Volume of Hypercubes Clipped by Hyperplanes and Combinatorial Identities

zbMath1444.52003arXiv1512.07768MaRDI QIDQ3299334

Yunhi Cho, Seonhwa Kim

Publication date: 22 July 2020

Full work available at URL: https://arxiv.org/abs/1512.07768

zbMATH Keywords

volumehypercubecombinatorial identity

Mathematics Subject Classification ID

Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (1)

Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers

Cites Work

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• An analytical expression and an algorithm for the volume of a convex polyhedron in \(R^ n\).
• The volume of simplices clipped by a half space
• The problem of calculating the volume of a polyhedron is enumerably hard
• Polytope Volume Computation
• On the Complexity of Computing the Volume of a Polyhedron
• The volume of duals and sections of polytopes
• Spline Notation Applied to a Volume Problem
• What is known about unit cubes

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