| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647928 | Discrete Mathematics | 2012 | 5 Pages |
Abstract
Let MM be a map on a surface F2F2. A geometric realization of MM is an embedding of F2F2 into a Euclidian 3-space R3R3 with no self-intersection such that each face of MM is a flat polygon. In this paper, we characterize geometrically realizable triangulations on the Möbius band.
► In 1983, Brehm showed a Möbius triangulation with no geometric realization. ► However, he did not characterize Möbius triangulations with geometric realizations. ► In this paper, we characterize Möbius triangulations with geometric realizations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Atsuhiro Nakamoto, Shoichi Tsuchiya,