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A polyhedron with 12 faces, each of which is a rhombus. The dual polyhedron to the cuboctahedron; at eight of its vertices 3 of the obtuse angles of different rhombi meet; at the other six vertices, 4 of the acute angles meet.

The rhombi that form this polyhedron have the following relative dimensions:

  • edge length: sqrt(3)
  • short diagonal: 2
  • long diagonal: 2 sqrt(2)
  • acute angle: cos-1(1/3), approx. 70.53 degrees.

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