%0 Journal Article
%T Slices, Slabs, and Sections of the Unit Hypercube
%A Jean-Luc Marichal
%A Michael J. Mossinghoff
%J Online Journal of Analytic Combinatorics
%D 2008
%I University of Auckland
%X Using combinatorial methods, we derive several formulas for the volume of convex bodies obtained by intersecting a unit hypercube with a halfspace, or with a hyperplane of codimension 1, or with a flat defined by two parallel hyperplanes. We also describe some of the history of these problems, dating to P'{o}lya¡¯s Ph.D. thesis, and we discuss several applications of these formulas.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/26