Penetration of five cubes
![](https://upload.wikimedia.org/wikipedia/commons/thumb/f/fc/F%C3%BCnf-W%C3%BCrfel-Komposit.png/220px-F%C3%BCnf-W%C3%BCrfel-Komposit.png)
Composite of five cubes that can be found in the dodecahedron .
![](https://upload.wikimedia.org/wikipedia/commons/thumb/9/98/Rhombihedron-in-dodecahedron.png/220px-Rhombihedron-in-dodecahedron.png)
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
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).