Acute Triangulations of the Cuboctahedral Surface

In this paper we prove that the surface of the cuboctahedron can be triangulated into 8 non-obtuse triangles and 12 acute triangles. Furthermore, we show that both bounds are the best possible.

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Bibliographic Details
Published inComputational Geometry, Graphs and Applications Vol. 7033; pp. 73 - 83
Main Authors Feng, Xiao, Yuan, Liping
Format Book Chapter
LanguageEnglish
Published Germany Springer Berlin / Heidelberg 2011
Springer Berlin Heidelberg
SeriesLecture Notes in Computer Science
Subjects
Adjacent Pair
Adjacent Vertex
Algorithms & data structures
Discrete mathematics
Geodesic Triangle
Graphics programming
Polyhedral Surface
Triangular Face
Online AccessGet full text
ISBN9783642249822
3642249825
ISSN0302-9743
1611-3349
DOI10.1007/978-3-642-24983-9_8

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Summary:In this paper we prove that the surface of the cuboctahedron can be triangulated into 8 non-obtuse triangles and 12 acute triangles. Furthermore, we show that both bounds are the best possible.
ISBN:9783642249822
3642249825
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-642-24983-9_8