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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Believe it or not, today's image is a view of the chaos along the shoreline of what remains of Seahorse Valley of the Z^(2.01,0.03)+C Mandeloid. For some reason known only to the higher authority, the buds have choked off and changed into distorted quadratic midgets, while curious new open areas have appeared, in the form of round holes connected by tooth-like spirals to infinity. I have named the image "Scene of Discovery". After all, it is at least a minor discovery. The two circular areas in the left half of the image, along with the tooth-spiral connecting them, form one of the more unusual hole complexes I have found in the world of fractals. Even with the maxiter of 15000, the edge of the valley, on the upper right, is not fully defined. But the render time of 48 minutes is already unreasonably long, so I decided to be satisfied with less than full definition. Since I can see nothing really above average in the artistic aspect of the image, I have rated it at a 5. The slow render time reduces the overall value to an unexceptional 10. Considering all this, the best way to view the scene is to let Paul render it and post it to the FOTD web site at: Clouds, cool temperatures in the 60'sF (around 18C), and occasional light rain kept the fractal cats indoors and the cicadas quiet here at Fractal Central on Monday. The cats cheered up in the evening when they had their treat of tuna; the cicadas cheered up this morning when they saw the sun and warmer temperatures. I'll cheer up when the latest pile of work is behind me. Until next FOTD, take care, and don't be too busy to enjoy the fractal side of life. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Scene_of_Discovery { ; time=0:48:19.02--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1 logmap=24
center-mag=-0.7088779767/-0.2550825285/255.7718/1/\
25/-2.66779653923521209e-013 params=2.01/0.03/0/0
float=y maxiter=15000 inside=0 periodicity=10
colors=000QYUSYUTZUUZTW_TX_SY`S_`S`aRaaRcbQdbQebQg\
cPhcPidOkdOleOmeNofNpfMqgMsgMthLuhLvhMvhLsfKpdKmbJ\
m`ImZImXHmVHmSGmQFmOFmMEmKDmIDmGCmBDmECmHCmKBmNBmQ\
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ElaElaFlaFlaFmaGmaGmaGmaHmaHnbHnbHnbInbIobIobJobJo\
bJobJnaMn`Om_Qm_SlZVlYXkYZkX`jWbjVeiVgiUihTkhTmeWk\
bYi`_gYaeWddTfbRh`OjZLlXJoWGqUEsSBuQ9wPEuNJsMNqLSo\
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czf_zeWzdSzcOzcGzbIzbKzaLzaNz`Oz`Qz_Rz_TzZVzZWzYYz\
YZzX`zXazWczWezVfzVhzUizUkzFpzNnzUlz`jzghznfzlgzkg\
zjgzigzhhzghzfhzehzdizciz }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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