Slices , Slabs , and Sections of the Unit Hypercube

@inproceedings{Marichal2006SlicesS,
  title={Slices , Slabs , and Sections of the Unit Hypercube},
  author={Jean-Luc Marichal and Michael J. Mossinghoff},
  year={2006}
}
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 Pólya’s Ph.D. thesis, and we discuss several applications of these formulas. 
Highly Cited
This paper has 18 citations. REVIEW CITATIONS