2-Dimensional Reversible Hexagonal Cellular Automata with Periodic Boundary
S. Uguza, I. Siapb and H. Akinc
aDepartment of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa, 63120, Turkey
bDepartment of Mathematics, Yildiz Technical University, 34210, Istanbul, Turkey
cDepartment of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey
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In this paper, we study 2-dimensional finite cellular automata defined by hexagonal local rule with periodic boundary over the field Z3. We construct the rule matrix corresponding to the hexagonal cellular automata. For some given coefficients and the number of columns of hexagonal information matrix, we prove that the hexagonal cellular automata are reversible.

DOI: 10.12693/APhysPolA.123.480
PACS numbers: 02.10.Yn, 07.05.Kf, 02.10.Ox