Geometric realization of a triangulation on the projective plane with one face removed

DOI10.1007/s00454-007-9035-9zbMath1148.52011OpenAlexW2000557599MaRDI QIDQ946688

Atsuhiro Nakamoto, C. Paul Bonnington

Publication date: 24 September 2008

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-007-9035-9

zbMATH Keywords

triangulationprojective planeMöbius bandgeometric realization

Mathematics Subject Classification ID

Polytopes and polyhedra (52B99)

Related Items (6)

A fast algorithm for computing irreducible triangulations of closed surfaces in \(\mathbb{E}^d\) ⋮ On geometrically realizable Möbius triangulations ⋮ Unnamed Item ⋮ A face of a projective triangulation removed for its geometric realizability ⋮ Irreducible triangulations are small ⋮ Pairs of polyhedra sharing the same 1-skeleton in 3D and 4D spaces, without a single common face

Cites Work

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• On the generation of oriented matroids
• Generating the triangulations of the projective plane
• How to exhibit toroidal maps in space
• A Nonpolyhedral Triangulated Mobius Strip
• K₆-minors in triangulations and complete quadrangulations
• How to Draw a Graph

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