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
Solids 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 … Wikipedia
icosahedral — 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]… … Medical dictionary
Tetrahedral 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 … Wikipedia
List 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:… … 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
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
Molecular 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… … Wikipedia
binal symmetry — The symmetry of some virus capsids (e.g., those of complex phages) that is a combination of icosahedral and helical symmetry … Dictionary of microbiology
Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… … Wikipedia