object has icosahedral symmetry if it has the same symmetries as a regular icosahedron. Examples of other polyhedra with icosahedral symmetry include the...

tentacles and octameric radial symmetry. The octopus, however, has bilateral symmetry, despite its eight arms. Icosahedral symmetry occurs in an organism which...

faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex variety...

use of the theory of icosahedral symmetries to derive an analytical solution to the general quintic equation. The full symmetry group of the icosahedron...

material may be challenged and removed. Find sources: "Solids with icosahedral symmetry" – news · newspapers · books · scholar · JSTOR (June 2019) (Learn...

Observed in a rapidly solidified Al-Mn alloy, quasicrystals exhibited icosahedral symmetry, which was previously thought impossible in crystallography. This...

constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. Some dodecahedra have the same combinatorial structure...

polygonal faces meet in a vertex. It has the same symmetry as the regular icosahedron, the icosahedral symmetry, and it also has the property of vertex-transitivity...

fundamental domains: dihedral, cyclic, tetrahedral, octahedral, and icosahedral symmetry. This article lists the groups by Schoenflies notation, Coxeter notation...

Icosahedron colored as a snub tetrahedron has chiral symmetry. Octahedral symmetry Icosahedral symmetry Binary tetrahedral group Koca et al. 2016. Peter R...

Tetrahedral symmetry (3 3 2) – order 24 Octahedral symmetry (4 3 2) – order 48 Icosahedral symmetry (5 3 2) – order 120 Dihedral symmetry (n 2 2), for...

Ih icosahedral symmetry. Combining pairs of light and dark triangles define the fundamental domains of the nonreflective (I) icosahedral symmetry. The...

conformations of the encasing structure. The icosahedral capsid structure is the most common arrangement due to 2-3-5 symmetry of its namesake shape, allowing for...

hexecontahedron. An alternate construction method uses quaternions and the icosahedral symmetry of the Weyl group orbits O ( Λ ) = W ( H 3 ) / C 2 ≈ A 5 = I {\displaystyle...

(3⁄2 4 4). There are 8 convex forms and 46 nonconvex forms with icosahedral symmetry (with fundamental domain Möbius triangle (5 3 2)). (or 47 nonconvex...

exactly three faces meet at each vertex, and they have rotational icosahedral symmetry. They are not necessarily mirror-symmetric; e.g. GP(5,3) and GP(3...

that sections by the common plane of two non-orthogonal hyperplanes of symmetry passing through the center yield complex 3{4}3 Möbius–Kantor polygons....

rotation by 180° around midpoints of edges, order 2 The icosahedral group of order 60, rotational symmetry group of the regular dodecahedron and the regular...

with the same D5d, [2+,10] symmetry, order 20. These can also be seen in these four convex polyhedra with icosahedral symmetry. The polygons on the perimeter...

polyhedron is a convex polyhedron made from triangles. They usually have icosahedral symmetry, such that they have 6 triangles at a vertex, except 12 vertices...

calculating the angle of a pentagonal rotunda. An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its...

systole among all genus 2 hyperbolic surfaces. Tetrahedral symmetry Icosahedral symmetry Binary octahedral group Hyperoctahedral group Learning materials...

In the top row they are shown with pyritohedral symmetry, in the bottom row with icosahedral symmetry (to which the mentioned colors refer). The table...

these groups are tetrahedral symmetry [3,3], octahedral symmetry [4,3], icosahedral symmetry [5,3], and dihedral symmetry [p,2]. The number of mirrors...

examples of helical viruses. Icosahedral Most animal viruses are icosahedral or near-spherical with chiral icosahedral symmetry. A regular icosahedron is...

many different types of viruses. In many viruses, the virions have icosahedral symmetry, which can be ideally isometric or elongated. Many virions also have...

is one of the stellations of the rhombic triacontahedron. It has icosahedral symmetry (Ih). The compound is a faceting of a dodecahedron (where pentagrams...

diameter with icosahedral symmetry. Because of its short genome and its simple composition—only a strand of RNA and a nonenveloped icosahedral protein coat...

In geometry, the icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli...

meaning small, as the virus is only 20 to 26 nm in diameter. It has an icosahedral symmetry. The genome is about 5000 nucleotides long. CPV2 continues to evolve...