Cuboctahedron

Cuboctahedron
TypeArchimedean solid
Faces14
Edges24
Vertices12
Vertex configuration3.4.3.4
Symmetry groupOctahedral symmetry
Tetrahedral symmetry
Dihedral angle (degrees)approximately 125°
Dual polyhedronRhombic dodecahedron
Propertiesconvex,
vector equilibrium,
Rupert property
Vertex figure
Net

A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e., an Archimedean solid that is not only vertex-transitive but also edge-transitive.[1] It is radially equilateral. Its dual polyhedron is the rhombic dodecahedron.

  1. ^ Coxeter 1973, pp. 18–19, §2.3 Quasi-regular polyhedra.

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