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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: DUE TO THE SPRING HOLIDAYS THERE WILL BE NO FOTD ON MARCH 23 AND 24. THE NEXT FOTD WILL APPEAR ON MARCH 25. Today's image lies in the fractal created when 1/2 part of Z3 is combined with Z1.5 and C is added. The parent fractal consists of two Mandelbrot sets connected like siamese twins into a single N-S stretched fractal with X-axis symmetry. Smaller disconnected M-sets lie N and S of the main fractal. Today's scene lies in the East Valley area of the disconnected M-set on the northern side of the main fractal. When I saw the image with its crumpled, satiny interior, I had no choice but to name it "Satiny Satin". I would have given myself an extra half point for producing the satin effect, but it was the program, not I, that created the colors. Still, the rating of an 8 makes the 1-3/4 minute calculation time almost a bargain. Another bargain may be found at the FOTD web site at: Except for late afternoon clouds, the Friday weather was near perfect here at Fractal Central. With little wind and full sun, the temperature of 46F 8C felt just about right for the start of spring. The fractal cats agreed. My day was quite busy; the next two days will be busy also. The next FOTD will be posted in 72 hours. Until then, take care, and have a happy fertility festival. (Eggs and rabbits, as well as resurrections, are symbols of fertility and new life.) Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Satiny_Satin { ; time=0:01:45.36-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.2127364819281549/+2.181650197032898/\
2.3169e+010/1/-45/0 float=y inside=0 periodicity=10
params=1/1.5/0.5/3/0/0/0/0 maxiter=1800 outside=tdis
mathtolerance=0.05/1
colors=000zizzkzzlzzlztizfgkRfXBdI0b20a00f00i04n0B\
q2Jw6Qz9YzDdzGizInzIszIxzIzzJzzJzzJzzJzzIzzIwzIpzI\
izIbzIXzI_zQbzYfzfgtnknwngzpbzxLiz2Gz00z40wN0nd0fw\
0Yz0dx2kiEqVQxGaz1lz0ws09x8NzXYzsizllzfpz_szTtzNxz\
Gzz9zQ98N06RENXXarzzmzzbzzdxzfxyfxx_xxTrxNnxGix9bx\
2Yx0Rx0NxkILgDRf9Yd6da2i_0pY0wX0zR0zO2zL8zIBzEGzBL\
z8Qz4TzBVwIXlOYbV_TaaIgb8nd0sd0kV0dL0YD0R20L00E00L\
01R09X6IbDQiJYnQftXnzbtqVkiObaIVTBNL4ED06400806B0D\
D0LG0RI0YQ1QXBIdL9kV1qb0kd4fdGafRXfbRgnNgzIgz9dp2a\
X0YD0V0OO0z00zE1zzBzzzzzTz0az0kw0ss0pp8nnJlkTkgdgf\
pfbzdazbf00iD0lY0ps0bD1YT9TiGOzNJzTOTGT04990QO1fb6\
wpBkb9_R9OG9D49109001000000000100600B00G00N00R10X1\
0a20f20k20f40a60X80R80N90JzzOzwTzpXzkazdfz_kzTpzOt\
zIxzDszGpzIlxLgqNdiOabRYXTTOVQIYN9_I2aE0dB0f80gG0a\
N0VV6OaEJgNDpV6wb0zi0zg1zf6zdBzbGzbLTVROiDJx0Ot6Tq\
EYnNalTfiakfindpqfttgxxiz }
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.
