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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image came about when I subtracted 5 parts of Z2 from 3.35 parts of Z3 and added (1/C). Curiously, the 1/C did not turn the fractal inside out, but it did create a somewhat distorted Mandelbrot set rotated 180 degrees, with an extra stem fragment lying some distance beyond the main stem. Ignoring this extra fragment, I checked instead a spot off to the north side of the actual main stem. Not very deep inside this spot I found today's scene, which I have named "Pressing Minibrot". I gave it this name because the whole image looks as though it has been pressed against a pane of glass. The rating of a 6 might be seen as a bit liberal by some, but I did put a bit of extra effort into the image, which helps justify the rating. One good point that cannot be denied is the calculation speed of the image, which is 9 seconds on the P2000 and only 44 seconds on the P200. This is a bit faster than it would take to go to the FOTD web site at: Partly cloudy skies and a high temperature of 81F 27C made conditions pretty much ideal here at Fractal Central on Saturday. At least the fractal cats must have thought so, for they spent several hours looking out the window. My day was not too busy, but I suffered an attack of severe laziness. The next FOTD will appear in 24 hours. Until then, take care, and get in there with the big-time thinkers, whoever they are. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Pressing_Minibrot { ; time=0:00:09.66-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
center-mag=+0.46563561954888720/+0.015792627220296\
66/226192.6/1/63.75/7.78858089134359943e-011 float=y
params=-5/2/3.35/3/0/0/0/0 maxiter=255 outside=tdis
periodicity=10
colors=0003MsARkHVcOZWVbPafHhj9on2NaThkAahHVeO68G9\
DJCILEMNHRPJVRM_TCKIFPMIUPLZSQcBPcLmnmfkh`hcUeZzgX\
meW`dVQHHPLKPPMPTOOXRO`TCAmGKfKU`2KN7OPBSRGWSK_UfD\
CcHFaKHZOKXRMVUOSYRQ`TnEAeNHXWONJeONcOQaOU_OXYO`W1\
oq9kiHgaajAZhFWgJTeNQdRSnYQxyXp8VmDTjIRhMPeRsKGlOJ\
fSM_WPU_Su9SnGTgMU`SUUYVd_Ya`X_`XYaWWaWUbWSbVQcVzp\
JsmLmkNfiP`gRUeTbu__qZXmYUjXRfWdkr`imYghUfcRdZbn7_\
lBYjFVhJTfNQdRy43sA7nFBhKFcPJYUNTZRNEuOKoOPjOUdOZ_\
LO2MR7MTBNVFNYJO_NOaRTdpQVzP_jTe6SdBRdGQcLPcQLroMo\
kMmhNjdNhaOeYG8aID`JI_KMZLRYMVXN_W5a6CbFIcNM6QNISO\
TUw57kHF_TNTEORLQQRSPYUzK24qs8nnBljEjfIgbLeZslDhiJ\
YfPGleJiaMfYdtZaqY_oXXlXVjWSgWQeVZWlbO9`QCZSFXUIVW\
KTYNR_QPaTuKlnOhgSd`WaU_YXlrUijRfbylqqjlihgbfcVdZh\
09c8E_GIWONSWRAzHEtLHnOLhSQPzPStPUoPXjOZdOa_DRoGVi\
JYdM`_GFuIKoKPjLUdNZ_`POnBAiGEeLH`QLXVOS_SA6gDDdGK\
aJR_MYXF22HA8JIELPKNXQySE }
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.
