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

Craig Paul Bonnington, Atsuhiro Nakamoto

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8 Citations (Scopus)


Let M be a map on a surface F 2. A geometric realization of M is an embedding of F 2 into a Euclidean 3-space a R3 such that each face of M is a flat polygon. We shall prove that every triangulation G on the projective plane has a face f such that the triangulation of the Mobius band obtained from G by removing the interior of f has a geometric realization.
Original languageEnglish
Pages (from-to)141 - 157
Number of pages17
JournalDiscrete & Computational Geometry
Issue number1
Publication statusPublished - 2008
Externally publishedYes

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