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Fractal of the Day
by Jim Muth
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FOTD -- December 03, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Today's fractal impressed me as having a golden undertone, so I named it "Golden Nonabrot". The word 'nonabrot' is one I invented to describe a minibrot of order 9, which has (9-1) or 8 lobes. Normally, order-9 minibrots have a very compressed pattern surrounding them, but when combined with quadratic elements through the DivideBrot5 formula, the surrounding patterns become far more expansive and attractive. Today's scene is found in the northern branch of the Seahorse Valley of the large minibrot on the main spike of its immense parent fractal, which on its surface resembles a giant Mandelbrot set. I rated today's image at an 8.5, including the usual reward of 1/2 point for the 20 minutes I spent on the coloring, which is rather good, (IMO). The calculation time of 4-2/3 minutes is slow by some standards, but not so slow by others. All thoughts of calculation may be banished however by going to the FOTD web site at:and viewing the finished image there. Morning clouds gave way to afternoon sun on Tuesday here at Fractal Central, just in time for the fractal cats to enjoy their much-anticipated two hours in the sun. My day was pleasantly busy, if that is not an oxymoron. The next FOTD will be posted in 24 hours. Until then, take care, and watch the fractals pass around you as you walk. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Golden_Nonabrot { ; time=0:04:40.84-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot5 float=y mathtolerance=0.05/1
center-mag=-442.1377733748792/+0.1697133339657901/7\
.386856e+009/1/-37.5/0 maxiter=5000 periodicity=10
params=9/250 inside=0
colors=000ogQneSlbUk`WiZZgX`fVbdTddQkcRfcRbcRZcRVb\
SRbSNbSJbSF`OAbSBdVBfZBhaCjdClhCnkDpoDrrDsuDpsCnrC\
lqCjoBhnBfmBdkAbjA`iAZg9Xf9Ve9Xl0Vh5Td9S`DQXHOTLNP\
QLLUJHYIDaG9eF5iQNZYeP_dO`cNacMcbLdbLeaKgaJh`Ixb0i\
`IVZZ8VzHYoP_dXaUdcJpb2nd5le8jfAhhDfiFdjIblK`mNZnP\
XpSVqUTrXTuZRsZPrZNpZLoZJmZCpcIlZOhVUeQ_aMeYHkVDqR\
8Lkuc_VvO4rP6oQ7lR8iSAfTBcUC_VEXWFUXGRYIOZJL_KWObh\
8ueCtcFs`IrZLrXOqURpSUoQXoN_nLbmIelGhlEkkBnj9qi7ti\
ArlCqnEpqGosInvKmxSamZzbfzSmzIdzHWzGNzFzzEzzDzzBzz\
Azz5zqhzzMzwRzgKJzDBz6zQECoY9YM6zBMefzzSzzEzzBzz8z\
z5zz2ztENeAGS79z3RsK5rG4dC4z83z4GzV`C6zz3zzCzz9zz6\
zz3zz4zz3zz9zz1PFeO`CZSHhKLrBPz3TbcEWPdXL`WNWVPRUR\
MUTIRahiShyUJWE9ORkHHWA8GWKNOEHa9BA05s3Re2KT0DG06U\
0dN0UG0K94Alnz`ajQPVECFMkECN7knHXXBm_YjYVhWSeUPcSM\
YOJ_QGaSKcVNfYRi`UlbYoe`rhdukfwmezodzncyocxpcwqcwr\
czscztczuczvhzwmzxrzyvzzz }
frm:DivideBrot5 { ; Jim Muth
z=(0,0), 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.
