- octahedral group
- мат.группа октаэдра
English-Russian scientific dictionary. 2008.
octahedral group
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Binary octahedral group — In mathematics, the binary octahedral group is an extension of the octahedral group O of order 24 by a cyclic group of order 2. It can be defined as the preimage of the octahedral group under the 2:1 covering homomorphism:mathrm{Sp}(1) o… … Wikipedia
Octahedral symmetry — The cube is the most common shape with octahedral symmetry A regular octahedron has 24 rotational (or orientation preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation. A cube has… … Wikipedia
Octahedral molecular geometry — Idealized structure of a compound with octahedral coordination geometry. In chemistry, octahedral molecular geometry describes the shape of compounds where in six atoms or groups of atoms or ligands are symmetrically arranged around a central… … Wikipedia
Octahedral cluster — Octahedral clusters are inorganic or organometallic cluster compounds composed of six metals in an octahedral array.[1] One important class of octahedral clusters are chalcohalide clusters of the type M … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Dicyclic group — In group theory, a dicyclic group (notation Dicn) is a member of a class of non abelian groups of order 4n (n > 1). It is an extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di cyclic. In the… … Wikipedia
Binary icosahedral group — In mathematics, the binary icosahedral group is an extension of the icosahedral group I of order 60 by a cyclic group of order 2. It can be defined as the preimage of the icosahedral group under the 2:1 covering homomorphism:mathrm{Sp}(1) o… … Wikipedia
Binary tetrahedral group — In mathematics, the binary tetrahedral group is an extension of the tetrahedral group T of order 12 by a cyclic group of order 2.It is the binary polyhedral group corresponding to the tetrahedral group, and as such can be defined as the preimage… … Wikipedia
Binary cyclic group — In mathematics, the binary cyclic group of the n gon is the cyclic group of order 2 n , C {2n}, thought of as a extension of the cyclic group C n a cyclic group of order 2.It is the binary polyhedral group corresponding to the cyclic group.ee… … Wikipedia
Truncated octahedral prism — Schlegel diagram Type Prismatic uniform polychoron Uniform index 54 Schläfli symbol t0,1{3,4}×{} t0,1,2{3,3}×{} … Wikipedia
Dihedral group — This snowflake has the dihedral symmetry of a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections.[1] Dihedr … Wikipedia
