Unexpected Patterns in 1D 6-State Cellular Automata

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This Demonstration lets you explore unexpected patterns in specific 1D cellular automata on six colors. At first glance, a cellular automaton may appear chaotic; however, another coloring of the automaton may reveal an underlying pattern.


These specific cellular automata were found by analyzing the spikes in the plots on the second pane and looking at the slope of the red line. Large spikes in the data mark when the number of cells in a row goes from many of that color to almost none at the end of a large triangle.


Contributed by: Logan Howard (July 2013)
Suggested by: Erin Craig
(Mathematica Summer Camp 2013)
Open content licensed under CC BY-NC-SA




[1] M.R. "How Can I Make a List Animation of Images that Fade In and Out?" Mathematica Stack Exchange. (Jul 15, 2013) mathematica.stackexchange.com/questions/7891/how-can-i-make-a-list-animation-of-images-that-fade-in-and-out.

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