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A325954
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Langton's ant on a three-dimensional grid: number of blue cells on the grid after n moves of the ant.
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8
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0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 6, 6, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 8, 9, 10, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 7, 8, 8
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OFFSET
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0,19
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COMMENTS
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The ant starts on a completely white grid.
Order of operations: turn 90 degrees, change cell color, move forward one unit.
The rules governing the movement of the ant and the change of cell colors are shown in the following table:
Cell color at | Direction of | Color the cell is
start of iteration | 90-degree turn | changed to
--------------------------------------------------------
white | right | black
black | left | blue
blue | up | yellow
yellow | down | white
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LINKS
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EXAMPLE
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See illustration in links.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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