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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To create today's fractal I mixed 0.000001 part of Z^(-15) with Z^(2), then added (1/C) rather than straight C. The result was another interesting parent fractal with more nooks and crannies than could be explored in a hundred lifetimes. Having only one lifetime, at least under my present name, I will have time to explore only an infinitesimal part of this parent before moving on. Today's image is my go at this particular fractal. This parent is mostly a network of criss-crossing filaments with a few small minibrots scattered about. This filament network shows up quite well with today's color palette when the logmap is turned off and the magnitude set to 0.15. The first thing I checked in the parent fractal was a tiny little blip along the negative X-axis, where, after a rather frustrating search, I found the scene of today's minibrot action. I named the image "Zits" because of its pimply appearance, and also because the word is one of my favorite scrabble words, though all too often the enemy adds a letter 'i' and makes the word 'ziti', to which I then add an 's' and make the word 'zitis'. The rating of a 7 honestly describes how I feel about the image. It's a little better than average, though far from outstanding. And the very brief calculation time of 43 seconds will evoke the impatience of no one. As always, the most convenient way to see the image is to view it on the FOTD web site at: Perfect weather, with blue skies, hot sun and a temperature of 84F 29C, prevailed here at Fractal Central on Sunday, though with all the perfection we have seen lately, it might be best to call the conditions average. The fractal cats were more concerned with the pigeons on the sidewalk than with the weather. I took advantage of the Sunday perfection by doing nothing. Unfortunately, my idleness will end on Monday, when a sizable job is due in. Unless things get totally out of control, the next FOTD will be posted in 24 hours. Until then, take care, and computers can compute four dimensional objects very well. So why can't we? (It must be a genetic mental block.) Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Zits { ; time=0:00:43.32-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.55725035034667650/+0.001783147086022\
90/8.73116e+012/1/95.34/0 maxiter=425 periodicity=10
params=1/2/1e-006/-15/0/0/0/0 mathtolerance=0.05/1
float=y inside=0 logmap=72
colors=0000CL0DN0EQ0EU0DZACcFBhKAmNArPAvQLzM`mIicZ\
rUwzDczFcsIJlJYdMPUOcMPOK`MJRLG4JF0ID0GC0OQ0VY0ad0\
im0pu4xz7zzAzxFxmJuaMrSQoIVl6Yi0af0dJTlPQfTO`YMVaJ\
PfIJzFDzD7zAI_9QS7_L4gD3p61y00z9DzJQvTcrcplmzfxzas\
zXprQlfLiVFdJ9a73Y00V00`04f0Gl6QrCaxJlzPxzVzz`yvdp\
pjgjo`liSodJp_CsV3uP0vL01mu0`m0Of0A`00T00O00F00606\
00C0070C40P00a00o00z00z00z01z04z06z09z0Cz0Ds3LiCS`\
L_QTdIal7js0sy3lr7dlCYfGS`GPYFMVDJS1sX1v`1xd1yiacv\
zJzvOzgSrTXiF``1dSL`QcXQvSQzPQufAsjCsoDssFsvGrzIrz\
JrzLrzLmzVizcdzl`zuSz`LzIFzG9zG4zF0zF0zD0zD1zJFzPS\
zVcz`VzTOzMFzF6z70z1GzLYzcozvzzzzzzzzzzzzxzyvzvuzs\
rzopzlozipzjpzjrzjrzjszjszjuzjuzjvzjvzjxzjxzjyzjyz\
jvzgszdrzcoz`lzYjzXgzTdzQczP`zMYzJXzITzFQzCPzAFzzP\
zz_zvXzmVzdTzXQrOPzFOz6Mz0SzGXz_`zp_zc_zQ_zDczCfzA\
izAlz9oz7rz7azQMzg7zy1zu0zr0zo0zl0zg6zcFz_PzV_zQgz\
Ozz0uz0mz0fz1_z6Sz9LzDDzG }
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.
