|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: I hope I can keep the FOTD going between now and March 31, the date I'll have the new improved Fractal Central shop in full operation. I don't know whether I'll make it or not. I may miss a few FOTD's in the next 5 weeks, but if I do, it will be nothing to be concerned about. I'll simply have had no time to enjoy the fractal world. Today's less-than-exciting fractal diversion takes the formula 1.23Z^(-12.3)+12.3Z^(-1.23)+(1/C), an obviously whimsical expression, and iterates it through 1200 cycles, until the resulting fractal reaches full definition. The image itself lies in a disconnected feature, a basin near a large valley on the north side of the parent fractal. After noticing the warm reds surrounded by cold blues, I named the image "Icy-hot Mandelbrot", and rated it an average 5. I can rate it no higher because I expended so little effort in producing the image. It's a rather different looking midget, which shows a single sample of the astronomical number of different midgets that are possible with the MandelbrotMix4 formula. The parameter file renders in 6 minutes on a Pentium 200mhz machine. That time can be cut down to a minute or two on the fastest machines. As always, the file of the GIF image will soon be available on the Web at: But give Paul and Scott a chance to render and post the image before going to their sites. The fractal weather today was partly sunny and 42F (5.5C). However enough snow is still on the ground to keep the dynamic duo of cats sulking indoors. With so much to do, I had no chance to philosophize. My apologies to the fans of fantastic philosophy. But I'll return tomorrow with another fractal. It may not be the greatest image of all time, but it will at least be worth a look. Until then, take care, and never lose your sense of wonder. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Icy-hot_Mandelbrot { ; time=0:06:04.65 -- SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.23125677573285500/+1.17580024983076700\
/821730.6/1/-7.5 params=1.23/-12.3/12.3/-1.23/0/800
float=y maxiter=1200 inside=0 periodicity=10
colors=000rferb`r_WrXRrUMrRHrOCuM4rL8pKCmJFkIJiHNfHQ\
dGUbFX_E`YDdVDgSXWm8Ui9_e9daAiYAnUAsiPhycYma`a_bQYdF\
XfIS_LOUOKORFHUBBX75R9ALAEFBI9CMa0X4DQ8LTCSVKT9HM8FF\
8JIGNKOQMWUPbXRj`TrcVyB2JaLJzcJogQcjWSnaGqg4tm9k_EbN\
JVAGYAD`AJdGPgMVjS`mYfqcltirwoxzufhviirkiomiloiiqjes\
jbX2_wjXX2WifVX2UWcUP2TI_SB2R5XREWbNWmV2xTRtRNqPImNE\
jEMm6ToEYpLapSeq_jqfnrmrrtvrnurhtrcsrclscetcZucSvcLw\
cEraIx_LuYOxWSxUVxSYxQXtOWpMVlKUhITdGS`FRYWchlormSC`\
QEbPFTOHPNIKMJGLLCKM8JNEGYKEhQCsWAz_9wb8rf7mi6hm5bi4\
Yt3Tz2Ot9QqGRnNSkUTh`UbZSYYRTXPNWOIVMDULFWUHXbIYkKZt\
L_zJmjIzTKkSMYROJQP5PXHQcTRjdRqpSxzSwrTwiTv_UvRUvIUp\
HXkHZfG`aGcXFeSFgTIbULYVOUWRPXUKTRIYWGb_FfcEkhColBtp\
Axt9spBnlDihFddH_`JVXLQTNLPPNWMObKQiHRpFSvDTuGTuJUuL\
UuOUuRVuTVuWWuZWu`WucXufXuhYukYunYupasodqnhomknmollr\
jkvhluiktijsijriiqihqihpigoifnifmielidiDJlidoge
}
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==================================
|
times.
