Retropenteractihexadecateron

The retrointercepted hexadecateron or rinah is a uniform polyteron consisting of 10 hexadecachora and 16 faceted rectified pentachora. 5 hexadecachora and 10 faceted rectified pentachora meet each of its vertices.

Because the faceted rectified pentachora contain tetrahedra and their octahedral pseudo-cells are buried under its hexadecachora, the retrointercepted hexadecateron is superficially identical to the hexadecapenteract.

Vertex coordinates
The vertex coordinates of a retrointercepted hexadecateron are given by all even sign changes of:
 * $$\biggl(\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4}\biggr)$$