Great Cubicuboctahedron

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• Vertex description: 8/3.3.8/3.4
• Faces: 20
• Edges: 48
• Vertices: 24
• External facelets: 62
• Dual: Great hexacronic icositetrahedron
• Name breakdown:
  • Great: To distinguish polyhedra that would otherwise have the same name.
  • Cubi-: 6 faces (octagrams) lie parallel to those of a cube
  • -cub-: 6 more faces (squares) lie parallel to those of a cube
  • -octa-: 8 faces (triangles) lie parallel to those of an octahedron

A uniform polyhedron whose faces consist of 6 octagrams (red), 6 squares (blue) and 8 triangles (yellow). It is a faceting of the truncated cube, that is, it shares the same vertices. It also shares the same vertices with the great rhombihexahedron and the great rhombicuboctahedron. In fact all but the truncated cube share the same edges too.

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