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The pentagrammic concave deltohedron (Har'El 1993) is the dual polyhedron of the pentagrammic crossed antiprism U_(80). It is perhaps more commonly known as the pentagrammic ...

The Schmitt-Conway biprism is a convex polyhedron found to be only aperiodically space-filling by Conway in 1993.

The dual polyhedron of the small dodecahemicosahedron U_(62) and Wenninger dual W_(100). When rendered, the small dodecahemicosacron and great dodecahemicosacron appear the ...

The dual polyhedron of the small dodecahemidodecahedron U_(51) and Wenninger dual W_(91). When rendered, the small icosihemidodecacron and small dodecahemidodecacron appear ...

The dual polyhedron of the small icosihemidodecahedron U_(49) and Wenninger dual W_(89). When rendered, the small icosihemidodecacron and small dodecahemidodecacron appear ...

The term rectification is sometimes used to refer to the determination of the length of a curve. Rectification also refers to the operation which converts the midpoints of ...

A standard form of the linear programming problem of maximizing a linear function over a convex polyhedron is to maximize c·x subject to mx<=b and x>=0, where m is a given ...

Define the Euler measure of a polyhedral set as the Euler integral of its indicator function. It is easy to show by induction that the Euler measure of a closed bounded ...

Expansion is an affine transformation (sometimes called an enlargement or dilation) in which the scale is increased. It is the opposite of a geometric contraction, and is ...

The regular icosahedron (often simply called "the" icosahedron) is the regular polyhedron and Platonic solid illustrated above having 12 polyhedron vertices, 30 polyhedron ...