Original scientific paper

https://doi.org/10.31896/k.25.7

Visualization of Sphere and Horosphere Packings Related to Coxeter Tilings by Simply Truncated Orthoschemes with Parallel Faces

Arnasli Yahya orcid.org/0000-0001-9149-7144 ; Budapest University of Technology and Economics Institute of Mathematics, Department of Geometry Budapest, Budapest, Hungary
Jenő Szirmai orcid.org/0000-0001-9610-7993 ; Budapest University of Technology and Economics Institute of Mathematics, Department of Geometry Budapest, Budapest, Hungary

Abstract

In this paper we describe and visualize the densest ball and horoball packing configurations to the simply truncated 3-dimensional hyperbolic Coxeter orthoschemes with parallel faces, using the results of [24]. These beautiful packing arrangements describe and show the very interesting structure of the mentioned orthoschemes and the corresponding Coxeter reflection group. We use the Beltrami-Cayley- Klein ball model of 3-dimensional hyperbolic space H^3, the images were made by the Python programming language.

Keywords

Coxeter group; horosphere; hyperbolic geometry; packing; tilings

Hrčak ID:

269217

URI

https://hrcak.srce.hr/269217

Publication date:

27.12.2021.

Article data in other languages: croatian

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