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Category:Self-dual polyhedra

Polyhedra for which the dual polyhedron is the same figure.

Instead of: "is the same figure" should be: "is a congruent figure"

Um, are there any non-pyramids that are self-dual? If not, this category is silly and should be deleted.

Sure there are. One infinite family consists of polyhedra that can be described as a pyramid sitting on top of a prism (with the same number of sides). There are many other convex, self-dual polyhedra. For example, there are 6 different ones with 7 vertices, and 16 with 8 vertices. See B. Grünbaum, "Convex Polytopes", Springer, New York 2003, page 48.


Articles in category "Self-dual polyhedra"

There are 2 articles in this category.

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01-04-2007 01:16:19
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