|
|
A325955
|
|
Langton's ant on a three-dimensional grid: number of yellow cells on the grid after n moves of the ant.
|
|
8
|
|
|
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,17
|
|
COMMENTS
|
The ant starts on a completely white grid.
Order of operations: turn 90 degrees, change cell color, move forward one unit.
The rules governing the movement of the ant and the change of cell colors are shown in the following table:
Cell color at | Direction of | Color the cell is
start of iteration | 90-degree turn | changed to
--------------------------------------------------------
white | right | black
black | left | blue
blue | up | yellow
yellow | down | white
|
|
LINKS
|
|
|
EXAMPLE
|
See illustration in links.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|