TY - JOUR

T1 - Geometric realization of a triangulation on the projective plane with one face removed

AU - Bonnington, Craig Paul

AU - Nakamoto, Atsuhiro

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - http://www.springerlink.com/content/1nq4115747211088/fulltext.pdf

U2 - 10.1007/s00454-007-9035-9

DO - 10.1007/s00454-007-9035-9

M3 - Article

VL - 40

SP - 141

EP - 157

JO - Discrete & Computational Geometry

JF - Discrete & Computational Geometry

SN - 0179-5376

IS - 1

ER -