Other Names
Alternate interchangeable names are:
- Truncated cuboctahedron (Johannes Kepler)
- Rhombitruncated cuboctahedron (Magnus Wenninger)
- Great rhombicuboctahedron (Robert Williams)
- Great rhombcuboctahedron (Peter Cromwell)
- Omnitruncated cube or cantitruncated cube (Norman Johnson)
The name truncated cuboctahedron, given originally by Johannes Kepler, is a little misleading. If you truncate a cuboctahedron by cutting the corners off, you do not get this uniform figure: some of the faces will be rectangles. However, the resulting figure is topologically equivalent to a truncated cuboctahedron and can always be deformed until the faces are regular.
The alternative name great rhombicuboctahedron refers to the fact that the 12 square faces lie in the same planes as the 12 faces of the rhombic dodecahedron which is dual to the cuboctahedron. Compare to small rhombicuboctahedron.
One unfortunate point of confusion: There is a nonconvex uniform polyhedron by the same name. See nonconvex great rhombicuboctahedron.
Read more about this topic: Truncated Cuboctahedron
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