This study presents the rotation-symmetric rules of finite two-dimensional cellular automata. The lattice considered is the finite triangular lattice with von Neumann neighborhood of radius one under null boundary conditions. There exist 256 rotation-symmetric rules on two-dimensional finite triangular lattice cellular automata. This study reveals the fractal-generating capability of a rotation-symmetric rule with self-replicating patterns. This study also aims to experimentally discuss the reversibility of rotation-symmetric rules in two-dimensional (2D) Cellular Automata on the finite triangular lattice with von Neumann neighborhood of radius one under null boundary.

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Empirical Study on Reversibility of Rotation-Symmetric Rules of 2D Cellular Automata-Finite Triangular Lattice

  • A. Bhavadharani,
  • D. K. Sheena Christy

摘要

This study presents the rotation-symmetric rules of finite two-dimensional cellular automata. The lattice considered is the finite triangular lattice with von Neumann neighborhood of radius one under null boundary conditions. There exist 256 rotation-symmetric rules on two-dimensional finite triangular lattice cellular automata. This study reveals the fractal-generating capability of a rotation-symmetric rule with self-replicating patterns. This study also aims to experimentally discuss the reversibility of rotation-symmetric rules in two-dimensional (2D) Cellular Automata on the finite triangular lattice with von Neumann neighborhood of radius one under null boundary.