MAKE A MEME View Large Image Periodic cycles.png Periodic cycles in Mandelbrot set own 2007-03-20 António Miguel de Campos - en User Tó campos Public domain Notice that in 2/5 bulb there is a cycle of period 5 and the trajectory of the periodic cycle jumps always 2 ...
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Keywords: Periodic cycles.png Periodic cycles in Mandelbrot set own 2007-03-20 António Miguel de Campos - en User Tó campos Public domain Notice that in 2/5 bulb there is a cycle of period 5 and the trajectory of the periodic cycle jumps always 2 components counterclockwise in each iteration i e the cycle rotates by 2/5 of a revolution in each iteration The p in p/q works as a rotation parameter In the bottom part of the Mandelbrot set the cycles rotate clockwise The bulbs are ordered as a sequence of decreasing rational numbers p/q 1/2 3/7 2/5 3/8 1/3 2/7 1/4 1/5 1/6 1/7 etc Notice that the bulb between the 2/5-bulb and the 1/2-bulb is the 3/7-bulb 2/5+1/2 3/7 ; and in the middle of the 3/7-bulb and 1/2-bulb there is also a 4/9-bulb 3/7+1/2 4/9 ; etc Mandelbrot sets whole Mandelbrot set properties
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