|
|
A265122
|
|
Binary representation of the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single black cell.
|
|
6
|
|
|
1, 0, 10101, 0, 101111101, 10001000, 1010001000101, 1000100000, 10111000100011101, 1010100010101000, 101000000010000000101, 111110001111100000, 1011101000101010001011101, 101000100000001000101000, 10100000100011111000100000101, 11100010100010100011100000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
REFERENCES
|
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
|
|
LINKS
|
|
|
EXAMPLE
|
First 8 rows, showing surrounding context at left, cells generated by the initial cell at center, and the binary equivalent at right where leading zeros are lost:
0 1 -> 1
1 0 0 0 -> 0
0 1 0 1 0 1 -> 10101
1 0 0 0 0 0 0 0 -> 0
0 1 0 1 1 1 1 1 0 1 -> 101111101
1 0 0 0 1 0 0 0 1 0 0 0 -> 10001000
0 1 0 1 0 0 0 1 0 0 0 1 0 1 -> 1010001000101
1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -> 1000100000
0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 -> 10111000100011101
(End)
|
|
MATHEMATICA
|
rule = 73; rows = 20; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|