Snub disphenoid

Snub disphenoid
Type	Deltahedron Johnson J83 – J84 – J85
Faces	12 triangles
Edges	18
Vertices	8
Vertex configuration	${\displaystyle 4\times (3^{4})+4\times (3^{5})}$
Symmetry group	${\displaystyle D_{2\mathrm {d} }}$
Dual polyhedron	Elongated gyrobifastigium
Properties	convex
Net

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 also has alternative names called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron.

The applications of 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.