|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: With its texture that reminds me of something I cannot quite pin down, and its lively colors, today's image is unusual enough, at least in my opinion, to rate a 9. It is found at the northern extremity of the string of large bays in the same parent fractal that gave us yesterday's image. I named the image "A New Direction" because its unique texture is something I have never before seen in a fractal. Actually, nothing should be surprising when it unexpectedly appears in a fractal, since the universe is basically fractal in nature. Then again, fractals are basically a creation of the way the human mind organizes the abstractions known as complex numbers, and as such they occupy a strange shadowy realm between real and imaginary. If one prefers fractals to be real, he can make a print of one and show a picture of it to the world. If one prefers fractals to be imaginary, he can defy someone to prove they are real by handing him the real Mandelbrot set on a platter. To me, fractals are the patterns, ideas if you will, behind the material stuff the universe is made of, and the material itself is as real as the probability waves (fractals?) that make up the atoms. Since the universe can be no more real than the stuff it is made of, mankind is reduced (or raised) to a minibrot in an infinite fractal. I'll not broach the question of whether a fractal can be self-conscious. But self-conscious or not, today's fractal image calculates in a little over 2 minutes on the fast machine and around 12 minutes on the slow unit. As always, the most convenient way to see the image is to go to the FOTD web site at: Higher humidity and more haze made Thursday's 86F 30C too muggy for comfort here at Fractal Central. But while the outdoor life was a bit oppressive, the fractal cats made the most of the life indoors by stalking some imaginary creature in the kitchen for most of the afternoon. Of course, maybe the creature was not imaginary to them! Except for the day's fractal, which was well above average, the day turned out about average for me. The next FOTD will appear in 24 hours. Until next time, take care, and the world can be considered as real as we want it to be. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_New_Direction { ; time=0:02:10.66-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+1.373253567881444/-0.0353980831225605/\
4.556682e+010/1/-55.007934721352008/0.1099798828578
params=-5.5/-1.4142/-1.1/-4/0/0/0/0 periodicity=10
float=y maxiter=1650 inside=0 logmap=233
colors=0000QZ0BW0WT0ZQ0UNE00HO0J00NM6QQHTQQWpZsisb\
IRb0HUM2L00RTNWpsZBTCLgn0s0NisVkEOlJZnEKozzz00szvz\
zzzuuyzzztsvsstpqofhljmiUZgQWdLVqHVaCWl8WY3WW0WU0Y\
TsQP2_JjMF8QB`I6CB2F30I00L00P00Q00l_0oZ0zZ0zY0zh0z\
W0zc0zT0wT0sR1sR2lN0UI0CE0FI0IN0LQ0PV0RY0Ua0Wd0ZY0\
`R0dE0g60i00l00n00o00z00z00z00z00z50z90zF0sK0sO0sT\
0sY0sa0sf0YhL8hnlFQfIUaMZYObTRgjTzNKiJBfI2bH0`B0W6\
6R2CN0GI0NE0T90Y6siPsdQs_RkWTdRUYNWQIYIEZC9`6TR1kI\
3iF5hE8fC9fBBd8Ec6Fa5Ha3UV8fOBsIFsCIsGLsKNsOPqRQnV\
RkZTgaUbdW`iYYlZUp`RpaPpbLpdPp`QpYRpTUpQWpLYpIZpF`\
lI`hJ`aL`YN`RP`NQ`GR`CTa8Wa2YZl0Ui0Qf0Lc0Ia0EZ19W2\
5T31Q50O50Q81Q91RB2RC2RE3TF3TH5VI5WJ6YL6_N8aP8cQIe\
NRgJaiIkkFsmCsoBaqsbssdusdwsfxsfysgzqgznizlkzkkzgl\
zflzbnzanzZozYrzWyzLzzBzz1zz0zz0zz0zz0zz0zz0zz0zz0\
zz1zz2zz2zz3zz5zz5zz9zzCzzHzzJzzPzzRzzWzzZzzbzzfzz\
0zz5zzFzzPzzZzzgzzdzzazzZ }
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=========================================
|
times.
