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...
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truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's vertices...
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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...
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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...
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In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated...
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stellated octahedron. The coordinates of the icosahedron are related to two alternated sets of coordinates of a nonuniform truncated octahedron, t{3,4}...
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Snub octahedron may refer to: Icosahedron, with pyritohedral symmetry, s { 3 , 4 } {\displaystyle s{\begin{Bmatrix}3,4\end{Bmatrix}}} , Snub cube, or snub...
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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...
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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...
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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...
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called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an alternated truncated octahedron. If all the...
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Disdyakis dodecahedron (redirect from Hexakis octahedron)
In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan...
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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...
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trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron...
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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...
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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...
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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...
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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...
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Cuboctahedron (redirect from Cubo-octahedron)
gyrobicupola. Its construction can be started from a cube or a regular octahedron, marking the midpoints of their edges, and cutting off all the vertices...
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Compound of twenty octahedra (redirect from Octahedron 20-compound)
The compound of twenty octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 20 octahedra (considered as triangular antiprisms)...
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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...
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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...
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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...
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In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices. A related construction...
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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...
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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...
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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...
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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...
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of the regular icosahedron, the Jessen's icosahedron, and the regular octahedron, in accordance with the pyritohedral symmetry of the icosahedron. When...
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Truncated tesseract (section Centered on octahedron)
envelope is a truncated octahedron. The 6 square faces of the envelope are the images of 6 of the octahedral cells. An octahedron lies at the center of...
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