2D Reflexive CA Rules over ℤ<sub>p</sub>
Doston JumaniyozovRomanovsky Institute of Mathematics of Uzbekistan Academy of Sciences,Tashkent,UzbekistanShovkat RedjepovTashkent University of Information Technologies,Tashkent,UzbekistanOtaxon KhudayberganovTashkent University of Information Technologies,Tashkent,Uzbekistan
2022en
ABI
Аннотация
The present paper is devoted to study of a new type of lattice that is called pentagonal lattice. We define the von Neumann neighborhood of a cell in this lattice. After that, it is considered a linear Cellular Automata with von Neumann neighborhood over pentagonal lattice. We investigate this Cellular Automata with reflexive boundary condition. For the considered Cellular Automata, we construct the transition rule matrix over the field ℤ<inf>p</inf> with reflexive boundary condition.
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