Fractal of the Day
by Jim Muth
|
FOTD -- March 14, 2009 (Rating 5)
Fractal visionaries and enthusiasts:
Today's image is as far as we can go into the center of the Hyper-Mandelbrot thing that appeared as yesterday's FOTD. Even at the incredible magnitude of almost 2*(1014) there is no end in sight to the bottomless pit, which appears to go on to infinitesimal infinity, with new scenery all along the way. The mathtolerance entry in the parameter file is necessary to assure that the image calculates at the extreme magnitude, which is actually a little beyond the limit of full definition.
I named the image "Beyond all Limits" because there appears to be no end in sight. Then I gave it a rating of a 5. It's hard to give a higher rating to the third consecutive view of the same object.
The calculation time of 3-2/3 minutes is easy to live with, as is the trip to enjoy the finished image on the FOTD web site at:
A rather pleasant but slightly chilly late winter day prevailed here at Fractal Central on Friday. The fractal cats enthusiastically approved the brilliant warm sunlight that flooded their window shelf all afternoon, while I interrupted my work several times to also enjoy the cheerful show.
Unless some weekend distraction, such as an antiquing trip, arises, I'll post the next FOTD in 24 hours. Until then, take care, and what will we turn to when we outgrow science?
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Beyond_all_Limits { ; time=0:03:41.07-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=HyperMandelbrot2 inside=0 periodicity=0
center-mag=+0.2527592487851626/-0.0002262879051008\
/1.578045e+014/1/-87/0 float=y mathtolerance=0.05/1
params=0/0/0/0/-4.085/0/1e-015/0 maxiter=2400
logmap=1319
colors=0009iZAgWBdSCaPDYLEVIFSEGPBHN7HL4GK7FKAELDD\
MGCNJBOMAQP9RS8SV7TY6U`5Vc4We8Z_C`VGcQKeKOhFRjAQlD\
PnGOoJNqMMsPMtSOuRPuQRuQSuPUvOVvOXvNYvM_wM`wLbwKcw\
KPQnIANCBO6CPADQEGRHISIKTJMUKOVLQWDSX5VY6Y_6``6ca6\
fX7iS7lN7oI7qEBoFFlGJhHNcIRZJVUJZPKbKLfFMjANn5Or1O\
q2Mp3Lo3Ko4In4Hm5Gl5El6Dk6Cj7Ai79i88h86g95g94iG5kN\
5lT6n_6oe7ql7rr7giIY`SNSbDJl3BvSnEZoCeqBls9rt8TkC3\
bFDaJN`NWaRe`Vo_ZsaXucUwdLyfCzh4ze3za2zY1zT0xPHsJI\
jKKhILzzMSJOVHPZFQaDSeBTh9Ul7Wo5Xs3Yv1Zw2_w3`w3aw4\
bx4cx5dx5dx6ex7fy7gy8hy8iy9jy9jqDijHhcLgXOgVQhTShR\
ViPXjNZkL`lJbmHdnFfoDhoSRue9zdCwcFubIsaLq`Oo_RmZUj\
YXhX_fWbdVebUh`UkZPaXLSWGIVC8UF7VH7WJ7WL6XO6YQ6YS6\
ZU5_W5_Z5``4ab4ad4bf4bTNNFd8IXKLQzOczRBz0gH4hG8hGB\
iGFiGJjGMjGQkFTkFXlF`lFcmFgmFjmFcXyZasUemPihKnbFrX\
BvSAzUAzWmzXzzZzz_zzazzbzzdzzezzgzzhzzjzzkzzmzznzz\
lzzjzzhzzgzzfzzezzezzdzzc }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
to the renowned Fractal Census,
or to the revised Spanky Fractal Database.
Plus, to my hostings of:
O's Fractal Art Gallery.
Go to my Fractal Pages on this site, or
to my latest web site for Fractals.
Go back to top, or to the main FotD index page.
This URL has been accessed approximately
times.
Website brought to you by the AT&T Personal Web Pages from the AT&T WorldNet Service.
Copyright © 1994--2010 Nahee Enterprises. All rights reserved. Reproduction in whole or in part in any form or medium without express written permission of Nahee Enterprises is prohibited. Nahee Enterprises and the Nahee Enterprises logo are trademarks.
