0/1-polytope

Type of convex polytope A 0/1-polytope is a convex polytope generated by the convex hull of a subset of d coordinates value 0 or 1, {0,1}d.ziegler The full domain is the unit hypercube with cut hyperplanes passing through these coordinates.grunbaum A d-polytope requires at least d + 1 vertices, and can't be all in the same hyperplanes. n-simplex polytopes for example can be generated n + 1 vertices, using the origin, and one vertex along each primary axis, (1,0....), etc. Every simple 0/1-polytope is a Cartesian product of 0/1 simplexes.kw References Grünbaum Branko Branko Grünbaum Convex Polytopes 2003 4.9. Additional notes and comments 69a Springer https://books.google.com/books?id=5iV75P9gIUgC&pg=PA69 Kaibel Volker Wolff Martin 10.1006/eujc.1999.0328 1 European Journal of Combinatorics 1737334 139–144 Simple 0/1-polytopes 21 2000 free Ziegler Günter M. Günter M. Ziegler Lectures on 0/1-polytopes 3-7643-6351-7 1785291 1–41 Birkhäuser Basel DMV Sem. Polytopes—combinatorics and computation (Oberwolfach, 1997) 29 2000 Category:Polytopes Category:Convex hulls Category:Planes (geometry)