snub dodecahedron

The snub dodecahedron has 92 faces, the most an Archimedean solid can have.

The only other chiral Archimedean solid is the snub dodecahedron.

The snub dodecahedron is one of them.

The snub dodecahedron has the highest sphericity of all Archimedean solids.

Like the snub dodecahedron, it has chiral icosahedral symmetry.

The snub dodecahedron can also be derived from the truncated icosidodecahedron by the process of alternation.

Its convex hull is a nonuniform Snub dodecahedron.

This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.

The icosahedron, snub cube and snub dodecahedron are the only three convex ones.

In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron.

The snub dodecahedron can be generated by taking the twelve pentagonal faces of the dodecahedron and pulling them outward so they no longer touch.

The pentakis snub dodecahedron is a convex polyhedron with 140 triangular faces, 210 edges, and 72 vertices.

Its name comes from a topological construction from the snub dodecahedron with the kis operator applied to the pentagonal faces.

It also has the most faces among the Archimedean and Catalan solids, with the snub dodecahedron, with 92 faces, in second place.

There are four Archimedean solids with 60 vertices: the truncated icosahedron, the rhombicosidodecahedron, the snub dodecahedron, and the truncated dodecahedron.

Sixty of the vertices of the truncated icosidodecahedron form a polyhedron topologically equivalent to one snub dodecahedron; the remaining sixty form its mirror-image.

The snub dodecahedron has two special orthogonal projections, centered, on two types of faces: triangles, and pentagons, correspond to the A and H Coxeter planes.

The Snub Dodecahedron made with LEGO by Antonio Nicassio (ITALY)

Two of the Catalan solids are chiral: the pentagonal icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub dodecahedron.

The snub cube and snub dodecahedron are known as chiral, as they come in a left-handed (Latin: levomorph or laevomorph) form and right-handed (Latin: dextromorph) form.

In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.

The snub dodecahedron has 92 faces (the most of any convex uniform polyhedron other than prisms and antiprisms), of which 12 are pentagons and the other 80 are equilateral triangles.

In contrast to its appearance within former groups as partly snubbed polychoron, only within this symmetry group it has the full analogy to the Kepler snubs, i.e. the snub cube and the snub dodecahedron.

These are invariant under the same rotations as the tetrahedron, and are somewhat analogous to the snub cube and snub dodecahedron, including some forms which are chiral and some with T-symmetry, i.e. have different planes of symmetry from the tetrahedron.