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An icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, one of the quasi-regular polyhedra. Download high resolution version (841x861, 76 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
In algebraic topology, the Euler characteristic is a topological invariant (in fact, homotopy invariant) defined for a broad class of topological spaces. ...
In mathematics, the Schläfli symbol is a simple notation that gives a summary of some important properties of a particular regular polytope. ...
In geometry, a Wythoff construction is a method for constructing a uniform polyhedron. ...
// List of symmetry groups on the sphere Spherical symmetry groups are also called point groups (in 3D). ...
A uniform polyhedron is a polyhedron with regular polygons as faces and identical vertices. ...
Harold Scott MacDonald Donald Coxeter (February 9, 1907 - March 31, 2003) is regarded as one of the great geometers of the 20th century. ...
This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus J. Wenninger. ...
The Bowers style acronym or pet names are a short notation for refering to uniform polyhedron devised by Jonathan Bowers. ...
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ...
The Rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. ...
Image File history File links Icosidodecahedron_vertfig. ...
In polyhedral geometry a vertex configuration is a short-hand notation for representing a vertex as the sequence of faces around a vertex. ...
This article is about the geometric shape. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
 Image File history File links Icosidodecahedron_flat. ...
An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Canonical coordinates for the vertices of an icosidodecahedron are the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the golden ratio, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids. Stellation is a process of constructing new polygons (in two dimensions), new polyhedra in three dimensions, or in general new polytopes in n dimensions. ...
A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...
An icosahedron [ËŒaıkÉ™sÉ™hiËdrÉ™n] noun (plural: -drons, -dra [-drÉ™]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...
A cyclic permutation is a permutation that shifts all elements of given ordered set by a fixed offset, with the elements shifted off the end inserted back at the beginning in the same order, i. ...
The golden ratio, also known as the golden proportion, golden mean, golden section, golden number, divine proportion or sectio divina, is an irrational number, approximately 1. ...
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ...
The Rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. ...
In geometry, the Pentagonal rotunda is one of the Johnson solids (J6). ...
The elongated square gyrobicupola (J37), a Johnson solid In geometry, a Johnson solid is a convex polyhedron, each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism, or antiprism. ...
In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a pentagonal gyrobirotunda. The elongated square gyrobicupola (J37), a Johnson solid In geometry, a Johnson solid is a convex polyhedron, each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism, or antiprism. ...
Related polyhedra
The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron. In Euclidean geometry, rectification is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points. ...
A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...
An icosahedron [ËŒaıkÉ™sÉ™hiËdrÉ™n] noun (plural: -drons, -dra [-drÉ™]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...
Compare:
Download high resolution version (847x829, 63 KB)Dodecahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (847x829, 63 KB)Dodecahedron, made by me using POV-Ray, see image:poly. ...
A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...
Download high resolution version (876x802, 67 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (876x802, 67 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
The truncated dodecahedron is an Archimedean solid. ...
Download high resolution version (841x861, 76 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (841x861, 76 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (878x874, 80 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (878x874, 80 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
The truncated icosahedron is an Archimedean solid. ...
Download high resolution version (819x791, 71 KB)Icosahedron, made by me using POV-Ray, see image:poly. ...
Download high resolution version (819x791, 71 KB)Icosahedron, made by me using POV-Ray, see image:poly. ...
An icosahedron [ËŒaıkÉ™sÉ™hiËdrÉ™n] noun (plural: -drons, -dra [-drÉ™]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...
See also A cuboctahedron is a polyhedron with eight triangular faces and six square faces. ...
A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...
In geometry, the great truncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U68. ...
An icosahedron [ËŒaıkÉ™sÉ™hiËdrÉ™n] noun (plural: -drons, -dra [-drÉ™]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...
The rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid. ...
The truncated icosidodecahedron, or great rhombicosidodecahedron, is an Archimedean solid. ...
External links - The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
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