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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates

F. Tonon

Abstract

The inertia tensor of a tetrahedron is composed of its moments of inertia. This study presents explicit exact formulas for the moments of inertia of a 3-D tetrahedron as simple polynomials of its vertex coordinates.

Journal of Mathematics and Statistics
Volume 1 No. 1, 2005, 8-11

DOI: https://doi.org/10.3844/jmssp.2005.8.11

Published On: 31 March 2005

How to Cite: Tonon, F. (2005). Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates. Journal of Mathematics and Statistics, 1(1), 8-11. https://doi.org/10.3844/jmssp.2005.8.11

Open AccessCopyright: © 2005 F. Tonon. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Inertia tensor
  • inertia moments
  • tetrahedron