login
Center column of elementary triangular automaton rule 62, from a lone 1 cell.
4

%I #18 Jan 05 2025 08:03:48

%S 1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,

%T 0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,

%U 0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0

%N Center column of elementary triangular automaton rule 62, from a lone 1 cell.

%C An Elementary Triangular Automaton (ETA) is a cellular automaton in the triangular grid where cells hold binary states and rules are local to the first neighborhood. There are 256 possible ETA rules.

%C Rule 62 (111110 in binary):

%C -----------------------------------------------

%C |state of the cell |1|1|1|1|0|0|0|0|

%C |sum of the neighbors' states |3|2|1|0|3|2|1|0|

%C |cell's next state |0|0|1|1|1|1|1|0|

%C -----------------------------------------------

%H Paul Cousin, <a href="/A371931/b371931.txt">Table of n, a(n) for n = 0..16384</a>

%H Paul Cousin, <a href="https://triangular-automata.net/">Triangular Automata</a>

%H Paul Cousin, <a href="https://triangular-automata.net/rules.html?rule=62">Rule 62</a>

%H Paul Cousin, <a href="https://doi.org/10.25088/ComplexSystems.33.3.253">Triangular Automata: The 256 Elementary Cellular Automata of the Two-Dimensional Plane</a>, Complex Systems, 33(3), 2024, pp. 253-276.

%Y Cf. A371844, A372553, A372552.

%K nonn

%O 0

%A _Paul Cousin_, Apr 13 2024