Compact hyperbolic Coxeter four-polytopes with eight facets
Jiming Ma, Fangting Zheng
TL;DR
This paper provides a complete classification of compact hyperbolic Coxeter four-polytopes with eight facets, advancing the understanding of their geometric and combinatorial properties.
Contribution
It offers the first comprehensive classification of such polytopes, filling a gap in the geometric theory of hyperbolic Coxeter polytopes.
Findings
Complete classification of the polytopes
Identification of geometric structures involved
New insights into hyperbolic Coxeter polytopes
Abstract
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional polytopes with eight facets.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Quasicrystal Structures and Properties