Tom M. Apostol and Mamikon A. Mnatsakanian, Topological treatment of Platonic, Archimedean, and related polyhedra,
Forum Geometricorum, 15 (2015) 243--251.

Abstract. Platonic and Archimedean polyhedra and generalizations are treated in a unified manner by a method that focuses on topological properties of networks on a sphere rather than metric properties regarding lengths of edges or measurement of angles. This approach reveals new insights into the structure of these polyhedra.

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