The mathematics in this work includes the first systematic treatment of tessellations, a proof that there are only thirteen convex uniform polyhedra (the Archimedean solids) and the first account of two non-convex regular polyhedra (all in Book 2).
Ang matematika sa trabaho na ito kasama ang unang paraan ng paggamot ng mga tessellations, isang patunay na may lamang labintatlo matambok unipormeng polyhedra (ang Archimedean solids) at ang unang account ng dalawang di-regular na matambok polyhedra (lahat sa Book 2).