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.