- icosahedral group
- Математика: группа икосаэдра
Универсальный англо-русский словарь. Академик.ру. 2011.
icosahedral group
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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
Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… … Wikipedia
Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… … Wikipedia
Icosahedral honeycomb — Poincaré disk model Type regular hyperbolic honeycomb Schläfli symbol {3,5,3} Coxeter Dynkin diagram … 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
Superperfect group — In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial.The first homology group of a group is the abelianization of the group itself, since the homology of a group G is the… … Wikipedia
Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 … 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
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
Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry … 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
