Snub disphenoid
Convex polyhedron with 12 triangular faces / From Wikipedia, the free encyclopedia
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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; these names mean the 12-sided polyhedron.
Snub disphenoid | |
---|---|
Type | Deltahedron Johnson J83 – J84 – J85 |
Faces | 12 triangles |
Edges | 18 |
Vertices | 8 |
Vertex configuration | |
Symmetry group | |
Dual polyhedron | Elongated gyrobifastigium |
Properties | convex |
Net | |
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.