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Mathematics
Article . 2025 . Peer-reviewed
License: CC BY
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Mathematics
Article . 2025
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A Characterization of Three-Dimensional Convex Polytopes with Five Pairwise Antipodal Vertices

descriptionPublicationkeyboard_double_arrow_right Article 25 Apr 2025 English Publisher:MDPI AGJournal:Mathematics, volume 13, page 1,412 (eissn: 2227-7390, Copyright policy )Funded by:FCT | D4
Authors: Rong Guo; Chan He; Longzhen Zhang; Senlin Wu;

doi: 10.3390/math13091412

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

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.

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Keywords

convex polytope, Hadwiger’s conjecture, QA1-939, antipodal points, Boltyanski’s illumination conjecture, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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