Bitruncatodecachoron

The bitruncatodecachoron is a convex isogonal polychoron that consists of 10 tetrahedra, 20 triangular antiprisms and 30 tetragonal 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)