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Convex Polyhedron

A Polyhedron for which a line connecting any two (noncoplanar) points on the surface always lies in the interior of the polyhedron. The 92 convex polyhedra having only Regular Polygons as faces are called the Johnson Solids, which include the Platonic Solids and Archimedean Solids. No method is known for computing the Volume of a general convex polyhedron (Ogilvy 1990, p. 173).

See also Archimedean Solid, Deltahedron, Johnson Solid, Kepler-Poinsot Solid, Platonic Solid, Regular Polygon


Ogilvy, C. S. Excursions in Geometry. New York: Dover, 1990.

© 1996-9 Eric W. Weisstein