon. Cassie spent the afternoon curled by a radiator. My day was slow, but the fractals were fast. The next fractal will appear in 24 hours. Until then, take care, and you may already be a fractal winner. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Way_of_a_Eagle { ; time=0:11:09.76--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=-9.15122167716869900/-1.255451391879592\
00/1.055706e+012/0.9998/-30/0.0686725115329216429
params=1/1.5/10/0.1/0/0 maxiter=1400 periodicity=10
float=y outside=tdis mathtolerance=0.05/1
colors=000JgM_jGl09z0zzAyxOgr`Q0XClzYfXSjdJssddXzi\
dazzOzzJuuFvvDssCppA_oVcmPfmLjmFmzgmyQFrzQppaoVl`z\
mdzmgimjSyzVvzdszXrxPorIOJs0zpJyV0zjCvYVrMM0zXGudY\
YdIzgQziYjlfSayzdvzgsiK0S003MC6OP7QV90CA9IALOA00`I\
JT073AM6zz9vy6gu7ap90GgDSXXjLzogaia0zzp0zFO`F07pJ9\
z40uS6pzxozjov_mrMp0voCfmVQx6zrSf0zFMsCzI1zT4vc7Vz\
T_17fQ9x0z0fzM0xT3j`J_g_Mj0zl7vlMfm`QzA9xVAV0A`AAd\
OAi`Az1z09QAJMOTI`cDF7D0soArdOpV`oL00pFCaXVO0oz3mz\
Jmj_mSofSy0puGapYOG0QPCMYPIfaDOGO`YG_sTdpMioGI04Q9\
6YM7f`9Cgf0dYJiPalIvpAzs3lmMJgd0cv7x1Ju4Tr6`mDco97\
XSCCzYdzfi`vozsmlpmTJrTs0apJOm0FmADmVCoVCmdAIapM3g\
00zA4pOJa`_O00xSzz_zvfuYz0iuLSr_FofCmv0ms1mp660zSI\
fALiLS`V_SdfJgz`XQza_jgfSFLT3v0Js1_p600LLLF0zfYYza\
asffdjjPM0z`Of91PzrmS6zYIscSdicPzx0sr69pzjzzlvymr_\
dy3is7Q7z_Mlf`Tz0z0aGPgD0oQ0163F7JQ9_aAXffdjQsrGpp\
DooCSgAcjA100IC3YV70a_4dS }
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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times.
