Octahemioctacron

The octahemioctacron is the dual of the octahemioctahedron. Because the latter polyhedron has four faces going through its middle, four of the octahemioctacron's vertices are at an ideal points infinitely far away from the origin (in projective space). This is usually represented in images and models by prisms extending an arbitrarily long distance.

It appears the same as the hexahemioctacron.

Vertex coordinates
Vertex coordinates for the octahemioctacron can be given using homogenous coordinates:


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

Note that because in homogeneous coordinates $$(x,y,z,0)$$ and $$(-x,-y,-z,0)$$ represent the same point, the last point gives 8 coordinates representing only 4 points. Alternatively this can be replaced with even sign changes of the first 3 values of


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