Acute Triangulations of Flat Mobius Strips

Authors:
Liping Yuan;Tudor Zamfirescu
Affiliations:
College of Mathematics and Information Science, Hebei Normal University, 050016 Shijiazhuang, China;Department of Mathematics, Dortmund University, 44221 Dortmund, Germany
Venue:
Discrete & Computational Geometry
Year:
2007

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Abstract

In this paper we investigate the acute triangulations of flat Mobius strips. We find out that we can always triangulate a flat Mobius strip with at most nine acute triangles, and sometimes (but not always) that many triangles are really needed.