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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image rates a 10. This is no mistake. To find it, I went as deep as possible into Seahorse Valley to highlight one of the things there that I call peanut holes. I named the image "Ultra-Extremism" because it takes everything to the extreme. To start, the maxiter of 2,147,483,647 is the program's limit, and even with this maxiter there are open holes in the image. Next, the magnitude of 1.7*1013 is at the limit of the conventional math routine, and finally, the calculation time of almost 7 hours is the limit of practicality. (Arbitrary precision math would finish the image in about 700 hours, or one month.) Since the image sets a new record in so many aspects and also is artistically pretty good, I decided to give it a rating of a 10, the highest possible rating, very rarely achieved. Perhaps the most interesting thing in the image is its lack of resemblance to anything that might be expected in a typical Seahorse Valley image. The net-like features, for one thing, are nowhere in evidence in the normally explored parts of the valley. I strongly advise against calculating the image yourself. The calculation time of almost 7 hours on my fastest machine will stretch into days on anything slower. The way to view the image is to go to the FOTD web site at: Friday started with heavy low clouds and rain here at Fractal Central, but at noon the rain ended and the sky cleared, leading to a most pleasant afternoon with a temperature of 48F 9C. The fractal cats celebrated by sleeping. My day was rather busy during the 7 hours the fractal cooked. But the wait was worth it. The next FOTD, probably not as good as today's but still worthwhile, will be posted in 24 hours. Until then, take care, and be thankful. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Ultra-Extremism { ; time=6:57:45.09-SF5 on P4-2000
reset=2004 type=mandel passes=1 mathtolerance=0.05/1
center-mag=-0.75000000009776880/+0.0000079999576397\
2/1.702597e+013/1/15/0 params=0/0 float=y inside=255
bailout=9 maxiter=2147483647 periodicity=10
colors=0000If0Gf0Ef0Cf0Af08f06h04h02h00h00h00h00f0\
0d00a00Z00W00T00Q00O00N00N00N00P00R00T00W00Z00a00c\
00d00d00d00d00d00d00d01d02d03d04d05d06d07d08d09d0A\
d0Bf0Cg0Dh0Ei0Fj0Gk0Hl0Im0Jn0Ko0Lp0Mq0Nr0Os0Pt0Qu0\
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0gz0hz0gz0ez0cz0az0_z0Yz0Wz0Uz0Sz0Qy0Ov0Ms0Ks0Is0G\
s0Eq0Cn0Ak08h06f04d02b00_00Y02Y04_06Y08W0AT0CR0EP0\
GN0IK0KI0MG0OG0QE0SC0UW0ZW0cT0hT0qT0yR0vR0vR0sR0sP\
0qP0qP0qN0nN0nN0kK0kK0hK0hI0fI0fI0dG0dG0bG0bE0bE0_\
E0_C0YC0YC0WC0WA0TA0TA0R80R80P80P60P60N60N40K40K40\
I20I20G20G10E10E10N00I00E10A208404601800A00C00G00I\
00K00N00P00R00T00Y00W00W00W10W40WA2WE8WKCWPIWTPW_W\
WdbWkhWqqWvvWzzWzzfzzszzzzzzzzzzzzzzzzzzzzzzzszzfz\
zWzzWzzWzzWzuWzpYzkYzfYzaYzaYzfYxkYwp_uu_sz_qz_oz_\
mz_kz_izbgzcezhczmazw_zzYzzWzzUzzSzvQzrOymMshKnfIk\
dGfdEddC_dAWd8Td6Qd0Nd0Kf }
END PARAMETER FILE=========================================
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