Penetration of five cubes

Composite of five cubes that can be found in the dodecahedron .

The penetration of five cubes forms a star body, the »prongs« of which represent the 20 corners of the dodecahedron .

The penetration of five cubes represents a star body , which is created from a suitable combination of five cubes that can be found in the dodecahedron .

All edges of the five cubes are identical to the 12 × 5 = 60 diagonals of the pentagons of the dodecahedron.

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

See also

• Penetration of three cubes
• Penetration of five tetrahedra
• Penetration of five octahedra

Web links

Commons : A composite of five cubes  - collection of images, videos and audio files

• Eric W. Weisstein : Composite of five cubes . In: MathWorld (English).