Slices, slabs, and sections of the unit hypercube

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dc.creatorMarichal, Jean-Luc
dc.creatorMossinghoff, Michael J.
dc.date2006-07-27
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:20:00Z
dc.date.available2026-07-07T09:20:00Z
dc.descriptionUsing 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.
dc.description11 pages; minor corrections to references
dc.identifierhttps://arxiv.org/abs/math/0607715
dc.identifierhttp://arxiv.org/abs/math/0607715
dc.identifierOnline Journal of Analytic Combinatorics, Issue 3 (2008), #1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154598
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject52A38, 52B11 (Primary) 05A19, 60D05 (Secondary)
dc.titleSlices, slabs, and sections of the unit hypercube
dc.typetext

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