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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: A jolly good fractal image for a jolly good day. Today's image is not great, but it does rate a 7, which is notably above average. The formula behind all the fun mixes 0.1 part of Z^(4.4) with 2 parts of Z^(0.4), then adds C to produce a distorted and rotated Mandelbrot set with a new bay which may be entered through a split down the middle of East Valley. Today's scene is located on the shoreline of this new bay, very near the point where it enters into the main cardoid bay. The image consists of about half-inside and half-outside fractal areas. The more festive parts of the image are its inside parts rendered with the inside=fmod option. Sometimes this under-used option works surprisingly well. I named the festive image "Season's Greetings", a generic name that will offend no one. But the calculation time of 12-1/2 minutes may be offensive to the more impatient fractalists or those with DOS-deprived computers. For these few, the gift of the season is the FOTD web site at: The day was quite busy here at Fractal Central, with visitors and presents to tend to. The weather outside was delightful -- sunny skies and a temperature of 48F 9C. The fractal fans kept the festive spirit alive when they both climbed into the tree at the same time and tipped it over. Luckily, no damage was done to tree or cats, and the day ended peacefully. The next FOTD will appear in 24 hours, give or take a few. Until then, take care, and say good-bye to Santa Fractal for another year. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Seasons_Greetings { ; time=0:12:39.95--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-1.122707213001584/-0.1067224794760697/\
6.782375e+011/1/-15/0.0153 params=0.1/4.4/2/0.4/0/0
proximity=0.932 periodicity=10 mathtolerance=0.05/1
float=y maxiter=1000 inside=fmod
colors=000utkuvkuxklphchfV`dMTbPV_RWYTXWVZUX_SZ`Q`\
bObcLddJffHhgFjhDljBnk9pl9oj9ohAngCneDmcFmbGm`HlZJ\
lYKkWMkVNjTPjRQjQRiOTiMUhLWhJXhIYhIWhJVhJTgJSgKQgK\
PgKNgLMgLKgLJgLIaMNWNRQOVKPZEQbDRfDRjDSiDSiDTiDThF\
UhHUhJVgLVgOWgQWgSXfUXfXXfZYe`YebZeeZeg_di_dk`dn`c\
pacractacqYhnUlkQqiMuhOthQshSshUrhWrgXqgZpg`pgbogd\
ogfnfgmfimfklfmlfokfpkdribtg`ueZwcXyaVz_TzYSzXUzWV\
xVWuUXsUYqTZnS_lR`jRagQbePccPdeRdfSdhUdiVdjXdlYdmZ\
dn`epaeqcerdeteeugevhexjeykezl`zmWznRzoMzpHzqDzrDz\
rDzoEzmHzkKziNygPweSucVtaYr_`qYcoWenUbkT`hSZfRXcQV\
aPTZORXNPUMMSMKPLINKGKJEIIDFHDDGDAFD8FDHJDQNDZRDgV\
DpZEybFzeIzaKzZMzWOzTQzPSyMVwJXvGZuC`s9br9dq9an9Zl\
9WjCThEQeHOcKLaNI_PFXSDVVDTYDR_DP`DNaDLbDJbDHcDGdD\
EeDCeDAfD8gD7gD9eEBcHCaKE`NFZQHXTIVWKUZLSaNQdOOgQN\
jRLmTJoUIjSJoBmqBmrBmsElsGlsJlsLlsNlsQlsSltVltXltZ\
ltaktcktekthkujkumkuoruqz }
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 PARAMETER FILE=========================================
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times.
