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The pentagrammic dipyramid is the dual polyhedron of the pentagrammic prism U_(78).

The dual polyhedron of the tetrahemihexahedron U_4 and Wenninger dual W_(67).

A polyhedron compound of the great icosahedron and its dual great stellated dodecahedron most easily constructed by adding the polyhedron vertices of the former to the latter.

The midsphere, also called the intersphere, reciprocating sphere, or inversion sphere, is a sphere with respect to which the polyhedron vertices of a polyhedron are the ...

The dual polyhedron of the rhombicosahedron U_(56) and Wenninger dual W_(96).

A polyhedron compound in which the great dodecahedron is interior to its dual small stellated dodecahedron.

The polyhedral formula generalized to a surface of genus g, V-E+F=chi(g) where V is the number of polyhedron vertices, E is the number of polyhedron edges, F is the number of ...

The radius rho of the midsphere of a polyhedron, also called the interradius. Let P be a point on the original polyhedron and P^' the corresponding point P on the dual. Then ...

The dual polyhedron of the small rhombidodecahedron and Wenninger model W_(74).

The total angular defect is the sum of the angular defects over all polyhedron vertices of a polyhedron, where the angular defect delta at a given polyhedron vertex is the ...