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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The fractal wasp problem, if it was a problem, has been solved. This morning I removed the mud nest from the picture frame and placed it up on a ledge under the roof of the porch, where it will be safe from water and from where the new wasps will be able to fly free as soon as they hatch. Having solved the problem of the wasps, I then turned to the parent fractal to see what I could find. I chose a difficult area to investigate, and as a result, the search was difficult. But in the end persistence prevailed, and I stumbled upon today's strange fractal Minibrot. If my memory is correct, the route to the midget began in the center of the valley that forms the handle of the fan, led past a poorly defined midget into an area of chaos, and then into a spiral, where I located the midget by blinking into and out of color-cycling mode. When I saw the many white grains in the image, I named the picture "Salt and Pepper", and rated it a slightly above average 6 on my fractal scale. The image is another fine one from the parent fractal, the depths of which I have barely started to search. The parameter file runs in 20 minutes -- far too slow a process for impatient fractal fans. But the GIF file of the image has been posted to: The fractal weather today was mostly cloudy with a few sprinkles of rain. Luckily the fractal cats finished their outside adventures before the rain began. The temperature of 81F (27C) was near ideal. The philosophy will return in a day or so. Right now I'm going to shut down the fractal shoppe and call it a night. Until tomorrow, take care, and be happy as you search for the perfect fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Salt_and_Pepper { ; time=0:19:47.10 -- SF5 on a P200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.2005787997640058/-0.00191045176797087/\
8.552409e+007/1/-142.499 params=-1/-11/-11/-1.1/0/800
float=y maxiter=2400 inside=0 logmap=300 periodicity=9
colors=000mJdoJdmHbkG`iG`gEZeEXdCXbAV`AVZ8TX8RV6RT6P\
R4PP2NP2LN0LL0JJ0JH0HG0GE0GC0EA0E80C60A40A2080080060\
04004002002000<7>000000000<2>00000000200400620844A88\
CAAECEGGHHHJJLNLNRNRTPTXRXZTZbVbeXdgZgk`iobkqdoueqxg\
uzivzkzzm<3>zzuzzvzzv<3>zzozzmzzkzzizxgxvevsduobsm`q\
iZogXmdVk`TiZRgVPeRNdPLbLJ`HHZGGXCEV8CT6AR28P06R48R6\
AT8CTAETCGVEHVGHXHJXJLXLNZNPZPR`RT`TT`VVbXXbZZd``dbb\
dddeedegegiggkigmkiomiqoisogqmeomemmdmmdkmbimbgk`gkZ\
ekZdkXdkXbkV`iVZiTZiTXiRViPViPTiNRgNPgLPgLNgJLgHLgHJ\
eGHeGGeEGeEEeCCeCCeAA`AAV88P88J88E4CJ2GP0JV0N`0Pe0Tk\
0Xq0`v0bz0ez0iz0mz0oz0qz0qz0sz0su6umEueJvZRvRXxJdxCi\
z4qz0vz0zz0<4>zz0zz8<2>uzRszXqzdozimzqkzvizzgzzezziz\
zmuzoozsizudzxZzzTzzNzzHzzCzz6xz0vz0uz0uz0sz0qz0qz0o\
z0oz2mz4mz6kz8kzAizCizEgzGgzHezJezLdzEdzGdzGdzHdzHdz\
Jd
}
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==================================
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