Compact hyperbolic Coxeter five-dimensional polytopes with nine facets

2022/03/30 by Ma, Jiming, Zheng, Fangting
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2203.16049

Abstract

In this paper, we obtain a complete classification of compact hyperbolic Coxeter five-dimensional polytopes with nine facets.

Related

• Compact hyperbolic Coxeter four-polytopes with eight facets
• Near Classification of Compact Hyperbolic Coxeter d-Polytopes with d+4 Facets and Related Dimension Bounds
• Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets
• Several families of incommensurable noncompact hyperbolic Coxeter polytopes
• A Classification of Non-Compact Coxeter Polytopes with n+3 Facets and One Non-Simple Vertex