On realizing symmetric 3-polytopes

Joseph Zaks

doi:10.1007/BF02771576

On realizing symmetric 3-polytopes

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Abstract

We prove the analogue of Eberhard's Theorem for symmetric convex 3-polytopes with a 4-valent graph, and disprove a conjecture of the late T. Motzkin about realizing symmetric convex 3-polytopes so that all of their geodesics are in planes.

Original language	English
Pages (from-to)	244-251
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/BF02771576
State	Published - Jun 1971
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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On realizing symmetric 3-polytopes

Abstract

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