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A cuboctahedron is a uniform three-dimensional polyhedron that can be constructed by rectifying a cube. It can also be created by rectifying an octahedron, or by cantellating a tetrahedron (when considered with this symmetry, it can be called a rhombitetratetrahedron).

As a rectified octahedron, it has the same symmetry group as the octahedron, namely octahedral symmetry (Oh).

The dual of the cuboctahedron is called a rhombic dodecahedron.

The Bowers acronym for the cuboctahedron is co.

Structure and Sections

On each vertex of the cuboctahedron, two triangles and two squares join.

Hypervolumes

Subfacets

See Also

Regular
t_0 \{4,3\}
Rectified
t_1 \{4,3\}
Birectified
t_2 \{4,3\}
Truncated
t_{0,1} \{4,3\}
Bitruncated
t_{1,2} \{4,3\}
Cantellated
t_{0,2} \{4,3\}
Cantitruncated
t_{0,1,2} \{4,3\}
Cube Cuboctahedron Octahedron Truncated cube Truncated octahedron Rhombicuboctahedron Great rhombicuboctahedron
Regular
t_0 \{3,3\}
Rectified
t_1 \{3,3\}
Birectified
t_2 \{3,3\}
Truncated
t_{0,1} \{3,3\}
Bitruncated
t_{1,2} \{3,3\}
Cantellated
t_{0,2} \{3,3\}
Cantitruncated
t_{0,1,2} \{3,3\}
Tetrahedron Octahedron Tetrahedron Truncated tetrahedron Truncated tetrahedron Cuboctahedron Truncated octahedron
t_1 \{2,4\} t_1 \{3,4\} t_1 \{4,4\} t_1 \{5,4\} t_1 \{6,4\} ... t_1 \{\aleph_0,3\}
Square dihedron Cuboctahedron Square tiling Tetrapentagonal tiling Tetrahexagonal tiling ... Tetrapeirogonal tiling
t_1 \{2,3\} t_1 \{3,3\} t_1 \{4,3\} t_1 \{5,3\} t_1 \{6,3\} t_1 \{7,3\} t_1 \{8,3\} ... t_1 \{\aleph_0,3\}
Trigonal dihedron Octahedron Cuboctahedron Icosidodecahedron Trihexagonal tiling Triheptagonal tiling Trioctagonal tiling ... Triapeirogonal tiling
t_{0,2} \{2,3\} t_{0,2} \{3,3\} t_{0,2} \{4,3\} t_{0,2} \{5,3\} t_{0,2} \{6,3\} t_{0,2} \{7,3\} t_{0,2} \{8,3\} ... t_{0,2} \{\aleph_0,3\}
Triangular prism Cuboctahedron Rhombicuboctahedron Rhombicosidodecahedron Rhombitrihexagonal tiling Rhombitriheptagonal tiling Rhombitrioctagonal tiling ... Rhombitriapeirogonal tiling

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