De quinque corporibus regularibus

The De quinque corporibus regularibus ("On the Five Regular Bodies") is a treatise by the Italian Renaissance painter and mathematician Piero della Francesca. Written after 1482, this work explores the concept of the five regular polyhedra, also known as Platonic solids. These are geometric solids where all faces are identical, regular polygons, and the same number of faces meet at each vertex. The five Platonic solids are the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. Piero's treatise, like the work of ancient mathematicians such as Plato and Pythagoras, delves into the perfect proportions and geometric principles underlying these shapes.