Rhombic Dodecahedron
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron. It is the polyhedral dual of the cuboctahedron, and a zonohedron. The long diagonal of each face is exactly 2 times the length of the short diagonal, so that the acute angles on each face measure cos 1(1/3), or approximately 70.53°. Being the dual of an Archimedean polyhedron, the rhombic dodecahedron ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron. It is the polyhedral dual of the cuboctahedron, and a zonohedron. The long diagonal of each face is exactly 2 times the length of the short diagonal, so that the acute angles on each face measure cos 1(1/3), or approximately 70.53°. Being the dual of an Archimedean polyhedron, the rhombic dodecahedron is face-transitive, meaning the symmetry group of the solid acts transitively on the set of faces. In elementary terms, this means that for any two faces A and B there is a rotation or reflection of the solid that leaves it occupying the same region of space while moving face A to face B.
