Skoči na glavni sadržaj

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


Puni tekst: engleski pdf 19.366 Kb

str. 64-71

preuzimanja: 76

citiraj


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

https://hrcak.srce.hr/269217

Podaci na drugim jezicima: hrvatski

Posjeta: 300 *