Compound of five octahedra

The penetration of five octahedra represents a neutral body that arises from a suitable set of five octahedra, which are found in the icosahedron.

This polyhedron was founded in 1876 by ​​the German mathematician Edmund Hess ( 1843-1903 ) first described.

The star body is made up of 120 irregular triangles and has the same number of spikes as the icosahedron has corners, namely 30 The icosahedron is the convex envelope body, this star body.

Dihedral angle

The dihedral angle of the star body is the same as for a single octahedral (see there).