How many different dice there are?
There are 30 possible dice (if we don't consider the usual convention of disposing in opposite faces numbers whose sum is 7). Exhibit of Un tuffo nella quarta dimensione - Diving in the 4th dimension, Genoa 2007.
This problem is analogous to the problem of finding out all the possible colourings of the cube with six colours, so that each face has a different colour.
foto di Marianna Lorini
The image belongs to the sections...:
Coloring a cube (3D geometry)
Objects of the exhibition (From the exhibitions of matematita)
The layout at the magazzini del Cotone, Science Festival 2007, Genova (From the exhibitions of matematita)