A dihedral acute triangulation of the cube

Evan Vanderzee; Anil N. Hirani; Vadim Zharnitsky; Damrong Guoy

doi:10.1016/j.comgeo.2009.09.001

A dihedral acute triangulation of the cube

Evan Vanderzee, Anil N. Hirani, Vadim Zharnitsky, Damrong Guoy

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the triangulation are discussed.

Original language	English (US)
Pages (from-to)	445-452
Number of pages	8
Journal	Computational Geometry: Theory and Applications
Volume	43
Issue number	5
DOIs	https://doi.org/10.1016/j.comgeo.2009.09.001
State	Published - Jul 2010

Keywords

Cube
Dihedral acute
Meshing
Triangulation

ASJC Scopus subject areas

Computer Science Applications
Geometry and Topology
Control and Optimization
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.comgeo.2009.09.001

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title = "A dihedral acute triangulation of the cube",

abstract = "It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the triangulation are discussed.",

keywords = "Cube, Dihedral acute, Meshing, Triangulation",

author = "Evan Vanderzee and Hirani, {Anil N.} and Vadim Zharnitsky and Damrong Guoy",

note = "Funding Information: The authors thank Edgar Ramos for helpful discussions. The work of Anil N. Hirani and Evan VanderZee was supported by an NSF CAREER Award (Grant No. DMS-0645604). Vadim Zharnitsky was partially supported by NSF grant DMS 08-07897.",

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AU - Vanderzee, Evan

AU - Hirani, Anil N.

AU - Zharnitsky, Vadim

AU - Guoy, Damrong

N1 - Funding Information: The authors thank Edgar Ramos for helpful discussions. The work of Anil N. Hirani and Evan VanderZee was supported by an NSF CAREER Award (Grant No. DMS-0645604). Vadim Zharnitsky was partially supported by NSF grant DMS 08-07897.

PY - 2010/7

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N2 - It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the triangulation are discussed.

AB - It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the triangulation are discussed.

KW - Cube

KW - Dihedral acute

KW - Meshing

KW - Triangulation

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JO - Computational Geometry: Theory and Applications

JF - Computational Geometry: Theory and Applications

IS - 5

ER -

A dihedral acute triangulation of the cube

Abstract

Keywords

ASJC Scopus subject areas

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