Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets

Jiming Ma; Fangting Zheng

doi:10.1007/s10711-025-00986-8

Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets

Jiming Ma, Fangting Zheng^*

^*Corresponding author for this work

Department of Pure Mathematics

Fudan University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we obtain a complete classification of 331 finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets.

Original language	English
Article number	25
Journal	Geometriae Dedicata
Volume	219
Issue number	2
DOIs	https://doi.org/10.1007/s10711-025-00986-8
Publication status	Published - Apr 2025

Keywords

4-polytopes with 7 facets
Coxeter polytopes
Hyperbolic orbifolds

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10.1007/s10711-025-00986-8

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title = "Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets",

abstract = "In this paper, we obtain a complete classification of 331 finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets.",

keywords = "4-polytopes with 7 facets, Coxeter polytopes, Hyperbolic orbifolds",

author = "Jiming Ma and Fangting Zheng",

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AB - In this paper, we obtain a complete classification of 331 finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets.

KW - 4-polytopes with 7 facets

KW - Coxeter polytopes

KW - Hyperbolic orbifolds

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JO - Geometriae Dedicata

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Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets

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Keywords

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