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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is kind of an oxymoron -- a quadratic minibrot surrounded by a pattern expected only in fractals of a much higher order. Well, the higher order part of the image should not be much of a surprise when the generating expression subtracts Z13 from Z12, then adds C. The quadratic part is simply the shape of most minibrots in the critical parts of most fractals generated by the MandAutoCritInZ formula. The parent fractal is basically an everyday 12-lobed higher-order Mandeloid with a little more fractal debris scattered close around the perimeter than would normally be expected. Today's image is located close to the negative X-axis, in some of this debris. I named the image "Up High--Down Low". I have forgotten why I chose such an unlikely name, but it sounds just unusual enough to be a name for a FOTD. The rating of a 6 means that the image, with its well-defined patches of strong color, is just a little above the FOTD long-term average. The calculation time of 1-1/2 minutes is true on the fast machine. On the slow unit the calculation would take around 10 minutes to finish. But why worry about running parameter files when the completed image is posted on the FOTD web site at: Near perfect weather prevailed all day Monday here at Fractal Central. A bit of river fog in the early morning cleared out by 9am, leading to a day with brilliant warm sun and a temperature of 68F 20C. Good behavior prevailed among the fractal cats, who are fast becoming the official watch cats of F.C. My day was routine, which means busy enough to prevent recession concerns. The next FOTD will appear in 24 hours. Until then, take care, and are fractals good, evil, neither or both? Or is the question meaningless? And if the question *is* meaningless when applied to fractals, what about when it is applied to the events of the 'real' world? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Up_High--Down_Low { ; time=0:01:35.18-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident inside=0
center-mag=-1.006625002317998/+0.00827883211913072\
/3.746549e+012/1/-54.9/0 params=-1/13/1/12/0/0/0/0
logmap=335 maxiter=1850 logmap=335 periodicity=10
float=y mathtolerance=0.05/1
colors=000ASfFTiNUkUVm`SoXTfTQZPMRLIJ04Bs03m0KzZ9z\
uIUzzDFFMCKUAPa8Ui5Zq3czPrwUmuUrsZvqczohzkmzgrzivz\
lzzqzzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzKUaUPPcLDmH1lO\
2lV3la3lh4lo4fgB``IWUPQMWLFbF8iA1oL2qW2rf2sp2tkKjf\
``bqRdjUfcWhXYiQ_kJamCcn6eeGYXPQPYJoZopYjpXfqWbqVZ\
qVVlohgr`buTYxLTzDIFeOLcTRaYX`bbZghYlnWqtVirZbpaWn\
ePmhRngTogVpfXpf`ihcbigXjjQknJlqDm5B2FO7P_BZkFgcl`\
YzmUpwUfuRArK9mN8hJ7cE5Z84U33P02K59FCFAJMIPSOPNTOJ\
ZOFcNBiM7nM3lP8jSDhVHgYMe`QccVbeZebXh`VjYUmWSpTQrR\
PuONwMMoMLhMLaMLUMKNMKGMK9MK8OM8QO7SP7UR6WS6YU6_VF\
_aO_gX_me_sn_yFP5PMGYJRfGaoDlxAvtGmpLdlRWhWNe`EaWL\
YSSUOZQJeMFTJBZNE_RGjVIkZKlrMwwOxwQywSysfkOa6L_7JZ\
8GX9EW9KUKQSVWQeaOp`Nk`Mf_La_KXYQ_XWbWaeUchTekSgnP\
ilNkjLmh9o4DqAHsFLuKPwQTyVWz__zVczQhzLmzGrzKvzOzzS\
zzWzz_zzczzgzzizzkzzmzzozzqzzszzuzzozzjzzdzz_zzVzz\
PzzKzzFzzQzz_zzjzztzzCGJA }
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=========================================
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times.
