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Asymptotically Efficient Triangulations of thed-Cube

โœ Scribed by David Orden; Francisco Santos


Publisher
Springer
Year
2003
Tongue
English
Weight
318 KB
Volume
30
Category
Article
ISSN
0179-5376

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๐Ÿ“œ SIMILAR VOLUMES


Minimal triangulation of the 4-cube
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It is known that the 4-dimensional cube can be triangulated by a set of 16 simplices. This note demonstrates that the 4-dimensional cube cannot be triangulated with fewer than 16 simpiices.

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In this paper we analyse a method for triangulating the sphere originally proposed by Baumgardner and Frederickson in 1985. The method is essentially a refinement procedure for arbitrary spherical triangles that fit into a hemisphere. Refinement is carried out by dividing each triangle into four by