Packing Problem (IMAGE) Princeton University Caption Mathematicians define the five shapes composing the Platonic solids as being convex polyhedra that are regular. Their beauty and symmetry have fascinated minds, including that of the Greek philosopher, Plato, for thousands of years. Credit Princeton University/Torquato Lab Usage Restrictions None License Licensed content Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.