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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Though I'll continue reading the mailing lists, this will be the last FOTD until March 15 -- the Ides of March. Until then, I'll be moving the heavy equipment into the new Fractal Central and trying to get things up and running once again. Once things are back in full operation, probably early next month, I'll also resume posting the FOTD images to ABPF. Today's quickie image is another that rates an average 5. I named it "Midget Abstraction" because I could think of nothing better, though it now reminds me of a small basin in a layer of small seashells. The formula 1.4Z^(-3.333)+14Z^(-0.3333)+(1/C) created the parent fractal, which is an inside-out thing shaped vaguely like a horse shoe, or a stunted tree on a wind swept hill. Rendered in the normal manner, the image is filled with holes. To add interest, I have set the inside to bof60 and the outside to tdis. The parameter file of today's image renders in 4-3/4 minutes on a Pentium 200mhz machine. How fast it will render on a PentiumIV 1500mhz machine is anybody's guess, since I have no such machine. To make life easier, Paul and Scott will post the GIF image to their web sites as soon as possible. Unfortunately, writing on a different machine, I do not have the URL's at hand, but they are included in every previous FOTD. The fractal weather today was bland and pleasant, with lots of sun and a temperature of 50F (10C). The fractal cats would have enjoyed a long romp outdoors, but with me so busy, they got none. All they got was angry. That's it for six days. I'll return in 135 hours or so with the next FOTD. Until then, take care, and live and breathe fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Midget_Abstraction { ; time=0:04:44.44--SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.1027237763843053/+0.0570292793854257\
/1102476/1/62.499 params=1.4/-3.333/14/-0.3333/0/40
float=y maxiter=500 inside=bof60
outside=tdis periodicity=10
colors=000Yev6eyAbvE_tHYrLVpOTnSQlVOjTNkSLlRKmJ8kN\
ElQJmTOnXUn_Zobcpfiqehpegoefoeenednecmebleale`ke_k\
e_jeZieYieXheWheVgeUfeTfeSeeRe2hd3XU5LJ6A8NIMcQ_sX\
lfZXcaS`dOJW3RaCYgKemTnu_lr`joahlbfjcdgdcddaae__fY\
XgWUhMblRXjVSh_MfcHdhBbm7Yl6_l6al6cl3fl6dl8clBblD`\
lG_lIZlKXlNWlPVlSTwUSwXMlWRaVWSU`HTe8Mh7Qi7Tj6Wj6Z\
k5bk5el4hl4km1nn3po4nm6lj7jh8heAecBc`CaZE_WFYUHVRI\
TPJRMLPKMNHPMBNLFMLILLLKLOILRHLUGMYFM`DMcCMfBMiAMl\
9MoBKmCJkEHiFGgGEeIDcJLDPMGUNIZOLdPOiQRnQTmTSlWSkZ\
RjaRidQhgQqeTlgRhiQdjP_lNWnM7h3IlCSoLarUkubuxktwjt\
vituhzzzstfsseg5XmV`ssdqsfoshmsjlskjsmhsofsqnytesr\
XmpOgnFal6Wr7Xn7Xj7Xf7Xc7X_7XW0ST7XTCYKD_PDaTEcY7Z\
bEdaKj`KpbQo_WnYamWglUcsOhoQlkSuuTrnUpgUnaUlVUjOUt\
9RnEThIUbMVYQWSUXMYYChVHaZMWaRPeWJhn0og7m`DkVJiOPg\
HVeANqBUjB`cCfYCmRCsLEmMGhMIcMKZMMTMOOMQJMJCHREMYG\
ReHWlJ`q2UrB_sKetSku`quhw
}
frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
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times.
