Great cubicuboctahedron

Great cubicuboctahedron
Type	Uniform star polyhedron
Elements	F = 20, E = 48 V = 24 (χ = −4)
Faces by sides	8{3}+6{4}+6{8/3}
Coxeter diagram
Wythoff symbol	3 4 | 4/3 4 3/2 | 4
Symmetry group	Oh, [4,3], *432
Index references	U14, C50, W77
Dual polyhedron	Great hexacronic icositetrahedron
Vertex figure	3.8/3.4.8/3
Bowers acronym	Gocco

In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U₁₄. It has 20 faces (8 triangles, 6 squares and 6 octagrams), 48 edges, and 24 vertices.^[1] Its square faces and its octagrammic faces are parallel to those of a cube, while its triangular faces are parallel to those of an octahedron: hence the name cubicuboctahedron. The prefix great serves to distinguish it from the small cubicuboctahedron, which also has faces in the aforementioned directions.^[2]