Ah, a side (! pun not intended) effect of my having not have the time to put the faces on the die… :S
Explanations:
Well, the upper right-hand cube shows you the state of the die: each of the six drawings represents a face/side. It is clearer when you have at least one picture that is different from the others, as you roll.
For instance, in the first level, once you have rolled on the ‘stamp’ (the little smiling sun), you can see that it gets attached to the bottom face, and as you roll, its current occupied face changes.
The main mechanic is that the top side decides how the die is controlled: when the top side is the player (ie the beige human face with no mouth), you get to roll the die. When the top side is something else… something else happens. This is up to you to discover. ;)
The existing possible types for the sides go as follows: player, Sun, nothing, arrow (with one of four orientations), friend (blue human face), enemy (red human face).
Sorry for not having drawn on the die; I tried towards the end, but it did not display, so I preferred giving up and relying entirely on the UI display (which worked well enough for me during testing). A rare case of where 3D graphics is actually easier than 2D graphics! X)