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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: BUG ALERT!! Well, it's not actually a bug, but before getting into my regular discussion, I must point out that today's parameter file requires special attention before it will draw the correct image. To see today's image correctly, run the parameter file as it is, but when the image is finished, do one maximum in-zoom into the center. You will then be viewing the correct image. This extra step is necessary because the extreme magnitude of the full-sized image causes strange and unpredictable inaccuracies when the parameter file is directly written from it. The very simple formula -1*(Z^(1.1))+Z^(-0.7)+(1/C) drew the parent fractal, which consists of a large Mandeloid with a smaller satellite nearby. Today's scene lies way out at the tip of the negative tail of the large Mandeloid. Actually, it's not really a negative tail, but only the center filament attached to a period-2 bud. Though the magnitude of the image is extreme, the maxiter is a remarkably modest 256, making the logmap feature meaningless. The small maxiter also makes the parameter file a very fast one, which is a good thing, considering that two steps are necessary to draw the correct image. The name "Internet Spy Program" came about when I noticed the many eye-like features surrounding the midget. I had just deleted 4 e-mails that wanted me to buy those learn-anything-about-anyone internet 'spy' programs. I rated the image a 6 because that's what I think it's worth. Running the parameter file and zooming into the resulting image may be the best way of viewing today's finished product. The image will also soon be available at: The fractal weather today was the normal summer fare for this part of the world. The hot sun and 90F 32C degree temperature had the fractal cats lazy but happy all day. And it's time for me to get on with other projects, such as watching TV. I'm sorry about the inconvenience of the 2-step parameter file, but it's one of those freaky things that will probably never again be necessary. Until tomorrow, take care, and I wouldn't be surprised if the universe proved to be composed of fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
InternetSpyProgram { ; time=0:01:30.30--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.02429494176869804/-0.118024956696030\
00/6.248276e+011/1/32.522/-0.001 params=-1/1.1/1\
/-0.7/0/800 float=y maxiter=256 inside=0
periodicity=10 mathtolerance=/1
colors=000IkhIrmIxq4UX2Sd1Ql0PtCZcOhO_q8cmDgjIjgNn\
cSr`XuY`gkbUxdSudRsdPpdOndMkdLidJfdIddKaeL_fMYgNIZ\
OJePPiQXi`NVkDGv42wVAzwInlOfdTYUYQZbHcg9hlNmMOmKPm\
JQmIMmLJmOGmQDmTAmW7mYBmVEmTImRLmPPmNSmLVmJbmLjmNr\
pPLwRFuM9sH3oDFoGKpJKqMKrRMsWOt_Qu`SvaUwaWxbYyb_zc\
azcczSezNgzIizDkz8mzIozSqzaszkuztwzkyzbzzVzzMzzDzz\
5zzZzzazzdzzgzzjzzlzzizzfzzczz`zzYzzVzzZzzbzzfzzjz\
znzzszzxzzpzzhzzazzUzzNzzFzz8zzDzzIzzNzzSzzWzzXzzX\
zzXzzYzzYzzYzzazzezzhzzlzzpzzszzwzzzzzxzzwzzuzztzz\
szzqzzpzzozzrzztzzwzzyzzuzzqzznzzjzzfzzczzfzzhzzjz\
zmzzozzqzzrzzszzszztzzuzzuzzszzqzzozzmzzkzzizzgzze\
zzvzzdzzOzzUzzZzzczzhzzmzzrzzwzzMzzMzzMzzLzzLzzZzz\
UzzOzzJzzXzzizzvzzhzzVzzHzzFzzEzzDzzCzzBzzAzzIzzQz\
zXzzczzjzzqzzbzzOzzAzzBzzBzzCzzCzzCzzDzzDzzDzzJzzP\
zzUzz_zzdzzjzzozzJzzOzzTzzYzzazzWzzQzzKzzEzz9zzBzz\
CzzEzzFzzGzzLzzQzzVzzZzzc
}
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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