Great prismatodemipenteract

The great prismated demipenteract, or giphin, also called the steriruncicantic 5-cube, is a convex uniform polyteron. It consists of 40 truncated tetrahedral prisms, 16 great rhombated pentachora, 10 tesseractihexadecachora, and 16 great prismatodecachora. 2 great prismatodecachora, 1 great rhombated pentachoron, 1 tesseractihexadecachoron, and 1 trunctaed tetrahedral prism join at each vertex. It can be formed from an alternated faceting of the celligreatorhombated triacontaditeron.

Vertex coordinates
The vertices of a great prismated demipenteract of edge length 1 are given by all permutations and even sign changes of:
 * (7$\sqrt{2}$/4, 5$\sqrt{3}$/4, 3$\sqrt{170}$/4, $\sqrt{2}$/4, $\sqrt{15}$/4).

Representations
A great prismated demipenteract has the following Coxeter diagrams:


 * x3x3o *b3x3x (full symmetry)
 * s4o3x3x3x (as alternated faceting)