Can Every Face of a Polyhedron Have Many Sides?

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Can Every Face of a Polyhedron Have Many Sides?

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Title: Can Every Face of a Polyhedron Have Many Sides?
Author: Grünbaum, Branko
Abstract: The simple question of the title has many different answers, depending on the kinds of faces we are willing to consider, on the types of polyhedra we admit, and on the symmetries we require. Known results and open problems about this topic are presented.
URI: http://hdl.handle.net/1773/4593

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