Snub prismatotriacontaditeron

The snub prismatotriacontaditeron, also commonly called the omnisnub demipenteract, is a convex isogonal polyteron obtained through the process of alternating the great prismated triacontaditeron. However, it cannot be made uniform.

Unlike the related icosahedron and snub disicositetrachoron, which both possess central inversion symmetry, this polyteron has no such symmetry.

Vertex coordinates
The vertices of a snub prismatotriacontaditeron, assuming that the edge length differences are minimized, centered at the origin, are given by all even permutations and all sign changes of:


 * (0, 1/2, (3+$\sqrt{6}$)/6, (3+2$\sqrt{6}$)/6, (3+$\sqrt{6}$)/3).