A zoom off the shore of the big spike minibrot. First find the upper Fibonacci zone -- where the internal angle in the cardioid is close to 0.61803398. The big bud on the left has a period 2x the cardioid's (in this case 3), the next biggest one going clockwise around the cardioid 3x, the next biggest counterclockwise 5x, then clockwise 8x, 13x, 21x, etc.
Then find a spike and zoom at its tip several times before going after one of the embedded Julia sets. This will be a "starzzle" Julia, one that looks like exploded fireworks or the pattern made by cauliflower or broccoli. Zooming in will lead eventually to a minibrot surrounded by rings of starbursts -- 4, then 8, then 16, etc.
Find just the right spot in the starburst in the ring of 16 and zoom up another embedded Julia, and eventually at its core you
will find this infinity symbol hidden in the infinite depths of the Mandelbrot set.
Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.
Detailed statistics:
Name: Infinity
Date: February 10, 2010
Fractal: Mandelbrot
Location: Near the big spike minibrot.
Depth: Deep (37 decimals)
Min Iterations: 758
Max Iterations: 2824
Layers: 1
Anti-aliasing: 3x3, threshold 0.10, depth 1
Preparation time: 30 minutes
Calculation time: slightly more than 1 hour (2.5GHz dual-core E5200)
July 28, 2010, 03:28:16 PM
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