Penetration of ten tetrahedra

Composite of ten tetrahedra that can be found in the dodecahedron . The prongs form the 20 corners of the dodecahedron (convex envelope).

Icosiicosahedron ( star body )

The penetration of ten tetrahedra (also called icosiicosahedron ) represents a star body that arises from a suitable combination of ten tetrahedra that can be found in the dodecahedron .

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

See also

• Penetration of five tetrahedra

Web links

Commons : composite of ten tetrahedra  - collection of images, videos and audio files

• Eric W. Weisstein : Composite of ten tetrahedra . In: MathWorld (English).