icosahedron's Usage Examples:

In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces.

In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose 32 faces are two or more types of.

In geometry, a regular icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

It can also be called an expanded or cantellated dodecahedron or icosahedron, from truncation operations on either uniform polyhedron.

In geometry, edgified penta-stellahedron or great icosahedron is one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol.

The dual polyhedron is the regular icosahedron {3, 5}, having five equilateral triangles around each vertex.

cube, and dodecahedron and that the discovery of the octahedron and icosahedron belong to Theaetetus, a contemporary of Plato.

In geometry, the triakis icosahedron (or kisicosahedron) is an Archimedean dual solid, or a Catalan solid.

arrangement as the convex regular icosahedron.

It also shares the same edge arrangement with the great icosahedron, with which it forms a degenerate uniform.

perhaps only one has been found to be a true icosahedron, as opposed to a reinterpretation of the icosahedron dual, the dodecahedron.

In geometry, the metabidiminished icosahedron is one of the Johnson solids (J62).

In geometry, the edgified icosahedron or great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of.

In geometry, the tridiminished icosahedron is one of the Johnson solids (J63).

In geometry, the augmented tridiminished icosahedron is one of the Johnson solids (J64).

pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids.

noting it could be derived equally from either the dodecahedron or the icosahedron, called it snub icosidodecahedron, with a vertical extended Schläfli.

In geometry, tri-stellahedron, kis-icosahedron, or great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {5⁄2,3}.

In geometry, a disdyakis triacontahedron, hexakis icosahedron, decakis dodecahedron or kisrhombic triacontahedron is a Catalan solid with 120 faces and.

are the vertices of a regular icosahedron.

Its dual regular dodecahedron, whose edges intersect those of the icosahedron at right angles, has as vertices.

Synonyms:

polyhedron;