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Article #204Intersection of hyperrectangle and hyperpyramid
From: Wolfgang HOSCHEK
Date: Thu, 02 Jul 1998 00:00
Date: Thu, 02 Jul 1998 00:00
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Hello, I am stuck on the following question: Given an arbitrary hyperrectangle R located inside the unit hypercube [0,1]^dim and a hyperpyramid P with its base being a given face f of the 2*dim faces of the unit hypercube and its top being the centerpoint 0.5^dim, then what is the Volume(Intersection(P,R))? If anyone has thought of a similar question, could you give me a hand? I would appreciate it a lot. Thank you, Wolfgang
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 1139f8,d963fc53624c72f8,start X-Google-Attributes: gid1139f8,public X-Google-Thread: 1032cb,d963fc53624c72f8,start X-Google-Attributes: gid1032cb,public X-Google-Thread: 1077c2,d963fc53624c72f8,start X-Google-Attributes: gid1077c2,public X-Google-Thread: 10d29f,d963fc53624c72f8,start X-Google-Attributes: gid10d29f,public X-Google-Thread: 10d67e,d963fc53624c72f8,start X-Google-Attributes: gid10d67e,public From: Wolfgang HOSCHEK <Wolfgang.Hoschek@cern.ch> Subject: Intersection of hyperrectangle and hyperpyramid Date: 1998/07/02 Message-ID: <359BC60E.B60EBF54@cern.ch> X-Deja-AN: 368161302 Content-Transfer-Encoding: 7bit Approved: Daniel Grayson <dan@math.uiuc.edu>, moderator for sci.math.research Mime-Version: 1.0 Originator: dan@orion.math.uiuc.edu Content-Type: text/plain; charset=us-ascii X-Complaints-To: news@sunnews.cern.ch X-Trace: sunnews.cern.ch 899401228 29226 (None) 137.138.35.49 Organization: CERN - European Laboratory for Particle Physics Newsgroups: sci.math.research,fr.sci.maths,de.sci.mathematik,aus.mathematics,alt.uu.math.misc