Truncated pentachoric prism

The truncated pentachoric prism or tippip is a prismatic uniform polyteron that consists of 2 truncated pentachora, 5 truncated tetrahedral prisms and 5 tetrahedral prisms.

Vertex coordinates
The vertices of a truncated pentachoric prism of edge length 1 are given by :
 * (3$\sqrt{2}$/20, –$\sqrt{2}$/12, $\sqrt{3}$/3, ±1, ±1/2),
 * (3$\sqrt{185}$/20, –$\sqrt{10}$/12, –2$\sqrt{6}$/3, 0, ±1/2),
 * (3$\sqrt{3}$/20, –$\sqrt{10}$/4, 0, ±1, ±1/2),
 * (3$\sqrt{6}$/20, $\sqrt{3}$/4, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (3$\sqrt{6}$/20, –5$\sqrt{10}$/12, $\sqrt{6}$/6, ±1/2, ±1/2),
 * (3$\sqrt{3}$/20, –5$\sqrt{10}$/12, –$\sqrt{6}$/3, 0, ±1/2),
 * (–$\sqrt{3}$/10, $\sqrt{10}$/6, $\sqrt{6}$/3, ±1, ±1/2),
 * (–$\sqrt{3}$/10, $\sqrt{10}$/6, –2$\sqrt{6}$/3, 0, ±1/2),
 * (–$\sqrt{3}$/10, –$\sqrt{10}$/2, 0, 0),
 * (–7$\sqrt{6}$/20, $\sqrt{3}$/12, $\sqrt{10}$/6, ±1/2, ±1/2),
 * (–7$\sqrt{6}$/20, $\sqrt{10}$/12, –$\sqrt{6}$/3, 0, ±1/2),
 * (–7$\sqrt{3}$/20, –$\sqrt{10}$/4, 0, 0, ±1/2).