
 Tetrahemihexahedron 
 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
 hemihexa: 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).
