Indeed he did. An art gallery here was once filled with the works of Escher - a real delight. =)
As for the puzzle.. a tetrahedron (a four-sided die or D4) flips into another tetrahedron. A cube and an octahedron (d6 and d8) convert into each other. An icosahedron (D12) flips into a dodecahedron (D20). When I saw that I was rather stunned about it, and wondered why it works so. There is a clear reason for it.
Some gamers also use a ten-side die (D10) that looks like two pyramids of a base and five sides each, with the bases glued together. It has seven vertexes, ten faces, and 15 edges. It converts into a cylinder with a pentagon as base. 15 edges, 7 faces, 10 vertexes. In that, not every face looks the same, but then, the d10 is not one of Plato's perfect five.