Pyritosnub alterprism

The bialternatosnub octahedral hosochoron is a convex isogonal polychoron that consists of 2 pyritohedral small rhombicuboctahedra, 6 rectangular trapezoprisms, 8 triangular antiprisms and 24 wedges obtained through the process of bialternating (i.e. alternating two adjacent vertices) the great rhombicuboctahedral prism. However, it cannot be made uniform.

Vertex coordinates
The vertices of a bialternatosnub octahedral hosochoron, assuming that the triangular antiprisms are regular of edge length 1 and are a unit distance apart, centered at the origin, are given by the cyclic permutations excluding the last coordinate of:


 * (±1/2, ±(3+$\sqrt{6}$)/6, ±(3+2$\sqrt{6}$)/6, $\sqrt{6}$/6)
 * (±(3+$\sqrt{6}$)/6, ±1/2, ±(3+2$\sqrt{6}$)/6, –$\sqrt{6}$/6)