Generating Regular Hyperbolic Honeycombs
Computational Geometry
2022-08-31 v1 Formal Languages and Automata Theory
Abstract
Geodesic regular tree structures are essential to combat numerical precision issues that arise while working with large-scale computational hyperbolic geometry and have applications in algorithms based on distances in such tessellations. We present a method of generating and applying such structures to the tessellations of 3-dimensional hyperbolic space.
Cite
@article{arxiv.2208.13816,
title = {Generating Regular Hyperbolic Honeycombs},
author = {Dorota Celińska-Kopczyńska and Eryk Kopczyński},
journal= {arXiv preprint arXiv:2208.13816},
year = {2022}
}
Comments
We plan to extend this in the future with additional numerical experiments