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Dürer's solid, also known as the truncated triangular trapezohedron, is the 8-faced solid depicted in an engraving entitled Melencolia I by Albrecht Dürer (The British ...

A n-gonal cupola adjoined to a 2n-gonal prism.

Johnson solid J_(16).

Johnson solid J_(41).

A pentagonal rotunda adjoined to a decagonal prism which is Johnson solid J_(21).

An n-gonal pyramid adjoined to an n-gonal prism.

Johnson solid J_(19).

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 ...

Generally, a face is a component polygon, polyhedron, or polytope. A two-dimensional face thus has vertices and edges, and can be used to make cells. More formally, a face is ...