Rhombicuboctahedron

Rhombicuboctahedron
Dimensionality	3
Schläfli Symbol	'"`UNIQ--postMath-00000001-QINU`"'
Subfacets
Vertices	24 points
Edges	48 line segments
Faces	8 triangles 18 squares
Cells	1 rhombicuboctahedron
Hypervolumes
Vertex Count	'"`UNIQ--postMath-00000002-QINU`"'
Edge Length	'"`UNIQ--postMath-00000003-QINU`"'
Surface Area	'"`UNIQ--postMath-00000004-QINU`"'
Surcell Volume	'"`UNIQ--postMath-00000005-QINU`"'

A rhombicuboctahedron is a uniform three-dimensional polyhedron that can be constructed by cantellating a cube or octahedron

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

The dual of the cuboctahedron is called a deltoidal icositetrahedron.

The Bowers acronym for the cuboctahedron is sirco.

Structure and Sections

On each vertex of the cuboctahedron, one triangle and three squares join.

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

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$t_{0,2} \{2,3\}$	$t_{0,2} \{3,3\}$	$t_{0,2} \{4,3\}$	$t_{0,2} \{5,3\}$	$t_{0,2} \{6,3\}$	$t_{0,2} \{7,3\}$	$t_{0,2} \{8,3\}$	...	$t_{0,2} \{\infty,3\}$	$t_{0,2} \{\frac{\pi i}{\lambda},3\}$
Triangular prism	Cuboctahedron	Rhombicuboctahedron	Rhombicosidodecahedron	Rhombitrihexagonal tiling	Rhombitriheptagonal tiling	Rhombitrioctagonal tiling	...	Rhombitriapeirogonal tiling	Rhombitripseudogonal tiling

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