KoG, Vol. 25 No. 25, 2021.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Coxeter group; horosphere; hyperbolic geometry; packing; tilings
Hrčak ID:
269217
URI
Datum izdavanja:
27.12.2021.
Posjeta: 815 *