MIT Libraries homeDome

E. Jouffret published Traité élémentaire de géométrie à quatre dimensions in 1903. There are four central conceptual models in Duchamp's mathematical notes that are very similar to the ones found in Jouffret's books: the concept of a "section," in which an n-dimentional [fourth dimensional] spaces is intersected by an n - 1 dimensional space. the concept of "parallélisme élémentaire," in which an n-dimensional space is displayed along an axis to generate an n +1 dimensional space the concept of "rotation," in which an n-dimensional space is roted around an axis to generate an n +1 dimensional space and the concept of "projection," in which an n-dimensional configuration is projected onto an n-1 dimensional configuration. In addition to these, Duchamp's concept of "infra-mince" is apparently derived from Jouffret's discussions on the "sections" that exist between continua of different dimension. -- from Adcock, Craig E. Marcel Duchamp's notes from the Large glass : an n-dimensional analysis / Ann Arbor, Mich. : UMI Research Press, c1983 p. 36-37.full view, from p. 40; 2 obtuse triangles