Five cubes in a dodecahedron
We can pick out 8 vertices among the 20 vertices of a dodecahedron so that they are the vertices of a cube; as we can see in this picture, there are 5 ways to do that. You can see these 5 cubes together and the 5 cubes with the dodecahedron in evidence. The edges of the cubes are the diagonals of the faces of the dodecahedron.
Compare these virtual images with the photo of a cardboard model.
© matematita
immagine di Gian Marco Todesco
The image belongs to the sections...:
Five cubes in a dodecahedron (3D geometry)
Further information:
http://www.toonz.com/personal/todesco
