Solids with icosahedral symmetry

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

3.5.3.5

Catalan solids - duals of the Archimedean solids.


V3.10.10

V4.6.10

V5.6.6

V3.4.5.4

V3.5.3.5

Platonic solids

Catalan solids:

Name picture Dual Archimedean solid Faces Edges Vertices Face Polygon
pentagonal hexecontahedron) snub dodecahedron 60 150 92 irregular pentagon

Stellated Archimedean solids:
* the snub dodecadodecahedron
* the great inverted snub icosidodecahedron or great vertisnub icosidodecahedron
* the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron

Chiral nonconvex uniform polyhedra


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • 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

  • 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

  • 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

  • Uniform polyhedron — A uniform polyhedron is a polyhedron which has regular polygons as faces and is transitive on its vertices (i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high… …   Wikipedia

  • Final stellation of the icosahedron — Two symmetric orthographic projections Symmetry group icosahedra …   Wikipedia

  • Compound of five tetrahedra — Type Regular compound Index UC5, W24 Elements (As a compound) 5 tetrahedra: F = 20 …   Wikipedia

  • Compound of ten tetrahedra — Type regular compound Index UC6, W25 Elements (As a compound) 10 tetrahedra: F = 40, E = 60, V = 20 …   Wikipedia

  • quasicrystal — /kway zuy kris tl, kway suy , kwah see , zee /, n. a form of solid matter whose atoms are arranged like those of a crystal but assume patterns that do not exactly repeat themselves. [1985 90] * * * Introduction also called  quasi periodic crystal …   Universalium

  • Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

  • Quasicrystal — Atomic model of an aluminum palladium manganese (Al Pd Mn) quasicrystal surface. Similar to Fig. 6 in Ref.[1] A quasiperiodic crystal, or, in short, quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”