|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's fractal image is an intensification of the snow cone theme of yesterday's image. In today's image, the features that resemble snow cones have shrunk and become pinched off. They resemble lima beans more than snow cones or even trees, so I named the image "Lima-Bean Minibrot". The parent fractal is a curious Mandelbrot set with a very unstable hole at the tip of the negative stem, which in this case points east, and is therefore more accurately called a positive stem. This hole comes and goes as the portion of Z^3 (real p2) is varied around the present value. Today's midget is located in the tip of a valley-wedge as the wedge meets and joins with the opposite shore. I rated the final image at a 6, which is just the slightest above average. As an unintentional bonus, the parameter file renders in less than 2 minutes. And for convenience, Paul and Scott will soon have the finished GIF image posted to their web sites at: The fractal weather today was very hot, with total sun and a temperature of 104F 40C. The fractal cats were smart enough to remain indoors in such oppressive conditions. As for myself, I've got a bit of work to accomplish, so until next FOTD, take care, and the time for philosophy will arrive as soon as the current busy period has passed. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Lima-Bean_Minibrot { ; time=0:01:46.78--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.275544945297878/0/4.065791e+007/1/180
params=1/2/-0.157/3/0/0 float=y maxiter=1200
inside=0 logmap=52 symmetry=xaxis
colors=0007BzAEzDHzGKzINzLQzOTzRWyVYxY`t`cscfqfioi\
lllokorisshvsixqiznizkizhiyd`taZoZYkZWf`VaaTYaRWcQ\
VdOVdNVfLVhKVhIViHVkGVkETiHRiKRiNQiQOiROiVNiYLi`Li\
cKhdKhhIhkHhnHhqGhsEhvEhyDhzDhzEfzEdzEczEczEazG`zG\
ZzGZzGYzGWzHVzHVzHTzHRzHQzIQzIOzINzILzILzENzBNv9Nq\
6Nl2Nh0Na0NY0NT0NO0NK0LN0LQ0LR0LV2KW6KZ9K`BKcEKfHI\
hKIkNIlQIoTIqZLvcOzhRzlVzqWznTzkQziNxfKscHlaGhZDaY\
AYV7RR4NQ2HN0DK07I02G00E00D00B00A00900900700600400\
2102101200400600700700900A00B00D00D00E00G00H00H00G\
00E00D00B00A0090070060040120210400600700900A00A00G\
IDLQOQL`V6lW7iW9hWAfYBdYDcYEaZG`ZHZZIYZKW`LV`NT`OR\
aQQaROaTNaVLcWKcYIcZHd`GdaEdcDddBdtEdfGdhHdhIdhKfc\
Ih`IiWIiTIlOOnLVoIZqGdsDktAov7vxtzstyotyltyitxftxc\
tx`txYtvVtvRtvOttLttIttGttNtfTtVZtIft7lt0st0nt0it0\
dt0`t0Wt2Rt6Nt9ItDEtGAtK6tN1tR0tV0tY0tW0tV0tT0tR0t\
Q0tO0tN0tL0tK0tI0tB0t00t0
}
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.
