Compact hyperbolic Coxeter five-dimensional polytopes with nine facets
Jiming Ma, Fangting Zheng

TL;DR
This paper provides a complete classification of five-dimensional compact hyperbolic Coxeter polytopes with nine facets, advancing understanding of their geometric and combinatorial properties.
Contribution
It offers the first comprehensive classification of such polytopes, filling a gap in higher-dimensional hyperbolic geometry.
Findings
Complete list of compact hyperbolic Coxeter five-polytopes with nine facets
New insights into their geometric structure
Foundation for further research in hyperbolic polytope classification
Abstract
In this paper, we obtain a complete classification of compact hyperbolic Coxeter five-dimensional polytopes with nine facets.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Quasicrystal Structures and Properties
