WOLFRAM|DEMONSTRATIONS PROJECT

Four Kinds of Rhombic Polyhedra

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move dodecahedra
move prolate rhombohedra
move central rhombohedra
move rhombic dodecahedra
Four kinds of rhombic polyhedra are attached face to face in a single cluster: a prolate rhombohedron, a flat hexahedron, a rhombic dodecahedron, and a flat rhombic dodecahedron. The faces of these polyhedra are rhombi having diagonal ratio
2
and/or
2
ϕ
, where
ϕ
is the golden ratio.
The void inside the construction corresponds to a polar zonohedron.