ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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A polyhedron of genus p is harmonic if the number of its faces vertices is the harmonic mean of its numbers of its edges and vertices faces . The determination of all permissible combinations of numbers of vertices, edges, and faces is reduced to solution of Pells equation. Realizations of all such polyhedra with p 1 are described, as well as for all negative p with large enough numbers of edges.
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