Compact hyperbolic coxeter thin cubes

Pranab Kalita, Bichitra Kalita


Andreev’s Theorem provides a complete characterization of 3-dimensional compact hyperbolic combinatorial polytope having non-obtuse dihedral angles. Cube is one of such polytope. In this article, with the help of Andreev’s Theorem, a special type of compact hyperbolic coxeter cube, called thin cube has been studied. Using graph theory and combinatorics, it has been found that there are exactly 3 such cubes in hyperbolic space upto symmetry.

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Published: 2014-08-29

How to Cite this Article:

Pranab Kalita, Bichitra Kalita, Compact hyperbolic coxeter thin cubes, Engineering Mathematics Letters, Vol 2014 (2014), Article ID 18

Copyright © 2014 Pranab Kalita, Bichitra Kalita. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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