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Fractal of the Day
by Jim Muth
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FOTD -- January 15, 2009 (Rating 5) Fractal visionaries and enthusiasts: Once again on Wednesday, too much work meant too little time for the FOTD. Today's image shows a minibrot that appears to have something wrong with it. The minibrot is located on a filament in the eastern suburbs of the large minibrot on the main stem of the four-dimensional HyperMandelbrot set. Everything is normal until we approach the boundary of the minibrot, where instead of a sharp fractal edge, we find a fade-off to a circular area of smoothness. This might be an artifact of imprecision, but if so, it is the most precise imprecision I have ever come upon. I rated the over-hurried image at a 5, and named it "Something is Wrong". The calculation time of 26 seconds makes up for any lack of quality or lack of interest. And as always, the finished image may be viewed on the FOTD web site at: Wednesday at Fractal Central featured morning sun, afternoon clouds and evening snow, with a temperature of 18F -8C. The fractal cats forgot the drafty window and found the heat. My day was unfairly busy, but who ever said that life was fair? Due to the lateness of today's FOTD, the next FOTD could be posted in about 12 hours. Until then, take care, and unfairness reigns supreme. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Something_is_Wrong-2 { ; time=0:00:26.37-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=HyperMandelbrot2 inside=0 periodicity=0
center-mag=-1.742567447895688/+0.005947579792857/3\
.93563e+007/1/-2.5/0 float=y maxiter=2300 logmap=65
params=0/0/0/0/0.2/0/1e-090/0
colors=000SLoPKlMJhJIcDH_KGXRFUYERcDPjCMq6Jw0Horck\
iYhaTdTOaLI_CDX4B_BIbHPcOUfUai`hlfosQnWES836D5DI7K\
N9RSBYXDdaFkfHrkIygNsdSm`WhY`bVeXRiSOnMLrHNpOPoURn\
_TlfVklXjrYixZli_nV`pGZmMXkRViXTfaRdgPblN`qMQeLFUL\
5IJCEHJBiYRdWO_TMUQJPOHKLEFJCHMEJPFLSGNUHBghMUoXHv\
VOmTUeR_YQeQThMWkIZnF`qBct8fw4hz1cs7_lDWeJS_OWufSY\
POB8PGDPKHPOMPSQPWVP_ZPcbLhcHldDqe9ufKqZUmRcjJelOg\
mSioXjp`lrensiotmbfbRUTFHJ3496QECWFH`GNfHSkIXpJWqI\
WqHVrGUsFUsETtDDbzFdvGerHgnIhjKifLkbMl_NnWPoSQpORr\
KSsG9YtB_qC`nDblEciFdgHfdIgaJh_KjXLkVMlSOnPPoNQpKR\
rISsFul8fpBP9vQLjRX_ShOcfbbg`ahZ`iX`jW_kUZlSYmQYnP\
XoNWpLVqJVrIUsGTtEUeETjDToDSZgT_eT`dTacTbaTc`Td_Te\
YTfXTgWThVTiTTiSTjRTkPTlOTmNTnMToKTpJTqITrGTsFTtE0\
bnAhaKnP1rM3sL5sK7sK9sJBsJDsIFsHGtHItGKtGMtFOtEQtE\
StDp7cVBv`9vf7vk6vfVUbs2`r4Zr6Yq8Wq9UqBTpDRpFQpG4q\
U9sYEtaJudOvhUwlzxrzyzzzz }
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=========================================
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times.
