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2-Dimensional Reversible Hexagonal Cellular Automata with Periodic Boundary

Selman UǧuzDepartment of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa, 63120, Turkeyİrfan ŞiapDepartment of Mathematics, Yildiz Technical University, 34210, Istanbul, TurkeyHasan AkınDepartment of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey
2013en
ABI

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In this paper, we study 2-dimensional nite cellular automata dened by hexagonal local rule with periodic boundary over the eld Z3. We construct the rule matrix corresponding to the hexagonal cellular automata. For some given coecients and the number of columns of hexagonal information matrix, we prove that the hexagonal cellular automata are reversible.

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