pagetop 
August 27, 2011: Iterative Splendor Aug. 26 Aug. 28 2011 FOTD Home
 Rating 9

iterative

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.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

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 }

END PARAMETER FILE=========================================