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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 0.4 part of Z^(2.25) from 0.8 part of Z^(-1.25) and added C to create a parent fractal that consists of two main Mandeloids, the southern one far out of proportion, the northern one looking like a moth-eaten sweater. Avoiding these obvious features, today's scene is located in a trail of debris that stretches between the Mandeloids. I was undecided whether to rate today's image at a 6 or a 7, so I split the difference and rated it a 6-1/2. The name "Lake Disappointment" came about when I failed to reveal all the potential I thought the fractal had in it. I think there are actually several lakes of this name around the world, though at the moment, I cannot say where they are located. The calculation time of 1-1/2 minutes on the P2000 would stretch to 8 minutes on the old worn-out P200. But the fastest and most convenient way of viewing the scene in this technologically advanced electronic age is to go on-line to the FOTD web page at: Another superb day graced Fractal Central on Sunday. Full sun, light winds and a temperature of 82F 28C can hardly be bettered for outdoor summer activities. I had my weekend's share of activity on Saturday however, so I took it easy all day Sunday, while the cats kept a sharp eye on us to be sure we would not leave them alone again all day. If things continue as planned, the next FOTD will appear in 24 hours. Until then, take care, and where does the light that illuminates the objects in our dreams come from? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
LakeDisappointment { ; time=0:01:30.30-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.45779742812842340/-0.861568641122261\
90/6.926184e+010/1/122.5/0 params=0.8/-1.25/-0.4/\
2.25/0/0/0/0 maxiter=1450 logmap=165 periodicity=10
float=y inside=0
colors=000B8QGAUMCYREaXGeaIifJmgMnhOniRojTokVolYpm\
_pnbqodqpfqqkrnorrrswwwzzzzzzuuummmcccWWWWWWWWWWWW\
WWaTT_RRYSUUSXRS_NSbKXfHaiDfkAkw7svCpvHnkMkjQdgSYd\
UXaWV_YUY_SWaQUcPSzNQzMOzOczPhzQmzRrzSFSTDPUBLV9IW\
8FRGEMOEHVDCbD7iDEaLKUSQM_WFfXJdYMbZQa_T_`XZ`_XabV\
bfUciSdmRepPesO_ncUisWhiXg_YgQZfG_f6adBbbGd`Ke_PfY\
UhWYiUbjTfkRhlPimNjnLlnJmoHnpGoqEqrCrrAss8utcvucwu\
cxtctscprclqcipceomanmYmmVlmUlwTkwTkwSjwRjiRheUgaW\
fZYeV_dRbcOdaKf`Gh_DkZ9mY5oX2qQGmKTjDef7rc8ob8la9i\
`9f_AdZAaYBZYBWXCUWCRVDOUDLTDJTSCaf6ju0rv2sv3sv4tv\
5tv6tv7uv8uv9uwBvwCvwDwwEwwFwwGxwHxwIx3yYAvWGtUMqS\
SoRYmPcjNihLofKmaPkYTjUXhQagMeeIicEnbFr`Kv_PzYUxXZ\
wWcvUhuTmtSrsRvrPzpOzoNznMzmKzlJzkIzjHzi8zgIzhSzia\
zjkzjXzUIzEBzQEzZHzgJzpGzdDzUAzJIzOPzTWzYbzaKzV1zP\
LzMczKvzIWzM6zPIzXUzcnzgezjvzhtzkrznJzMczrjzqJz8Vz\
OfzbKz_`zhEzPSzZdzh6zK5zL }
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.
