A challenge for your spatial vision: Are we able “to see” simultaneously more than three faces of the same dice?

Abstract

Mathematics can be surprising and, lucky, this mathematical surprise is shown from time to time in the simplest details and turns out to be nearby for everybody. Generally it is not exclusive to mathematicians, and is accompanied by optical illusions, logical paradoxes, physical principles, artistic creations or by any stroke of fantasy and imagination. We would like the reader to interact with the challenge presented in the poster and to become an active part of his/her own optical illusion. We face the reader with the problem of looking over a board by means of specific movements of a dice that the reader will build from its development in the plane. In view of this impossibility to visualize simultaneously more than three faces of this dice and using a geometric construction that originates an ingenious optic effect based on the Necker cube, the reader will need something more than his/her spatial vision to be able to resolve it. If we manage to attract your attention and curiosity, where is the trick?