Great rhombidemipenteract

The great rhombidemipenteract, or girhin, also called the runcicantic 5-cube, is a convex uniform polyteron. It consists of 16 decachora, 16 great rhombated pentachora, and 10 tesseractihexadecachora. One decachoron, 2 tesseractihexadecachora, and 2 great rhombated pentachora join at each vertex. It can be formed from an alternated faceting of the prismatorhombated penteract, or as a bitruncation of the demipenteract.

Vertex coordinates
The vertices of a great rhombidemipenteract of edge length 1 are given by all permutations and even sign changes of:
 * $$\left(\frac{5\sqrt2}{4},\,\frac{5\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$

Representations
A great rhombidemipenteract has the following Coxeter diagrams:


 * x3x3o *b3x3o (full symmetry)
 * s4o3x3x3o (as alternated faceting)