Slices, slabs, and sections of the unit hypercube

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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 Polya's Ph.D. thesis, and we discuss several applications of these formulas.
11 pages; minor corrections to references

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Metric Geometry, Combinatorics, 52A38, 52B11 (Primary) 05A19, 60D05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/154598

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607715
 http://arxiv.org/abs/math/0607715
 Online Journal of Analytic Combinatorics, Issue 3 (2008), #1

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arXiv