Complete Set of CHC Tetrahedrons

In this article, using K. W. Roeder’s Theorem, some properties of CHC (compact hyperbolic coxeter) tetrahedrons have been developed which are facilitated by the link of graph theory and combinatorics, and it has been found that there are exactly 3 CHC tetrahedrons upto symmetry. General Terms Three Dimensional Polytope, Hyperbolic Space, Roland K. W. Roeder Theorem.