Hexahemioctacron

The hexahemioctacron is the dual of the cubohemioctahedron. Because the latter polyhedron has four faces going through its middle, four of the cubohemioctahedron's vertices are at infinity (on the real projective plane). This is usually represented in images and models by prisms extending an arbitrarily long distance. This model appears the same as the the analygous model for the octahemioctacron.

Vertex coordinates
Vertex coordinates for the octahemioctacron can be given using homogenous coordinates. It has vertices at all permutations of


 * $$\left(\pm1,\,0,\,0,\,\frac{\sqrt{3}}{2}\right)$$,

and even sign changes of the first three values of


 * $$\left(1,\,1,\,1,\,0\right)$$.