Um estudo sobre poliedros com alguma regularidade

Abstract

In this work we study several classes of convex polyhedra that present some regularity. However, before dealing with these polyhedra, we start with the definition of convex polyhedron, we present prisms, pyramids and antiprisms as examples of polyhedra and prove the important Euler theorem that brings a relationship between the numbers of vertices, edges and faces of a polyhedron. Finally we prove that there are only five Plato polyhedra (regular) and only thirteen Archimedean polyhedra (semiregular). In addition, we also present two other classes of polyhedra with some regularity, which are Catalan's and Johnson's.