Small Cubicuboctahedron

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• Vertex description: 4.8.3/2.8
• Faces: 20
• Edges: 48
• Vertices: 24
• External facelets: 62
• Dual: Small hexacronic icositetrahedron
• Name breakdown:
  • Small: To distinguish polyhedra that would otherwise have the same name.
  • Cubi-: 6 faces (octagons) 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 8 triangles (blue), 6 squares (red) and 6 octagons (yellow). It is a faceting of the rhombicuboctahedron, that is, it shares the same vertices. It also shares the same vertices with the small rhombihexahedron and the stellated truncated hexahedron. In fact all but the last of those share the same edges too.

Another photo.

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