|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: For the first day of the year 2007 we have a fractal image that rates a 7. It is a scene in the parent fractal that results when the tiniest part of Z^(11) is combined with Z^(1.1) and C is added. This parent turns out to be a fairly normal Mandelbrot set with its west side facing east-southeast. The most striking thing in the parent fractal is the eruption of sparkling bits and pieces from the East Valley area, which is now on the west-northwest side. Today's image is located in one of these sparkling bits. I named the image "Festival Fractal". The name was inspired by the four brilliant eruptions at the corners of the pattern around the midget. With a small stretch of the imagination, these eruptions could be a New Year's fireworks display. The rating of a 7 seems appropriate for the unusually striking image. The render time of 5-odd minutes is worth the effort. But the most convenient way to view the image is to pay a visit to the FOTD web site at: A typical winter day here at Fractal Central on Sunday, with a temperature of 39F 4C, went unappreciated by the fractal cats, who still have not tired of the leftover Christmas things scattered around. As for myself, I spent the day uneventfully, searching for that elusive perfect fractal. Not finding it, I settled for the peace that comes when notable events do not happen. But one thing almost certain to happen will take place in 24 hours, when the next FOTD appears. Until then, take care, and search for the peace in everyday life. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Festival_Fractal { ; time=0:05:12.64--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=-0.32284804540225220/+0.230509094470585\
20/3.198929e+007/1/137.5/1.32804573449440966e-008
params=1/1.1/1e-007/11/0/0 maxiter=1500 logmap=201
float=y periodicity=10
colors=00030S63T96UC9VFCWIFXLIYOLZQO_TRYWUWZXUa_Sc\
cQffOikMloKotIpwGrxIvzKzzMzzOzzQzzSzzUzzWzzYzz_zz`\
zzazzczzdzzezzgzzhzzizzkzzlzzmzzozzpzzqziizeazbUxZ\
MxWEwYGw_IwaKwcMwdOwfQwhSwjUwlWwmXkgX`aXQWXFQX4KX3\
NV3PT3RR2TP2WN2YL1_J1aH1dF0fD0hB0j90l7I`PZPeP7CXIA\
cT8hW9mZ9r`9vc9zeAzhAzkAzmAzpBzrBzuBzwBvfErcHo`KlZ\
MiWPfTScRUgSRkSOnSMlcowexnapfZhYV`QSURRSSQQSQOTPMT\
PLSOJSOHSNFSNDRNBRM9RM7RM5WV5_c5dl5ht5frBeqHdpNcoT\
bnY`lTZkPXjKVhGTgBRf7Pe3OdFNcRMbbLanzOctS_nWXi_Tcb\
QZfMTjJOmGMiQLeZJahIZqJakJceKe`KgVLiPLkKMmEMo9OFHP\
LLPQPPVSP_WPd_PibPnfPsiTtZXtO_nLbiIedGh_DkUAnP8qK5\
sF3fHGUJTILdNWWSfOXqGZqFzqFzqFzqFzqEzqEzqEzqEwUcwU\
FwUDwUMyUUxUbwUjvUcuUXtURsUOrULqUIpUFoUCnU9mU6iU3e\
Xca__YbXUeUQhQMkNJnKGqGDtD9wAcz6mz3xzAzzAzzKzzVzzS\
zzNzzHzzBzz5zzMzzKzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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=========================================
|
times.
