Bitruncatodecachoron

The bitruncatodecachoron is a convex isogonal polychoron that consists of 10 tetrahedra, 20 triangular antiprisms, 30 tetragonal disphenoids and 60 digonal disphenoids obtained as the convex hull of two opposite truncated pentachora.

Vertex coordinates
Coordinates for a bitruncatodecachoron, created from two truncated pentachora of edge length 1, are given by:


 * ±(3$\sqrt{10}$/20, –$\sqrt{6}$/12, $\sqrt{3}$/3, ±1)
 * ±(3$\sqrt{10}$/20, –$\sqrt{6}$/12, –2$\sqrt{3}$/3, 0)
 * ±(3$\sqrt{10}$/20, –$\sqrt{6}$/4, 0, ±1)
 * ±(3$\sqrt{10}$/20, $\sqrt{6}$/4, ±$\sqrt{3}$/2, ±1/2)
 * ±(3$\sqrt{10}$/20, –5$\sqrt{6}$/12, $\sqrt{3}$/6, ±1/2)
 * ±(3$\sqrt{10}$/20, –5$\sqrt{6}$/12, –$\sqrt{3}$/3, 0)
 * ±(–$\sqrt{10}$/10, $\sqrt{6}$/6, $\sqrt{3}$/3, ±1)
 * ±(–$\sqrt{10}$/10, $\sqrt{6}$/6, –2$\sqrt{3}$/3, 0)
 * ±(–$\sqrt{10}$/10, –$\sqrt{6}$/2, 0, 0)
 * ±(–7$\sqrt{10}$/20, $\sqrt{6}$/12, $\sqrt{3}$/6, ±1/2)
 * ±(–7$\sqrt{10}$/20, $\sqrt{6}$/12, –$\sqrt{3}$/3, 0)
 * ±(–7$\sqrt{10}$/20, –$\sqrt{6}$/4, 0, 0)