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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image was created by subtracting Z^(1.1) from Z^(-1.1) and adding (1/C). The parent fractal is little more than a scattering of fractal debris with many small distorted Mandelbrot sets lying in the debris. Today's scene is located near the tip of an archipelago of debris extending from one of the buds of one of the larger M-sets. I named the image "Hither and Yonder", though I have no idea why I chose such a name. The rating of a 6 seems about right for the image, which IMO is somewhat better than the FOTD average. In the image I tried to give the effect of a Minibrot standing out alone in an otherwise empty universe. The rating of a 6 shows how satisfied I am with my success. The near-effortless calculation time of 48 seconds can be bettered only by going to the FOTD web site at: With an absolutely cloudless sky and a temperature of 79F 26C, the weather was perfect here at Fractal Central on Sunday. I took advantage of the optimum conditions by spending the day in recovery from the day out on Saturday. The fractal cats spent the day helping me recover. The next in the apparently endless line of FOTD fractals will appear in 24 hours. Until then, take care, and remember to feed your fractals enough iterations to keep them healthy. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Hither_and_Yonder { ; time=0:00:48.55-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.116881071509402/-0.4370579950961422/\
1.584087e+008/1/134.25/-5.55357036247e-005 inside=0
params=-1/1.1/1/-1.1/0/0/0/0 float=y periodicity=10
maxiter=700 logmap=99 mathtolerance=0.05/1
colors=00000F00HAK0zmJroQ0J40L60N75P8AR9FUBKWCUYDZ\
_EbaFfdIjcLlbOmaRk`UndZricvnhzsmzxrzzvzzzzzzfAAjFF\
nPPrQPuUUoTUoSUoSUoRUoRUzczzczzczzczuczzczzczzPYzR\
JzS5zU8zWBzYEQ_HHaK`dIsgGziEzhIzhMwhQshUngYigadge`\
giWSLbaJhjHosFuzEszIpzMnzPkyTixXfw`dwcevafu`ftZgtY\
hsXhrViqUjqSjpRkoQlnOlnNmmLnlKnlJkmIhmHemGbmF_mFXm\
EUnDRnCOnCLnBInAFn9Cn9EkCFhEGfHHcJJaMKZOLXQMUTNRVP\
PYQM_RKbSHdTFfVIcWKaXM_YOYZQV_ST`URaWPcZMd`KebIfdG\
gfDhhBij9jl7ki8lg8ld8mb8m_8nY8nV9oT9oQ9pO9pL9qJ9qH\
9zGSxJRyMRzPRzRRzURzXRz_RzaRzdQzgQzjQzlQzoQzrQzuQz\
wQzQQzTSzVUzYWz_YzbZzd`zgbzidzlfzngzqizskzvmzxnzyk\
zzizzgzzezzczzazzZzzXzzVzzTzzRzzPzzNzzOzzOzzOzzOzz\
OzzOzzOzzPzzPzzPzzPzzPzzPzzPzzQzzRzzSzzTzzUzzWzzXz\
zYzzZzz_zz`zzazzbzzczzdzzczzczzbzzbzzazzazzazz`zz`\
zz_zz_zz_zzZzzZzzYzzYzzXzzQzzXzzXzzWzzWzzVzzVzzVzz\
UzzUzzTzzTzzSzzSzzSzzRzzR }
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.
