Intersection of hyperrectangle and hyperpyramid

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1 total messages Started by Wolfgang HOSCHEK Thu, 02 Jul 1998 00:00

#204

Author: Wolfgang HOSCHEK
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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