Rhombic dodecahedron

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

Rhombic dodecahedron

(Click here for rotating model)
TypeCatalan solid
Coxeter diagram
Conway notationjC
Face typeV3.4.3.4
rhombus
Faces12
Edges24
Vertices14
Vertices by type8{3}+6{4}
Symmetry groupOh, B3, [4,3], (*432)
Rotation groupO, [4,3]+, (432)
Dihedral angle120°
Propertiesconvex, face-transitive isohedral, isotoxal, parallelohedron

Cuboctahedron
(dual polyhedron)

Net
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