Journal of Mathematics and Statistics

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

F. Tonon

DOI : 10.3844/jmssp.2005.8.11

Journal of Mathematics and Statistics

Volume 1, 2005

Pages 8-11


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.


© 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.