Rhombic dodecahedron

Rhombic dodecahedron
Type	Catalan solid, Parallelohedron
Faces	12 rhombus
Edges	24
Vertices	14
Symmetry group	octahedral symmetry ${\displaystyle \mathrm {O} _{h}}$
Dihedral angle (degrees)	120°
Dual polyhedron	cuboctahedron
Properties	convex, edge-transitive, face-transitive
Net

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron. As a parallelohedron, the rhombic dodecahedron can be used to tesselate its copies in space creating a rhombic dodecahedral honeycomb. There are some variations of the rhombic dodecahedron, one of which is the Bilinski dodecahedron. There are some stellations of the rhombic dodecahedron, one of which is the Escher's solid. The rhombic dodecahedron may also appearances in the garnet crystal, the architectural philosophies, practical usages, and toys.