Hexadecapenteract

The hexadecapenteract or han is a uniform polyteron composed of 10 hexadecachora and 16 rectified pentachora. 5 hexadecachora and 10 rectified pentachora form its prismatointercepted pentachoric vertex figure; its facial structure is identical to that of the demipenteract, as their vertex figures fall into the same regiment.

Vertex coordinates
The vertex coordinates of a hexadecapenteract are given by all even sign changes of:


 * $$\biggl(\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4},\frac{\sqrt{2}}{4}\biggr).$$