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Octahedron - Wikipedia
In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur in nature as crystal structures. Many types of irregular … See more
A regular octahedron is an octahedron that is a regular polyhedron. All the faces of a regular octahedron are equilateral triangles of … See more
Octahedra in nature
• Natural crystals of diamond, alum or fluorite are commonly octahedral, as the space-filling tetrahedral-octahedral honeycomb See moreAn octahedron can be any polyhedron with eight faces. In a previous example, the regular octahedron has 6 vertices and 12 edges, the minimum … See more
Wikipedia text under CC-BY-SA license Octahedron - Simple English Wikipedia, the free encyclopedia
Dec 31, 2007 · There are five octahedra that define any given icosahedron in this fashion, and together they define a regular compound. Octahedra and tetrahedra can be alternated to form …
- Image(Face coloring): (1111)
- Symmetry: O h, [4,3], (*432)
- Schläfli symbol: {3,4}
- Wythoff symbol: 4 | 3 2
Octahedral molecular geometry - Wikipedia
Pairs of octahedra can be fused in a way that preserves the octahedral coordination geometry by replacing terminal ligands with bridging ligands. Two motifs for fusing octahedra are common: edge-sharing and face-sharing. Edge- and face-shared bioctahedra have the formulas [M2L8(μ-L)]2 and M2L6(μ-L)3, respectively. Polymeric versions of the same linking pattern give the stoichiometries [ML2(μ-L)2]∞ and [M(μ-L)3]∞, respectively.
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Octahedral symmetry - Wikipedia
Chiral and full (or achiral) octahedral symmetry are the discrete point symmetries (or equivalently, symmetries on the sphere) with the largest symmetry groups …
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Octahedral vs Octahedron - What's the difference? - WikiDiff
Octahedral vs Octahedron - What's the difference? Octahedron is a related term of octahedral. is having eight plane surfaces; thus, in the shape or form of an octahedron. a polyhedron with …
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Regular Octahedron -- from Wolfram MathWorld
The regular octahedron, often simply called "the" octahedron, is the Platonic solid with six polyhedron vertices, 12 polyhedron edges, and eight equivalent equilateral triangular faces, denoted . It is illustrated above together with a …
octahedron - Wiktionary, the free dictionary
octahedron (plural octahedra or octahedrons) (geometry) a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.
Compound of five octahedra - Wikipedia
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 Hess in 1876. It is unique among the …
Octahedron - Polytope Wiki
The octahedron, or oct, is one of the five Platonic solids. It consists of 8 equilateral triangles, joined 4 to a square vertex. It is the 3 dimensional orthoplex. It also has 3 square pseudofaces. In fact, it can be built by joining two square …
Octahedron - Wikiwand
In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. …
Octahedron - Encyclopedia of Mathematics
Jul 30, 2014 · A solid figure having eight triangular faces, twelve edges and six vertices, with 4 faces at each vertex. If all edges have the same length, it is one of the five regular polyhedra (Platonic solids); if the edge length is $a$, then the …
Octahedron | Math Wiki | Fandom
An octahedron (plural: octahedra) is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. The …
Octahedron - Wikiwand
There are five octahedra that define any given icosahedron in this fashion, and together they define a regular compound. Octahedra and tetrahedra can be alternated to form a vertex, …
Compound of three octahedra - Wikipedia
In mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common center but rotated with …
Octahedron - wikidoc
Template:Reg polyhedra db An octahedron (plural: octahedra) is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which …
Octahedral number - Wikipedia
In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The n th octahedral number can …
Octahedron ~ Detailed Information | Photos | Videos - Alchetron
Sep 22, 2024 · In geometry, an octahedron (plural octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. A regular octahedron is a Platonic solid composed of eight …
Tetrahedral-octahedral honeycomb - Wikipedia
The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space.It is composed of alternating regular …
Octahedral pyramid - Wikipedia
In 4-dimensional geometry, the octahedral pyramid is bounded by one octahedron on the base and 8 triangular pyramid cells which meet at the apex. Since an octahedron has a …
Octahedral prism - Wikipedia
In geometry, an octahedral prism is a convex uniform 4-polytope. This 4-polytope has 10 polyhedral cells: 2 octahedra connected by 8 triangular prisms. It is a Hanner polytope with …
24-cell - Wikipedia
Net. In four-dimensional geometry, the 24-cell is the convex regular 4-polytope [1] (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}. It is also called C 24, or …
Binary octahedral group - Wikipedia
In mathematics, the binary octahedral group, name as 2O or 2,3,4 [1] is a certain nonabelian group of order 48. It is an extension of the chiral octahedral group O or (2,3,4) of order 24 by a …
Geodesic polyhedron - Wikipedia
In Magnus Wenninger's Spherical models, polyhedra are given geodesic notation in the form {3,q+} b,c, where {3,q} is the Schläfli symbol for the regular polyhedron with triangular faces, …
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