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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is another venture into the strange fmod world of yesterday's image. True, the parameters have changed a little, but the effect is the same. The fmod fill normally draws bubble-like shapes. It has no right to draw things like the nest of Sierpinski triangles that appears in today's image. But the image does not lie -- the shapes are there. Maybe the unusually high proximity setting of 8.5 is responsible for the madness. I don't know the answer, but after the holidays I will certainly do more investigation into this phenomenon. I must also work out a method of coloring these images. The all-or-nothing palette I used in today's image is the best I could find so far, but there are many things I have not yet tried. The many artistic shortcomings of today's image drag its rating down to a 4. This less-than-average artistic rating is somewhat offset by the mathematical potential that lies in the image. I have named the picture "FMOD Mushroom". A quick glance will show why I chose this name. The render time of 11 minutes can be avoided by downloading the completely-rendered GIF file from: Monday was sunny, and the temperature reached an unexpected high of 46F 8C, but the winds were far too high for outdoor comfort. After a brief time sitting on the porch, the dynamic duo decided to pass the afternoon indoors next to their favorite radiators. And I'm going to pass this day working and preparing for the holiday season and all the marginally necessary activities that accompany it. Until next time, take care, and prepare. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
FMOD_Mushroom { ; time=0:11:13.00--SF5 on a P200
reset=2002 type=formula formulafile=jim.frm
formulaname=Mystic2 function=cosxx passes=1
center-mag=-0.49007885823554040/+0.154505053817459\
60/6915.129/1/-115/-1.28745000771424145e-011
params=-1.53003/-0.78746/0.08577/1.30135/1.44567/2\
.45799 float=y maxiter=250 inside=fmod
proximity=8.5 logmap=yes periodicity=0
colors=0000z00z00z00z00z00z00z00z00z00z00z00z00z00\
z0z00z00z00z00z00z00z00z00z00z00z00z000z00z00z00z0\
0z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z0zz\
0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz00z00z00z00z0z00z\
00z00z00z00z00z00z00z00z000z000z00z00z00z00z00z00z\
00z00z00z00z00z00zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
zz0zz0zz0zz0zz0z0000000000000000000000000000000000\
0000000000000000000000000z00z00z00z00z00z00z00z00z\
00z00z00z00z00z00z00z00z00z00z00000000000000000000\
0z00z00z00z00zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz0zz0zz\
0zz0z00z00z00z00z00z00z00z0000z00z00z00z00z00z00z0\
zz0zz0zz0zz0zz0zz0zz0zz0z00z00z00z00z00z00z00z0000\
00000000000000000000000000000000000000000000z00z00\
z00z00z00z00z00z00z000000000000000000000000z00z00z\
00z00z00z00z00z00z00z00z0 }
frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100 }
END 20.0 PAR-FORMULA FILE==================================
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times.
