In geometry , an
octahedron (plural: octahedra) is a polyhedron with eight faces. A regular
octahedron is a Platonic solid composed of
Kaynak: OctahedronA regular
octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that
Kaynak: Octahedral symmetrycompounds wherein six atoms or groups of atoms or ligand s are symmetrically arranged around a central atom, defining the vertices of an
octahedron.
Kaynak: Octahedral molecular geometryThe compounds consist of an
octahedron of metals with strong M-M bonding. Each face of the
octahedron is face-capped with chloride and
Kaynak: Octahedral clusterIn geometry , the truncated
octahedron is an Archimedean solid . It has 14 faces (8 regular hexagon al and 6 square ), 36 edges, and 24
Kaynak: Truncated octahedronIn geometry , a triakis
octahedron is an Archimedean dual solid, or a Catalan solid . Its dual is the truncated cube . as an
octahedronKaynak: Triakis octahedronThe stellated
octahedron, or stella octangula, is the only stellation of the
octahedron . It was named by Johannes Kepler in 1609,
Kaynak: Stellated octahedronA hemi-
octahedron is an abstract regular polyhedron , containing half the faces of a regular
octahedron . It has 4 triangular faces, 6
Kaynak: Hemi-octahedronIn geometry , the great triakis
octahedron is the dual of the stellated truncated hexahedron (U 19). It has 24 intersecting isosceles
Kaynak: Great triakis octahedronWith the addition of 6 vertices of the
octahedron , these vertices represent the 18 root vectors of the simple Lie group B 3.
Kaynak: Cuboctahedronwhich is a rectification of the cube and the
octahedron, and the icosidodecahedron , which is a rectification of the dodecahedron and the
Kaynak: Platonic solidIt can be seen as the compound of an
octahedron and a cube . It is one of four compounds constructed from a Platonic solid or Kepler-
Kaynak: Compound of cube and octahedronThe polyhedron has octahedral symmetry , like the cube and
octahedron . Its dual is called the deltoidal icositetrahedron or
Kaynak: RhombicuboctahedronIf the original cube has edge length 1, its dual polyhedron (an
octahedron ) has edge length scriptstyle sqrt 2. The cube is a special
Kaynak: CubeIn geometry , a disdyakis dodecahedron, or hexakis
octahedron, is a Catalan solid and the dual to the Archimedean truncated
Kaynak: Disdyakis dodecahedronIn mathematics, the compound of three octahedra or
octahedron 3-compound is a polyhedral compound formed from three regular octahedra ,
Kaynak: Compound of three octahedra