OFFSET
0,3
COMMENTS
First differs from A269757 at n = 19.
On a white square, turn 90 degrees right, flip the color of the tile, then move forward one unit.
On a white octagon, turn 45 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.
On a black octagon, turn 45 degrees left, flip the color of the tile, then move forward one unit.
As in the original variant, order emerges after a transition phase and the ant starts building a recurrent "highway" pattern of 12 steps that repeats indefinitely. - Rémy Sigrist, Jul 21 2019
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..500
Felix Fröhlich, Illustration of iterations 0-50 of the ant, 2019.
Rémy Sigrist, Configuration after 100 steps
Rémy Sigrist, PARI program for A308973
Wikipedia, Langton's ant
Wikipedia, Truncated square tiling
FORMULA
a(n + 12) = a(n) + 6 for any n >= 34. - Rémy Sigrist, Jul 21 2019
EXAMPLE
See illustrations in Fröhlich, 2019.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Jul 04 2019
EXTENSIONS
More terms from Rémy Sigrist, Jul 21 2019
STATUS
approved