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 language | English |
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Pages (from-to) | 373-396 |
Number of pages | 24 |
Journal | Israel Journal of Mathematics |
Volume | 86 |
Issue number | 1-3 |
DOIs | |
State | Published - 1 Oct 1994 |
ASJC Scopus subject areas
- Mathematics (all)