Archimedean Solids Most of us know the five Platonic (or regular) solids; next to the sphere, they are the most regular and beautiful objects in our three-dimensional world. Less well-known are the Archimedean or semi-regular solids. In this math circle activity, we will recall the Platonic solids, and then explore the Archimedean solids, and some relations between them. We will be building them and then studying our constructions. If time, I will explain their relation to fair dice.