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Tetrahemihexahedron

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  • Vertex description: 3.4.3/2.4
  • Faces: 7
  • Edges: 12
  • Vertices: 6
  • External facelets: 16
  • Dual: Tetrahemihexacron (infinite)
  • Name breakdown:
    • Tetra-: 4 faces (triangles) lie parallel to those of a tetrahedron
    • -hemi-hexa-: Hemi = through the centre of model. Hexa = faces parallel to a cube, but only half as many (3) because they're hemi.

Other than some prisms, this is the only uniform polyhedron with an odd number of faces. It has seven: 4 triangles (yellow) and 3 squares (red). The squares intersect each other, bisecting each other along their diagonals. Every part of each square is visible, from one side or the other. It is a faceted octahedron (that is it shares the same vertex positions).

Here's a compound of 5 tetrahemihexahedra.

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