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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to a lack of time, today's discussion will be short. But many words are not necessary, since today's image speaks for itself. Today's image is a scene in East Valley of an almost-Mandelbrot set. The minibrot at the center is clearly of order-7, while the surrounding pattern holds quadratic features. All in all it makes an interesting, though not exceptional picture. I named the image "Seven Squared" because it contains elements of both Z7 and Z2 Mandeloids. I rated it at an average 5 because I can find nothing out of the ordinary in it that could make it worth more. The calculation time of 2-1/3 minutes is fast enough to make calculation, if not exactly a pleasure, then not too long an effort. And the finished image is available as always on the FOTD web site at: Another typical midsummer day passed uneventfully here at Fractal Central on Tuesday. The temperature of 86F 30C and hot sun was perfect for any outdoor activity. It was perfect even for indoor activity, as the fractal cats were unusually active most all day, thundering back and forth up and down the hallway, ducking in and out from behind the books on the shelves, chasing each other around for the fun of it. My day was rather busy, both with work and with preparations for the trip back to Old Fractal Central on Wednesday. Because of that trip, there will be no FOTD for July 31, but if all goes well, (as I hope will be the case), the FOTD for August 1 will appear on schedule in 2 days. Until then, take care, and you may already be a fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Seven_Squared { ; time=0:02:22.53-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 passes=1 float=y logmap=186
center-mag=+5.278336322581068/-0.0532935461935686/\
1.004852e+009/1/-52.5/0 maxiter=1800 periodicity=10
params=7/20 inside=0
colors=000XeTagSfjQlmPqmOvnWpo`knefljakoXitShyRirR\
jkRkdRlYRmRRnKRoDRo7WmE_kLdjShhYlfdqekucru`vq_pnXj\
hWbcUWYSNTPEPLDLJDIHDEFDADD7CDIZ8Tu3SoCRjKRdSQ__PU\
gPPoUMrZJucGxgDzdIvbNs`SpYXmWajUegen7giFieNjaVlYbn\
UjoQqY_XHiCGjFGkHFlKFlMZDVdG_iJcnMgsOk`TWJYG1b0A`4\
JZ7SXA`VEiTHrRKzPNwQPuQRsRTpRUnSWlSYjSZ8UvOSgcRTrQ\
FiLC`GASB7J65A23tmlrjdqhXoePncIhgGckFoFhjQff`dakbY\
u``kXbaTeTPgJLj9Hl0EoAKqJPsSUva_xjdzsiprdfr_YrVjWN\
w9FmDIcGKUJNLMPKSTKXWKb_KgbKmfKriN`J2xj5mi7chAUgCK\
gGIdJGbNE_QDYUBVX9T_8R`9Ua9Xa9ZbAacAdcAf`BeZCeXCeV\
DeTDeQEeOEeMFeKFeIGeGGeIIaJJZLKVMLSOMOPNLROHSPEPRD\
MUBJX9GZ8IY9JYAKYBMYCNXDOXEQXFRXGSWHUYIV_JWaKXcKWe\
NBgL1iICkKNmMYoOhqQgsVgu_fwdfxieynezr_zfUzWPzPzzJz\
zCzz6zz0zz3zz5zz7zzAzzCzzEzzGzzSzzczzfzzizzIzzKzzM\
zzO`zQfzSlzUhzYdz``zcYzfUziQzlNzoPz`QzMRz8nzMozPpz\
RkzSgzTbzUZzUUzVQzWMzWSzU }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
