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The 8T-LE partition applied to the obtuse triangulations of the 3D-cube

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  • Padrón, Miguel A.
  • Plaza, Ángel

Abstract

Four of the six types of the regular triangulations of the 3D-cube, up to isomorphism, are obtuse. We study the eight-tetrahedra longest-edge partition (8T-LE) of the triangulations of the cube containing two regular right-type tetrahedra, two regular trirectangular tetrahedra and two quasi right-type tetrahedra.

Suggested Citation

  • Padrón, Miguel A. & Plaza, Ángel, 2020. "The 8T-LE partition applied to the obtuse triangulations of the 3D-cube," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 254-265.
    • Handle: RePEc:eee:matcom:v:176:y:2020:i:c:p:254-265
    DOI: 10.1016/j.matcom.2020.01.011
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    Cited by:

    1. Miguel A. Padrón & Ángel Plaza & José Pablo Suárez, 2023. "Similarity Classes in the Eight-Tetrahedron Longest-Edge Partition of a Regular Tetrahedron," Mathematics, MDPI, vol. 11(21), pages 1-13, October.

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