Spatial polyhedra without diagonals

Amos Altshuler, Jürgen Bokowski, Peter Schuchert

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We provide new polyhedra without diagonals, and we discuss their embeddings in euclidean 3-space with maximal symmetries starting with a complete classification of their combinatorial properties: orientable neighborly 2-pseudomanifolds with 9 vertices or Mendelsohn triple systems S 2(2, 3, 9). This article was motivated by the longstanding and still open question: find a triangulated 2-manifold which can not be embedded in 3-space. Furthermore, we applied tested and improved algorithms for realizing oriented matroids or finding final polynomials.

Original languageEnglish
Pages (from-to)373-396
Number of pages24
JournalIsrael Journal of Mathematics
Volume86
Issue number1-3
DOIs
StatePublished - 1 Oct 1994

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