ABSTRACT

GREG KUPERBERG 2 Department of Mathematics, University of California, Davis, CA 95616

GÜNTER M.ZIEGLER 3 Institut für Mathematik, MA 6-2, Technische Universität Berlin, D-10623 Berlin, Germany

ABSTRACT. We introduce the fatness parameter of a 4-dimensional polytope

P, defined as It arises in an important open problem in 4-dimensional combinatorial geometry: Is the fatness of convex 4-polytopes bounded?