Two dodecahedra
If we translate a dodecahedron trying to make coincide the two parallel planes that contain opposite faces, these two faces will not coincide because they will be "offset"; if we want them to coincide, we have to add a rotation of 36° (or of an odd multiple of 36°).
Image appeared in the survey "Officina della matematica" in the double number 4-5 of the magazine XlaTangente.
© matematita
immagine di Gian Marco Todesco
The image belongs to the sections...:
Dodecahedron (3D geometry)
Number 4-5 (From "XlaTangente")
Further information:
http://www.toonz.com/personal/todesco