|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: The expression behind today's image takes Z^(-1.1) and subtracts 0.88 parts of Z^(+1.1) from it before adding (1/C). I will not try to describe the resulting parent fractal, which is filled with indescribable almost-Mandeloid things, but I can at least say with certainty that today's scene is located in a debris field of the parent, and that this debris is organizing itself into a field of loose spirals. Unable to decide whether to rate the image at an 8 or a 9, I finally decided to split the difference and rate it at an 8-1/2, which, considering the accidental 3-dimensional effect, seems reasonable. Much less reasonable is the name I gave the image, "Ancient Attributes". I have totally forgotten why I chose such a name, but in a way the name is appropriate. After all, the midget at the center of today's image has been waiting to be stumbled upon since before the 'big bang' opened the universe. The calculation time of under 2 minutes on the 2000mhz fireball is reasonably reasonable. On the slow P200mhz machine, which served as the FOTD fractal generator for almost 8 years, the image would finish in around 10 minutes. But visiting the FOTD web site at: When the autumn temperature reached 88F 31C on Tuesday here at Fractal Central, the weather became a little too perfect. The fractal cats, who are most active in the evenings, slept through most of the un-autumnish heat, not coming to life until the sun was low and it was time for their evening treats. I enjoyed a slow relaxing day, something that is a rarity around F.C. The next FOTD will appear in 24 hours. Until then, take care, and the Mandelbrot set certainly has a true shape, but does it have a true size? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Ancient_Attributes { ; time=0:01:52.04-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.359501241348669/-0.458041352586948/1\
396462/1/-112.5/-1.56219443846195016e-007 inside=0
params=-0.88/1.1/1/-1.1/0/0/0/0 float=y logmap=168
maxiter=1650 periodicity=10
colors=00030E40F66G70H97IA1JC9KD4LFAMG6NICOJ7PLDQM\
9ROFSP9SQFQS9QTAPV7PX4OY1O_0M`0Ma0Mc0Od0Pf0Qg0Qi1S\
j3Ti4Tg6Vf7Xd9XcAYaC_`D`_F`YGaVIcTJcSLdQMfPOfOPgMQ\
iLSjJTjIVlGXmFYmD_oC`pAapFcoJdoMfoQgoTimYim`jmdlmg\
mmlolpplsplxrlzsjzujzvjzsjzojzigzddy`asY_mTYiPVcSS\
YJPTGMOFLI4ID9F60C009007006006004104403903C01G01J0\
0L00O00P00S00T00X00_00`00c00d00g00i00l00o00p00s00u\
00x00y00z00z10z30z40z60z70z70z90zA0zC0zD1zF3zF4zG6\
zI7zJ9zLAzMAzOCzODzPFzQGzSIzTJzVLzVLzTJgrcjpalp`mo\
_poYrmXsmVvmTxlSylQzjPzjOzjOzjPzlQzlQzlSzlTzmVzmXz\
mXzoYzo`zogzoozpvzpzzpzzpzzrzzrzzrzzszzszzszzszzuz\
zuzzuzzuzzvzvvvsvoovglv`gvTcoM`gDXg7Tg3Pg0Mg0Og0Qo\
0Tv0Xz1_z3az4dz7gz9jzAmzDpzFszGvzJyzLzzMzzPzzQzzSz\
zVzzXzzYzz`zzazzczzdzzYzzQzzJzzCzz4zz0zz0zz0zz0zz4\
zz7zzFzzMzzTzz`zzgzzmzzozzozzpzzpzzrzzrzzszzszzszz\
uzzuzzvzzvzzxzzazzazzazza }
frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================
|
times.
