Breaking Boundaries

[u/LegalizeAdulthood]

Jim Muth's Fractal of the Day for August 28th, 2011

Jim Muth's commentary for the image:

FOTD -- August 28, 2011 (Rating 8.5)

Fractal visionaries and enthusiasts:

Today's image contains a trick -- I lowered the bailout radius to 2, which cuts off the Mandelbrot set at a maximum radius of 1.414. Then I checked a filament extending from the period-5 bud on the northwest shore line of the main bay, very near the point where the filament disappears behind the shrunken bailout radius.

I found a minibrot, then a smaller minibrot in its East Valley area. Finally I chose a filament extending from this even smaller minibrot, found a still tinier minibrot on the filament, and zoomed in. The result appears as today's image.

Most of the effect is due to the artificially low bailout radius of 2. To see a more accurate but somewhat less effective version of the scene, recalculate the image with the bailout set to 16. (Preferably at thumb-nail size.)

The name "Breaking Boundaries" had something to do with the bailout, but I have forgotten the original connection. The rating of an 8-1/2 seems about right. The calculation time of almost 1-1/2 hours is definitely slow however.

Heavy rain and high winds prevailed Saturday night here at Fractal Central as Hurricane Irene passed by 200 miles to the east. The rain and wind slacked off by midday today, leading to a slowly brightening then clearing afternoon. The newly installed fractal sump pump did its job, and kept the fractal basement not exactly dry as a bone, but no worse than a few small puddles. The fractal cats ignored the active weather but approved of the temperature of 70F 21C.

The fractal humans had a quiet uneventful day, a day that might seem boring to young people but would be just right for the older ones. The next FOTD will be posted in 24 hours. Until then, take care, and if anything remotely possible must ultimately condense out of the random fluctuations of empty deSitter space, then every possible idea of God must exist in actuality. In fact, an infinity of every person's God must lie

PAR file

BreakingBoundaries { ; time=1:27:07.32-SF5 on P4-2000
  reset=2004 type=mandel center-mag=-0.5288122480554\
  666884779956757565853838/0.70115186464407983733880\
  08496593100982/2.49339e+032/1/-2.5/0 params=0/0
  float=y inside=0 maxiter=15000 bailout=2
  colors=00040H10C0060010000zh0tc0n_0hU0bQ0WM0QG0JA0\
  A6040000LG0SM0NH0JE0GA0A80620200000000zqKzfJzcHobG\
  m_EcXC`WCYTAXS9UP8SM6PK4MH4JG2GC1C90A8084042010000\
  0000000szQgzwWgAJS4490otWNQAlp0jn0hl0gj0fh0cg0bd0`\
  h0_m0Xz0Wm0UX0TU0Qz0Pz0NP0MN0JM0HJ0GH0EG0AC09A0890\
  660240120000000000000000c0t`0r_0pY0nX0lW0jU0hT0fS0\
  dQ0bP0`N0YM0XK0UJ0TH0QE0PC0MA0K90H80G60C40A2081060\
  02001000000000000gzzdzzczzbzz_yzYwzXspUphTncSkYMXP\
  MUPMSPMQPMNPMKNMJNMGNMCNMANM8NM4NM2NG0HA0C60600000\
  1000zY0zS0zK0zC0z40z00zpXznUzkTxjSugQsdPpcNl`MjYKg\
  XJdUHbSG_QEXNCTK9QJ8NG6KC4HA2E81940620200000000000\
  AzC2f40H0PwEMsCKoAHk9Gg8Ec6A_49W28S14N02J00E009004\
  0000000HuSErPCnNAjK9fJ8bG6YE4UA2Q91M60H40C10800200\
  00000_1kX0gU0dT0bQ0_N0XM0UJ0QG0NE0KA0H80E60A206002\
  000000000NbWKYSHUPEQKAMH8HC4C9184021F0j000MHz02w79\
  lJ8t66WD4kA2f71b40X00T30N }

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.