 The description preceding the quotation begins (82. 20) with a passage on the first half of Speusippus’ book, telling us that it talked about numbers of various types and the five so-called ‘Platonic solids’ (the tetrahedron or pyramid, the cube, the octahedron, the dodecahedron, and the icosahedron, assigned in the Platonic tradition starting with Timaeus 54d-56b to the elements of which the universe was composed and to the universe itself or to the fifth element, ether). This is relatively unproblematic.