Coordinates for a new triangular tiling of the hyperbolic plane

Abstract

In this paper we define an infinite family of triangular tilings of the hyperbolic plane defined by two parameters ranging in the natural nummbers and we give a uniform way to define coordinates for locating the triangles of the tiling.

arXiv comment15 pages, 8 figures, 3 tables

References in corpus (2)

• About a new splitting for the algorithmic study of the tilings $\{p,q\}$ of the hyperbolic plane when $q$ is odd
• Bacteria inspired patterns grown with hyperbolic cellular automata