Orderable and Deformable Coxeter Hyperbolic Tetrahedrons with Finite Volume
Journal Title: International Journal of Computational Engineering and Management IJCEM - Year 2013, Vol 16, Issue 6
Abstract
In this article, we classified the 3-dimensional orderable and deformable Coxeter hyperbolic tetrahedrons with finite volume. Andreev’s states a necessary and sufficient condition for a hyperbolic polyhedron with finite volume. Choi’s theorem provides a necessary and sufficient condition for orderable and deformable Coxeter polyhedron. Using graph theory and combinatorics, we find that there are 13 orderable and deformable Coxeter hyperbolic tetrahedrons with finite volume up to symmetry.
Authors and Affiliations
Dhrubajit Choudhury
Keywords
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