Open AccessExplicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates
Author(s) -
Fulvio To
Publication year - 2005
Publication title -
journal of mathematics and statistics
Language(s) - English
Resource type - Journals
eISSN - 1558-6359
pISSN - 1549-3644
DOI - 10.3844/jmssp.2005.8.11
Subject(s) - mathematics , tetrahedron , vertex (graph theory) , inertia , tensor (intrinsic definition) , pure mathematics , geometry , combinatorics , classical mechanics , graph , physics
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