On realizing symmetric 3-polytopes

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)244-251
Number of pages8
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Jun 1971
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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