# 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.

*© matematita*

*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)*