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Center column of elementary triangular automaton rule 37, from a lone 1 cell.
4

%I #31 Jan 03 2025 12:44:35

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

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

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

%N Center column of elementary triangular automaton rule 37, 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 37 (100101 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|0|0|1|0|1|

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

%H Paul Cousin, <a href="/A371844/b371844.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=37">Rule 37</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. A372553, A371931, A372552.

%K nonn

%O 0

%A _Paul Cousin_, Apr 08 2024