Addition and decomposition of convex polytopes

A new addition of convex polytopes is defined and the possibility of representing each polytope as a sum of “standard” polytopes is established The research reported in this paper was supported in part by the National Science Foundation NSF-G 19838, and by the Air Force Office of Scientific Research grant AF EOAR 63-63. Lecture delivered by the second author at a symposium on Series and Geometry in Linear Spaces, held at the Hebrew University of Jerusalem from March 16 till March 24, 1964.