|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Things were really hopping today here at Fractal Central II. My efficiency was at its maximum however, and I finished the day's jobs in near record time. This burst of efficiency gave me more time than expected to search the world of numbers for a fractal worthy of being christened FOTD for April 6. The world I chose to search is the one created by the whimsical formula 0.3(Z^2)-7.5(Z^(-0.1))+(1/C). I was not disappointed with what I found there. Today's fractal is named "Rainy Evening", a name that was inspired by the cusps surrounding the midget, which remind me of the pattern seen around street lights when viewed in the evening through water droplets on one's eyeglasses. After some indecision, I rated the picture, which is just slightly above average, at a 6. A year or two ago I might have rated it a 7 or 8, but my opinion of what constitutes an 'average' FOTD image seems to be growing ever more strict, and if the present trend continues, I'll have a hard time producing even an average FOTD. The parent fractal of today's image is a grossly mis-shapen Mandeloid, so twisted and torn that it is barely recognizable. At the southwest corner of the figure lies a Mandel-bud with a filament that extends in a disjointed manner into the Seahorse Valley area of a satellite midget. Since filaments usually join midgets in the East Valley area, this unusual junction appeared a likely place to start the day's search. The result speaks for itself, figuratively speaking of course. The result of all this effort may be seen by running the attached parameter file and waiting 5 minutes, or by giving Paul and Scott a chance to post the GIF file of the image to their web sites, and downloading it from there. The URL of Paul's web site is: The weather today turned out to be the finest of the young Spring season, with bright sun, light winds, and a temperature of 64F (18C), which kept the fractal cats outdoors for several happy hours. The fine weather also stirred my philosophical muse, once again raising unanswerable questions about the nature of reality. Every time I discuss this tired, worn-out, but ever-fascinating topic I seem to get into trouble. So stay in touch. I might be in more trouble in a few days' time. But for now it's time to shutter down the fractal shoppe and call it an evening. . . . OK, so it's an evening! Until next time, take care, and the more one wonders about what's real, the less one knows for sure. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Rainy_Evening { ; time=0:05:15.04--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.12191239695861750/-0.037765464265300\
23/3.704671e+008/1/30 params=1/2/-25/-0.1/-0.7/0
float=y maxiter=1200 inside=0
logmap=91 periodicity=10
colors=000000G1AJ1JQ1SV3a`3je3ql3zxIpzXdvYllYr`_xQ\
_zF`z4`z6Vz7Pz9JxADrA9mDAoFApICrJCsMDuODvQFxSFyQDv\
QCsQApPAoP9lP7iO6fO6dO4aM3_M1XM1VL9YLF_LL`LScLYdJc\
fJjiJpjJvlJzm0Tz0Pz3Mz9IzGFzOAxT7v`4sg0pm0ou0lz0iz\
0g0zT0zI9z77v66s66o64l44g43d41a31Y30V30Q10O10L10L0\
0J00J0P66P9CQCGQFMQIQSLXSO`SQdTTjTXoT_uVayVdzVgzVj\
z_lzamzdmvgopjpjmpdpr_ssTvsOyuIzvCzv6zx0zy0zy0zz0x\
z0pz4iz9`zFTzJMzOFzS7zX6z`4yd4si3lm1fr1_v0Tz0Mz0Gz\
FYpVmYizFfzGczG`zGYzGVzGSzGPzIMzIJzIGzIDzICzIFzGIv\
GLsGOoGQlGTgGXdG_`GaYGdTGgQGjMGmJGpFGrCGoAJm9Mj7Pi\
6Sf4Td3Xa1_`0aY0dX0fV1cT4aS7`SA_QDYPGVOJTOLSMOQLQP\
JTMJXLI_JGaIFdGFfF4pP0z_0zi0zg0zf4zdAzcFzcLzaQz`Xz\
_azYfzYczX`zXYzXVzXSzXPzVMzVJzVGzVDzVAzVDzSGzQJzOM\
zMPzJSzIVzFYzD`zCcz9fz7iz4lz3oz0rz0uz0czXfzOizGlz7\
oz0lz0jz0iz0gz0fz0dz0cz0az0`z0_z0Yz0Xz0zz0yz0vz0sz\
0pz0mz0iz0dz0az0Yz0GzADz4
}
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.
