Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes

Abstract

Hamiltonian cycles on the edge graphs of the regular polytopes in three and four dimensions are investigated with the primary goal of finding complete multi-colored coverages of all the edges in the graph. The concept of a Hamiltonian path is then extended to the notion of Hamiltonian twomanifolds that visit all the given edges exactly once. For instance… (More)

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