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
3D model of a great cubicuboctahedron

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]

  1. ^ Maeder, Roman. "14: great cubicuboctahedron". MathConsult.
  2. ^ Webb, Robert. "Great Cubicuboctahedron". Stella: Polyhedron Navigator.