My conviction was justified: art, that which lasts, is based on mathematics. - Jean Metzinger

This science gave me a taste for the arts. It is Number that gives value to sounds and silences, lights and shadows, forms and spaces. Michelangelo and Bach seemed to me like divine mathematicians [calculateurs]. Already I felt that only mathematics enables works that can last. Whether as a result of patient study, or of a stormy [fulgurante] intuition, number alone can reduce all our diversities of feeling to the strict unity of a mass, a fresco, or a sculpted head.

Gleizes was only trying to reduce the curvature of natural volumes to adapt them more naturally and rigorously to the surface of the painting, a surface which he believed to be continuous with the wall and, for all practical purposes, with no curvature at all.

Cézanne showed us forms living in the reality of light; Picasso gives us a material report of their real life in the mind. He establishes a free, mobile perspective, in such a way that the shrewd mathematician Maurice Princet has deduced an entire geometry.