Blend of 30 dodecagonal-tetrahedral duoprisms

Vertex coordinates
The vertices of a blend of 30 dodecagonal-tetrahedral duoprisms of edge length 1 can be given in 6 dimensions as all permutations of:
 * $$±\left(\frac{9+4\sqrt3}{12},\,\frac{3+4\sqrt3}{12},\,-\frac{2\sqrt3-3}{12},\,-\frac{3+2\sqrt3}{12},\,-\frac{3+2\sqrt3}{12},\,-\frac{9+2\sqrt3}{12}\right).$$