• THE P10-2 TYPE ODCH COXETER POLYHEDRA

Dhrubajit Choudhury*

Abstract


We classified the combinatorial structures of 3-dimensional bounded ODCH (orderable and deformable compact hyperbolic) Coxeter polyhedra up to symmetry. Using Plantri graphs and graph theory, we proved that the number of such combinatorial polyhedrons is five. One of such combinatorial polyhedra is P10-2 which has 10 vertices. Using graph theory, we find that there are seven orderable and deformable compact hyperbolic polyhedra P10-2 up to symmetry.


Keywords


Planner graph, Orbifold, Coxeter polyhedron, Hyperbolic space.

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