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

Author

Felix Fröhlich, Jul 20 2019

Keywords

• nonn

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.

Examples

			See illustrations in Fröhlich, 2019.
		

Links

• 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

Crossrefs

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

Extensions

More terms from Sean A. Irvine, Jul 22 2019