Decachoric prism

The decachoric prism or decap is a prismatic uniform polyteron that consists of 2 decachora and 10 truncated tetrahedral prisms.

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