Back

Snub disphenoid

In geometry, the snub disphenoid is a convex polyhedron with 12 equilateral triangles as its faces. It is an example of deltahedron and Johnson solid. It can be constructed in different approaches. This shape is also called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron. The snub disphenoid can be visualized as an atom cluster surrounding a central atom, that is the dodecahedral molecular geometry. Its vertices may be placed in a sphere and can also be used as a minimum possible Lennard-Jones potential among all eight-sphere clusters. The dual polyhedron of the snub disphenoid is the elongated gyrobifastigium.

Construction

ID Box

Type Deltahedron
Johnson J83 – J84 – J85
Faces: 12 triangles
Edges: 18
Vertices: 8
Vertex configuration: 4×(3⁴)+4×(3⁵)
Symmetry Group: D_2d
Dual polyhedron: Elongated gyrobifastigium
Properties: convex
Net