Visualization of sphere and horosphere packings related to Coxeter tilings generated by simply truncated orthoschemes with parallel faces
Abstract
In this paper, we describe and visualize the densest ball and horoball packing configurations belonging to the simply truncated 3-dimensional hyperbolic Coxeter orthoschemes with parallel faces. These beautiful packing arrangements describe and show the very interesting structure of the mentioned orthoschemes and the corresponding Coxeter groups. We use for the visualization the Beltrami-Cayley-Klein ball model of 3-dimensional hyperbolic space H3 and the pictures were made by the Python software.
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