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A308937
Langton's ant on a chair tiling: number of black cells after n moves of the ant.
9
0, 1, 2, 3, 4, 3, 4, 5, 6, 5, 4, 5, 6, 7, 8, 7, 8, 9, 10, 9, 10, 9, 10, 11, 12, 11, 10, 9, 10, 9, 10, 11, 12, 13, 12, 13, 14, 15, 14, 15, 14, 15, 16, 17, 16, 15, 14, 15, 14, 15, 16
OFFSET
0,3
COMMENTS
The ant begins on the inner corner of a subtile.
On a white tile, turn 90 degrees right, flip the color of the tile, then move forward until reaching a new tile, moving as far as possible within the tile.
On a black tile, turn 90 degrees left, then continue as above.
The chair tiling used for this automaton is, like all aperiodic hierarchical tilings, not unique (see for example Goodman-Strauss, p. 490). See "Remarks, 2019" in links for clarification which tiling the ant lives on.
LINKS
Chaim Goodman-Strauss, Aperiodic Hierarchical Tilings, in: J. F. Sadoc and N. Rivier, Foams and Emulsions, NATO Science Series, Series E, Vol. 354, Springer, pp 481-496, DOI:10.1007/978-94-015-9157-7_28.
Tilings Encyclopedia, Chair
Wikipedia, Langton's ant
EXAMPLE
See illustrations in Fröhlich, 2019.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Felix Fröhlich, Jul 01 2019
STATUS
approved