an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic...
26 KB (2,764 words) - 20:47, 29 May 2024
The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for "eight-pointed star"), a name given...
12 KB (1,158 words) - 16:41, 18 March 2024
truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's vertices...
17 KB (1,516 words) - 09:06, 4 June 2024
Octahedron is the fifth full-length studio album by American progressive rock band the Mars Volta, released on June 23, 2009. The album was released by...
30 KB (3,181 words) - 22:47, 29 April 2024
Snub octahedron may refer to: Icosahedron, with pyritohedral symmetry, s { 3 , 4 } {\displaystyle s{\begin{Bmatrix}3,4\end{Bmatrix}}} , Snub cube, or snub...
611 bytes (67 words) - 15:33, 4 November 2014
In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated...
5 KB (501 words) - 16:08, 5 May 2024
stellated octahedron. The coordinates of the icosahedron are related to two alternated sets of coordinates of a nonuniform truncated octahedron, t{3,4}...
53 KB (5,528 words) - 16:41, 26 May 2024
Cuboctahedron (redirect from Cubo-octahedron)
jitterbug; this object can be progressively transformed into an icosahedron, octahedron, and tetrahedron by folding along the diagonals of its square sides. With...
19 KB (1,938 words) - 22:03, 9 June 2024
trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron...
19 KB (1,778 words) - 12:57, 17 May 2024
In geometry, a Bricard octahedron is a member of a family of flexible polyhedra constructed by Raoul Bricard in 1897. The overall shape of one of these...
10 KB (1,155 words) - 23:18, 10 June 2023
Disdyakis dodecahedron (redirect from Hexakis octahedron)
In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan...
10 KB (796 words) - 14:43, 4 May 2024
Truncated tetrakis cube (redirect from Hexakis truncated octahedron)
octahedron. It is constructed by a truncated octahedron with hexagonal pyramids augmented. Truncated triakis tetrahedron Truncated triakis octahedron...
2 KB (115 words) - 03:00, 26 December 2022
called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an alternated truncated octahedron. If all the...
11 KB (874 words) - 02:28, 16 February 2024
Chamfer (geometry) (redirect from Chamfered octahedron)
pyritohedron. This occurs in pyrite crystals. In geometry, the chamfered octahedron is a convex polyhedron constructed by truncating the 8 order-3 vertices...
25 KB (1,272 words) - 08:38, 2 June 2024
In geometry, a hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron. It has 4 triangular faces, 6 edges...
2 KB (159 words) - 06:44, 22 December 2023
The compound of cube and octahedron is a polyhedron which can be seen as either a polyhedral stellation or a compound. The 14 Cartesian coordinates of...
4 KB (208 words) - 03:39, 22 May 2024
atom, defining the vertices of an octahedron. The octahedron has eight faces, hence the prefix octa. The octahedron is one of the Platonic solids, although...
15 KB (1,554 words) - 05:25, 31 October 2023
The truncated triakis octahedron, or more precisely an order-8 truncated triakis octahedron, is a convex polyhedron with 30 faces: 8 sets of 3 pentagons...
2 KB (112 words) - 03:28, 20 September 2021
In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices. A related construction...
6 KB (536 words) - 03:14, 29 January 2023
Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular...
8 KB (445 words) - 19:32, 17 January 2024
Regular polyhedron (redirect from Petrial octahedron)
The tetrahedron is self-dual, i.e. it pairs with itself. The cube and octahedron are dual to each other. The icosahedron and dodecahedron are dual to each...
32 KB (3,118 words) - 14:26, 10 April 2024
Rhombicuboctahedron (redirect from Cantellated octahedron)
octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded cube. This is because the rhombicuboctahedron may also be...
22 KB (2,147 words) - 02:19, 15 June 2024
Cubic-octahedral honeycomb (redirect from Cube-octahedron honeycomb)
cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from cube, octahedron, and cuboctahedron cells, in a rhombicuboctahedron vertex figure. It has...
13 KB (588 words) - 00:56, 22 January 2024
Elongated dodecahedron (redirect from Contracted truncated octahedron)
dodecahedron can be constructed as a contraction of a uniform truncated octahedron, where square faces are reduced to single edges and regular hexagonal...
4 KB (334 words) - 13:38, 25 December 2022
The Mars Volta (section Octahedron (2009–2010))
2009 for Best Hard Rock Performance. The band released its fifth album, Octahedron, in June 2009. Following the release of their sixth album, Noctourniquet...
81 KB (7,603 words) - 15:23, 26 May 2024
Compound of three octahedra (redirect from Octahedron 3-compound)
In mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common...
10 KB (1,207 words) - 18:24, 15 May 2022
8 (section Cube and octahedron)
honeycombs under the cubic group C ~ 3 {\displaystyle {\tilde {C}}_{3}} . The octahedron, with eight equilateral triangles as faces, is the dual polyhedron to...
75 KB (8,078 words) - 13:55, 15 June 2024
Diminished trapezohedron (redirect from Augmented octahedron)
triangles. The last can be seen by augmenting a regular tetrahedron and an octahedron, leaving 10 equilateral triangle faces, and then merging 3 sets of coparallel...
8 KB (338 words) - 20:15, 4 November 2023
Compound of five octahedra (redirect from Octahedron 5-compound)
The compound of five octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund...
6 KB (369 words) - 20:39, 24 February 2024
Gyrobifastigium (redirect from Self-dual octahedron)
faces capable of space-filling (the others being the cube, truncated octahedron, triangular prism, and hexagonal prism) and it is the only Johnson solid...
8 KB (807 words) - 07:18, 17 March 2024