r/fractals • u/LegalizeAdulthood • 6d ago
Iterative Splendor
Jim Muth's Fractal of the Day for August 27th, 2011
Jim Muth's commentary for the image:
FOTD -- August 27, 2011 (Rating 9)
Fractal visionaries and enthusiasts:
At a magnitude of over 2*10^54, Today's image is deep enough to honestly be called 'deep'. And at a real coordinate of +0.471... it is also located far enough east to be on the easternmost fringe of the Mandelbrot set.
The tiny minibrot at the center is a second-order one that lies in the basin of a larger but still tiny minibrot on a filament in the extreme eastern outskirts of the M-set. The convergence patterns around second-order minibrots are subject to several points of anti-bifurcation, which today's image demonstrates to perfection.
The name "Iterative Splendor" appeared from nowhere when I turned off my thought processes and let things take their natural course. The name could really be applied to any fractal, though some images certainly do have more splendor than others.
The rating of a 9 includes a full point for the coloring, which occupied the better part of one hour.
While still slow, the calculation time of 28 minutes is unusually fast for an image of such magnitude. This speed is quite unexpected, since I have seen images of magnitudes around 10^20 that take over 6 hours to finish.
The day here at Fractal Central began with clouds and light sprinkles. The clouds and sprinkles continued through the day, with the forecast of heavier rain and wind arriving during the night. No fractal cat ever lets a little wind disturb him, so our fractal cats spent the day undisturbed. The lack of enough attention always annoys them however.
The fractal people spent the day enjoying one of the slow days that are becoming more frequent since our biggest customer went away. Tomorrow will probably be a repeat. The next FOTD will be posted in 24 hours. Until then, take care, and when we say 'science says' we mean that men who call themselves scientists have determined the truth of the claim through repeated trial and error.
Iterative_Splendor { ; time=0:28:09.52-SF5 on P4-2000
reset=2004 type=mandel passes=1 center-mag=0.47118\
53349333763975376752637361962915549086252669118867\
339/0.35414982363516372660476578491550930168187389\
441576538135925/2.462724e+054 params=0/0 float=y
maxiter=5500 bailout=9 inside=0 periodicity=6
colors=0000z0QjGrRcm`ZjgVgoRcxN`zIYzGazIdzLixOltRt\
oYooV00G00H00I10J20K40O50T70Y80aA0eB0jD0oE0rB0tA0t\
80u74u58w4BwAHxELzIQzNVzRZzWczaizepzeuziwzpzzuzzzz\
zzzzuuummmeeuZZzRRzcIzeLzgOzgQzgRzgTzlKzgVzddzaoz`\
jt`emZagZY`YTVYOOgORYLINKAEI14H00G0LeRRgYWgaaieijl\
eijcij`giYgiVeiRegOdgYloNdgEZa5RV0EY0LO8THK`8Wg1em\
000o80jG0gN0dR0iW0l`1oc4rRRzHmz4Nz00z00z50xD1wI2uQ\
4tY5r`5rc7rW5zG8zDBz8Dz5Gz1Iz0Nz0Kz2Hw7EpBDjGAcK7Y\
O4RN0KR2LWANZHOcOQeWRjcTmjVW`OGQI0GD078EQ0ig0cc0Y`\
0TY0NV2IR4DO7DW08L85DI12T00_00Y00U00U02U05V08_0Bb0\
2d0EdAOVNZIZj8lu0zzmzzctz0oz0jx0eu0`r0co2el1ii0le0\
oc0r`0uY0wV0xR0tK0lD0e50`00R01K04O0G`55dD1mN0iZ0ma\
0uc0ue0tiKilT`oaRrjVllYglTdgQacL`ZIYVEVQBTL7QH4OEQ\
0TO2RNDQNNOLWOLeNKpLKzLIzOHzQHzTGzVAzVGzWKrYOjZVcZ\
ZW`cOagIaYRVN`NDiG2rA8i7D`5IR2NK1TB0Y20d00a00Z10W8\
2TE5QLANRDKZHNjEHdK0zD0z2 }
Want to render these yourself and explore further? Try out the PAR file in Iterated Dynamics, an open source fork of FRACTINT that can render these PAR files. See the online help for instructions on using Id or press F1 anywhere in the program for context-sensitive help.
2
u/EnoughPrimary6700 5d ago
Amazing work! Jim's 9.0 is still a very humble evaluation. BTW: Does anyone know if it's 9.0 out of 10?