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Using a set of corners of a solid that lie in a plane to form the polygon vertices of a new polygon is called faceting. Such polygons may outline new faces that join to ...

The dual of the great dodecahemicosahedron U_(65) and Wenninger dual W_(102). When rendered, the small dodecahemicosacron and great dodecahemicosacron appear the same.

The dual of the great dodecahemidodecahedron U_(70) and Wenninger dual W_(107). When rendered, the great dodecahemidodecacron and great icosihemidodecacron look the same, ...

The dual of the great icosihemidodecahedron U_(71) and Wenninger dual W_(106). When rendered, the great dodecahemidodecacron and great icosihemidodecacron look the same, both ...

800 The dual of the great rhombidodecahedron U_(73) and Wenninger dual W_(109).

A negative-height (inward-pointing) pyramid used in augmentation. The term was introduced by B. Grünbaum.

A planar graph corresponding to polyhedra skeletons. The polyhedral graphs are special cases.

The square antiprism is the antiprism with square bases whose dual is the tetragonal trapezohedron. The square antiprism has 10 faces. The square antiprism with unit edge ...

Reciprocation is an incidence-preserving transformation in which points are transformed into their polars. A projective geometry-like duality principle holds for ...

The insphere of a solid is a sphere that is tangent to all faces of the solid. An insphere does not always exist, but when it does, its radius r is called the inradius and ...