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in each polyhedron there exist two faces with the same number of edges

Source: ITAMO 1998 p2 - Bundeswettbewerb Mathematik 1975 R1 p2

January 25, 2020
combinatorial geometrypolyhedron3D geometryedgegeometry

Problem Statement

Prove that in each polyhedron there exist two faces with the same number of edges.
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