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A309279 Langton's ant on a truncated trihexagonal tiling: number of black cells after n moves of the ant when starting on a dodecagon. 3
0, 1, 2, 3, 4, 5, 6, 5, 6, 7, 8, 9, 10, 9, 10, 11, 12, 13, 14, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 21, 22, 21, 22, 23, 24, 25, 24, 25, 26, 25, 26, 27, 28, 29, 30, 31, 32, 31, 32, 33, 34, 35, 36, 35, 36, 37, 38, 39, 40, 39, 40, 41, 42, 43, 44, 43, 44, 45, 46, 47, 48, 47, 46 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
On a white dodecagon, turn 30 degrees right, flip the color of the tile, then move forward one unit.
On a black dodecagon, turn 30 degrees left, flip the color of the tile, then move forward one unit.
On a white hexagon, turn 60 degrees right, flip the color of the tile, then move forward one unit.
On a black hexagon, turn 60 degrees left, flip the color of the tile, then move forward one unit.
On a white square, turn 90 degrees right, flip the color of the tile, then move forward one unit.
On a black square, turn 90 degrees left, flip the color of the tile, then move forward one unit.
LINKS
Sean A. Irvine, Java program (github)
Wikipedia, Langton's ant
EXAMPLE
See illustrations in Fröhlich, 2019.
CROSSREFS
Sequence in context: A165597 A269757 A308973 * A245352 A099033 A187786
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Jul 20 2019
EXTENSIONS
More terms from Sean A. Irvine, Jul 22 2019
STATUS
approved

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Last modified July 15 17:56 EDT 2024. Contains 374333 sequences. (Running on oeis4.)