Hexacosichoric prism

The hexacosichoric prism or exip is a prismatic uniform polyteron that consists of 2 hexacosichora and 600 tetrahedral prisms.

Vertex coordinates
The vertices of a hexacosichoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of: together with all the even permutations of the first four coordinates of:
 * (±(1+$\sqrt{2}$)/2, 0, 0, 0, ±1/2),
 * (±(1+$\sqrt{7+2√5}$)/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±1/2),
 * (±(3+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±1/2, 0, ±1/2).