Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane

Abstract

In this paper, we distinguish two levels for the plane-filling property. We consider a simple and a strong one. In this paper, we give the construction which proves that the simple plane-filling property also holds for the hyperbolic plane. The plane-filling property was established for the Euclidean plane by J. Kari, in 1994, in the strong version.

References in corpus (2)

• About the domino problem in the hyperbolic plane, a new solution: complement
• About the domino problem in the hyperbolic plane, a new solution

Cited by in corpus (2)

• Is the injectivity of the global function of a cellular automaton in the hyperbolic plane undecidable?
• On the injectivity of the global function of a cellular automaton in the hyperbolic plane (extended abstract)