A protocol for a message system for the tiles of the heptagrid, in the hyperbolic plane

TL;DR

This paper presents a communication protocol for tiles in the hyperbolic plane's heptagrid, demonstrating its implementation and potential extension to other tilings through initial experiments.

Contribution

It introduces a novel message system for hyperbolic plane tilings, with a focus on implementation and experimental validation.

Findings

Successful implementation of the message protocol

Extension potential to other hyperbolic tilings

Initial experimental results support feasibility

Abstract

This paper introduces a communication system for the tiles of the heptagrid, a tiling of the hyperbolic plane. The method can be extended to other tilings of this plane. The paper focuses on an actual implementation at the programming stage with a short account of two experiments.