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The union of these 24 disphenoids forms a rhombic dodecahedron.
The analogous construction in 3-space gives the rhombic dodecahedron which, however, is not regular.
The rhombic dodecahedron can be used to tessellate three-dimensional space.
Stewart Coffin has been creating puzzles based upon the rhombic dodecahedron since the 1960s.
The first stellation, often simply called the stellated rhombic dodecahedron, is well known.
The remaining 12 octahedral cells project onto the faces of the rhombic dodecahedron.
The rhombic dodecahedron is the dual of the cuboctahedron.
Paulingite is a perfect clear rhombic dodecahedron of 0.1 to 1.0 mm in diameter.
The rhombic dodecahedron also appears in the unit cells of diamond and diamondoids.
It is similar to the rhombic dodecahedron and both of them are space-filling polyhedra.
It consists of copies of a single cell, the rhombic dodecahedron.
Rhombic dodecahedron is the dominant crystal form for paulingite.
The best known example is the rhombic dodecahedron composed of 12 rhombic faces.
The rhombic dodecahedron is a Voronoi cell of the other ideal way to stack spheres.
The rhombic dodecahedron can tessellate space by translational copies of itself:
The 'vertex-first' parallel projection of the tesseract into 3-dimensional space has a rhombic dodecahedron envelope.
The crystal grows not into a cube but into a 12-sided, almost spherical shape known as a rhombic dodecahedron.
The smaller polyhedra visible within the print also include all of the five Platonic solids and the rhombic dodecahedron.
The rhombic dodecahedron is another example; it is (3,4)-biregular.
The rhombic dodecahedron is a zonohedron.
It has octahedral symmetry (O) and shares the same vertices as a rhombic dodecahedron.
The name truncated rhombic dodecahedron is ambiguous since only 6 vertices were truncated.
The area A and the volume V of the rhombic dodecahedron of edge length a are:
More formally, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron.
These include a packing of the small stellated rhombic dodecahedron, as in the Yoshimoto Cube.