Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To add a bit of variety to today's adventure, I changed the portions of Z in the parent fractal that I have been exploring for a week. Instead of positive portions, we now have negative portions. This change creates an even more interesting fractal. Yesterday's image turned out so well that I tried the same partial-evaporation trick again today. I rendered the scene with the inside set to 'bof61' and the outside set to 'tdis'. The resulting image rates another 9. I found today's scene in a part of the parent fractal shaped like a fan. There are many more unusual features in this new parent fractal, which I will be exploring for a few more days before moving on to something entirely new. Much of the purpose of fractals is simply amusement. This is the reason I named today's image "Iterative Amusement". The relatively fast render time of 3-1/2 minutes makes the image that much more amusing. The image may be seen in even less time by downloading it from the FOTD web site at: It rained all day Monday here at Fractal Central, keeping the fractal cats safely confined to their indoor shelf by the window. They had one thrilling moment when a squirrel carelessly climbed onto the ledge outside the glass, and they both sprang to the attack. When the squirrel saw two cats eyeing him, he took off like a bat out of you-know-where. Today is starting cloudy, but it is milder, and promises to be far more pleasant, both for the squirrel and the dynamic duo. For me, it will be a satisfactory day if I end it with no work piled up. The philosophy is still a couple days off, but the next FOTD will appear in 24 hours. Until then, take care, and think kindly of your amusing fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
IterativeAmusement { ; time=0:03:25.05--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.00805949912494/+1.2384635446208/1621\
5.65/1/165/2.53985141251966695e-009 maxiter=1000
float=y params=-5/-1.26/-0.5/-12.6/0/1000000000
inside=bof61 outside=tdis periodicity=10
colors=000t4gr5fp5dn6cl7aj8`i8Zg9XeAWcBUaBT_CRYDQW\
EOVENTKXRQeQVnPUkPTiOTfOSdORbNR_NQYNPWMPTMORMOPLMN\
KKLJIJIHIHFGGDEGCDFABE89D78C56B34B23C54D74E94GC4GE\
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H`UIaTJbRJcQNaUQ`YT_aXZe_XhbWlfVpiUtlTwkUxjVxiWxhX\
xgYxfYxeZxd_xc`xbaxabx`bx_cxZdxYexXfxWgxVgxUhxTixS\
jxRkxQlxQlxThwWdwZ`waYwdUwfQviMvlJvoFvrBvt8vsBtrEs\
qHrpKqpNpoQonTnmWmlZll`kkcjjfiiihhlghofgrefudexcez\
bcxaawa`uaZtaYr`Wq`Vo`Tn`Rl_Qk_Oi_Nh_LfZKeZIcZHbZI\
aYJaXKaWLaVMaUN`TO`SP`RQ`QR`PS`OT_NU_MV_LW_KX_JYZI\
ZZH_ZG`ZFaZEbZE__HY`KWaNTbQRcTPkzNlwKlyImzGmzEnxBn\
w9nv7mu5lt8krAjqDioFhnHglKfkMeiPdhRcfTbeWacY`b__a`\
ZZ`YX`YV`_T``Q`bO`cM`eK`gH`hF`jD`kB`m8`n6`p4`q2dp5\
go8joBnnDqnGtmJwmLukMtjMsiMrhMpgMofNneNmdNkcNjbNi`\
Oh_OfZOeYOdXOr2hu2jx2kv3i }
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.