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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Well, I didn't find a 9-rated fractal. I didn't even find one that rates an 8. But I did find a fractal that is worth a 7, and this is two points above the 5 we've been stuck with for the past several days. The iterated formula subtracts some Z^(-1.1) from Z^(1.2) before adding (1/C), and catches the parent fractal when it is on the verge of turning inside-out. With its broad textured cross and textured intricacies, today's fractal is well worth the 3 minutes required to render it from the parameter file. The name I gave it, "Aleph Null", is the name of the transfinite number that represents the least infinite of the infinity of infinities. I gave the image this name for no apparent reason. In addition to running the parameter file, the image may be seen by downloading it from the W.W.W. at: The fractal weather today was variably cloudy with a temperature of 64F 18C. The cats found the porch warm enough during the sunny periods, but retreated indoors when heavy clouds obscured the sun and a chilly breeze sprang up. I'll take a day or two break in my philosophical musings, but I've still got enough ideas backed up to keep me going for years. So stay tuned to the Philofractal list for wisdom unlimited delivered in a moderately humble manner. That's it for today. Until next time, take care, and stay smart. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Aleph_Null { ; time=0:03:35.03--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+9.53758757820609500/+11.15144884977357\
000/1195.65/1/47.499 params=1/1.2/-0.8/-1.1/-0.07/0
float=y maxiter=1000 inside=0
logmap=58 periodicity=20
colors=000CKoCMtDKqEJnEHkFGhGFeGDbHC`HAYI9VJ8SJ6PK\
5MK4KMAMOFNQKPSPQUURWZTYcU_hVamXcrYewZeyLez8gvAhrB\
jnDkjElfGnbHoZJpVKkSGfPCaM9XJ5TH2WL9YOF_SLaVRcZYea\
cgeiihogdnfandZncWnaTm`Qm_NmYJmXGmVDlUAlS7lR4lQ1l`\
5mj9nhDofHpeLpcPqaTq`XrZ`rYdsWhsUltTptRtuQxuRwpSwl\
SwhTwdTv_UvWUvSVvOVuJWuFWuBXu7Xu3Wv4Vv5Uv6Tw7Sw8Sw\
9RxAQxBPxCOyDNyENyFSzGWzH`zHdzIizJmzJmwGmuHzsIzqJz\
oJzmKzmLzmMzmMzmPzmRwmUrmWmmYhm`cmbZmdUmgReiShlTjn\
TmpUpsVsuVuwTttStqQtoPtlOtiMsgLsdJsaIs_HsXFrUErSCr\
PBrMArKGpMMnORlQXjSaiTbjWckZdk`elcflfgmhhmkinmjnpk\
osloumpxnpzgqr`qjUqbNrWGrO9rG2r97pABnBFlCJjDNiDRgE\
VeFZcGbaHf`HcaJabL_cNYcPWdRUeTSeUZUqcZkgbekf_pjUtn\
OxrIpsPbsVet`htgkumnvsqwmtxgwybzzXzzSzzMzzHzzBzz6z\
zAzzEzzIzzLzzPzzTzzWzz_zzczzfzzjzznzzqzzhzz_zzSzzT\
zzTzzUzzUzzVzzVzzWzzWzzXzzXzzYzzYzzZzzZzz_zz_zzZzz\
ZzzYzzYzzLzzMzzSzzYzzczzi
}
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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