Semi-Rotation Automaton Plot

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Consider an elementary cellular automata starting from a single cell. Split it into left and right parts. Rotate the parts by or by
(ignore cells above the diagonals). The two triangular pieces can be merged into a square.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Semi-Rotation Automaton Plot"
http://demonstrations.wolfram.com/SemiRotationAutomatonPlot/
Wolfram Demonstrations Project
Published: March 7 2011