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The Sphere with respect to which the Vertices of a Polyhedron are the poles of the planes of the faces of the Dual Polyhedron (and vice versa). It touches all Edges of a Semiregular Polyhedron or Regular Polyhedron. It is also called the Intersphere or Reciprocating Sphere.

See also Circumsphere, Dual Polyhedron, Insphere

© 1996-9 Eric W. Weisstein