A309279 Langton's ant on a truncated trihexagonal tiling: number of black cells after n moves of the ant when starting on a dodecagon.

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

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

Table of n, a(n) for n=0..74.

Felix Fröhlich, Illustration of iterations 0-50 of the ant, 2019.

Sean A. Irvine, Java program (github)

Wikipedia, Langton's ant

Wikipedia, Truncated trihexagonal tiling

Example

See illustrations in Fröhlich, 2019.

Crossrefs

Cf. A255938, A269757, A308590, A308937, A308973, A326167, A326352, A309064, A309166, A309241.

Sequence in context: A165597 A269757 A308973 * A245352 A099033 A187786

Adjacent sequences: A309276 A309277 A309278 * A309280 A309281 A309282

Keyword

nonn

Author

Felix Fröhlich, Jul 20 2019

Extensions

More terms from Sean A. Irvine, Jul 22 2019

Status

approved