A Characterization of Three-Dimensional Convex Polytopes with Five Pairwise Antipodal Vertices

Concerning the antipodality properties of finite sets, we focus on convex polytopes in R3 with less than 23 vertices and characterize convex polytopes with 5 vertices that are pairwise antipodal.

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Publication Details

Journal
Mathematics
Published
2025-04-25
DOI
https://doi.org/10.3390/math13091412
Primary Topic
Point processes and geometric inequalities
Type
article
Field-Weighted Citation Impact
0.00

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article

A Characterization of Three-Dimensional Convex Polytopes with Five Pairwise Antipodal Vertices

Rong Hua Guo, Longzhen Zhang, Chan He, Senlin Wu
Mathematics
Point processes and geometric inequalities
article

A Characterization of Three-Dimensional Convex Polytopes with Five Pairwise Antipodal Vertices

Rong Hua Guo, Longzhen Zhang, Chan He, Senlin Wu
article en

Abstract

Concerning the antipodality properties of finite sets, we focus on convex polytopes in R3 with less than 23 vertices and characterize convex polytopes with 5 vertices that are pairwise antipodal.

MathematicsVol. 13(9)
North University of China (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 87%
Point processes and geometric inequalities
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