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File:Tetration period.png

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English: Tetration by period. This is a fractal of tetration showing the points in the complex plane that are periodic under iteration. The red kidney shaped area has a period of one and is the area of convergence of the power tower function. The small yellow circle in the depression to the left of the red area is period two and contain zero. The large green area is period three. This fractal is similar to the Mandelbrot fractal except it is an exponential map instead of a quadratic map. The fractal was created using Fractint and shows from -4.5 to 3.5 of the real axis and from –3i to 3i on the imaginary axis.
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Source Own work, en:Image:Tetration_period.gif
Author en:User:Daniel Geisler
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Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
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Date/TimeThumbnailDimensionsUserComment
current14:31, 19 March 2015Thumbnail for version as of 14:31, 19 March 20151,024 × 768 (51 KB)RokerHRO (talk | contribs)optipng -o7 -i0 → 53.97% decrease
14:30, 4 October 2009Thumbnail for version as of 14:30, 4 October 20091,024 × 768 (111 KB)Renamed user KdYpUvMgT (talk | contribs){{Information |Description={{en|1=Tetration by period. This is a fractal of tetration showing the points in the complex plane that are periodic under iteration. The red kidney shaped area has a period of one and is the area of convergence of the power to

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