In the context of this artwork, explore the Mathematics of the Influences.

Maurice Princet, a French mathematician and actuary, played a role in the birth of Cubism as an associate of Pablo Picasso, Guillaume Apollinaire, Max Jacob, Jean Metzinger, Robert Delaunay, Juan Gris and later Marcel Duchamp. Princet became known as "le mathématicien du cubisme" ("the mathematician of cubism").Princet is credited with introducing the work of Henri Poincaré and the concept of the "fourth dimension" to artists at the Bateau-Lavoir. Princet brought to the attention of Picasso, Metzinger and others, a book by Esprit Jouffret, Traité élémentaire de géométrie à quatre dimensions (Elementary Treatise on the Geometry of Four Dimensions, 1903), a popularization of Poincaré's Science and Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto the two-dimensional surface. Picasso's sketchbooks for Les Demoiselles d'Avignon illustrate Jouffret's influence on the artist's work.
polyhedra Guillaume Apollinaire Marcel Duchamp Dimension Gris Jean Metzinger Maurice Princet fr Picasso dimension actuary Metzinger Esprit Jouffret Juan Gris cubism Bateau-Lavoir Cubism Robert Delaunay Science and Hypothesis Pablo Picasso hypercube Henri Poincaré fourth dimension Max Jacob mathematician