icosahedral symmetry
1Icosahedral 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… …
2icosahedral symmetry — an arrangement of viral subunits in which the structure of the viral capsid is characterized by symmetry having the rotation axes of a regular polygon with 20 triangular surfaces (icosahedron); each face contains several subunits, the total… …
3Solids with icosahedral symmetry — olids with full icosahedral symmetry (For details see below.) Platonic solids regular polyhedra (all faces of the same type) {5,3} {3,5}Archimedean solids polyhedra with more than one polygon face type. 3.10.10 4.6.10 5.6.6 3.4.5.4 3.5.3.5Catalan …
4icosahedral — Having 20 equilateral triangular surfaces and 12 vertices, as do most viruses with cubic symmetry. [G. eikosi, twenty, + edros, having sides or bases] * * * ico·sa·he·dral (i″ko sə heґdrəl) [Gr. eikosi twenty + hedra seat]… …
5Tetrahedral symmetry — A regular tetrahedron has 12 rotational (or orientation preserving) symmetries, and a total of 24 symmetries including transformations that combine a reflection and a rotation.The group of symmetries that includes reflections is isomorphic to S 4 …
6List of spherical symmetry groups — List of symmetry groups on the sphere = Spherical symmetry groups are also called point groups in three dimensions. This article is about the finite ones.There are four fundamental symmetry classes which have triangular fundamental domains:… …
7Octahedral 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… …
8Binary 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… …
9Molecular symmetry — in chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in chemistry, as it can predict or explain many of a molecule s chemical… …
10binal symmetry — The symmetry of some virus capsids (e.g., those of complex phages) that is a combination of icosahedral and helical symmetry …
