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Fractal of the Day
by Jim Muth
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FOTD -- December 15, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's fractal is another one found so hastily that I could give it no rating. It's actually a scene in the fractal that results when the Z2+C Mandelbrot set is starting to change into the Z^(-15)+C Mandeloid. In this case the minute real(p2) parameter of 0.000000001 makes a world of difference. I'll not try to describe the parent fractal, which is very easy to calculate. But I will say that today's image is found in some new detail that has appeared some distance east of East Valley of the M-set. The name "Emergency Valley" was supposed to be "Emergent Valley", but when I typed 'emergency' by mistake, I thought it a serendipitous error, and kept the mistake. I had little time to work with the colors, which obviously could be improved quite a bit. The calculation time of a blessedly brief 48 seconds is just what the doctor ordered. As always, the finished image may be accessed on the FOTD web site at: Lots of sun and a temperature of 45F 7C kept the fractal cats happy while FL and I decorated the tree here at Fractal Central on Sunday. Except for a minor disagreement about what ornament should be at the top of the tree, (star or angel), things went better than usual. The next FOTD will be along in 24 hours. Until then, take care, and stand by your fractal when it is in distress. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Emergency_Valley { ; time=0:00:48.69-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot6 maxiter=1500 periodicity=10
center-mag=+0.6657136196201/+0.00194141904577634/2\
.561881e+007/1/-135/0 inside=0 logmap=42 passes=1
params=-15/19/1e-009/17 float=y
colors=000hAOTYjWTQZWZaXVdXbggMMipmUq0cne`uWguVaQ0\
00000000RUMZZSfcYnhcvmiswfzzUnz0kJ`zcZfIXcIVaITzLV\
eNWgQYiSZkV`lXagcXbiSYoNTuJUhCVX5ZT7aP9dLBhHDkDFn9\
Hq5IhJG_XFaZGb_GdaGebHgdHheHifHV`TGWd2RoSSWpTCrODs\
JDtEDu9Dv4DtAJsFPrKVqP`pVfo_lndrmixPXe0KO2NP4PQ6SR\
7US9WTBZUD`VEbVLcNRdFXe7UZ5ST4QN3OG2MA1K40I82HB3GE\
5FH6DK7CN9BQAATB9SC8RD8QE7QF7PG6OH6OH4aX3nl9P4NIJ_\
CXm6kz0yq4vh7t`AqSDoKGmOMiRRfVXcYa_agXdlUcnzbpzaqz\
`sz_tzZvzZwzYxzXyzXzzWzzWzzVzzVzzczzlzzuzzdzzPzz9z\
zIzzQzzYzzezz`zzXzzSzzOzzQzzSzzTzzVzzWzS`zLtz_szUr\
zPqzKpzEoz9nz4lz8jzBhzFfzIdzMbzPazS_zPZzMXzJWzGUzD\
TzBQzCNzCKzDHzDEzDOzYLz_Iz`FzbCzc9ze6zf3zh0zi2zd4z\
_6zV8zRAzMCzHDzDIzEMzERzEVzE_zEczEdzDezCfzBgzAhz9i\
z8iz8Ez9Hz8Jz7Lz7Nz6Qz5Sz5Uz4Wz4Vz5Vz5Uz6Uz6Tz7Tz7\
Tz7SzCSzGSzKSzOSzSSzWSz_bzmmzzkzhizRgz9jz7lz5nz4jz\
9fzEbzJZzOVzTSzXszMvzFuzK }
frm:DivideBrot6 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2,
d=real(p2)+0.00000000000000000001, f=imag(p2)+16:
z=z^(a)/(z^(-b)+d)+c
|z| < f }
END PARAMETER FILE=========================================
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times.
