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The dual polyhedron of the small dodecicosidodecahedron U_(33) and Wenninger dual W_(72).

The dual polyhedron of the small cubicuboctahedron U_(13) and Wenninger dual W_(69).

The dual polyhedron of the small icosicosidodecahedron U_(31) and Wenninger dual W_(71).

The dual polyhedron of the small rhombihexahedron U_(18) and Wenninger dual W_(86)

The dual polyhedron of the truncated great dodecahedron U_(37) and Wenninger dual W_(75).

The dual polyhedron of the cubitruncated cuboctahedron U_(16) and Wenninger dual W_(79).

The dual polyhedron of the icositruncated dodecadodecahedron U_(45) and Wenninger dual W_(84).

The line segment connecting opposite polyhedron vertices (i.e., two polyhedron vertices which do not share a common face) in a parallelepiped or other similar solid. Also ...

A formula relating the number of polyhedron vertices V, faces F, and polyhedron edges E of a simply connected (i.e., genus 0) polyhedron (or polygon). It was discovered ...

The dual polyhedron of the small ditrigonal dodecicosidodecahedron U_(43) and Wenninger dual W_(82).