2006Applicationes MathematicaeOpen access

Uniform decompositions of polytopes

Daniel Berend, Luba Bromberg

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Abstract

We design a method of decomposing convex polytopes into simpler polytopes. This decomposition yields a way of calculating exactly the volume of the polytope, or, more generally, multiple integrals over the polytope, which is equivalent to the way suggest

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What this paper is about

We design a method of decomposing convex polytopes into simpler polytopes. This decomposition yields a way of calculating exactly the volume of the polytope, or, more generally, multiple integrals over the polytope, which is equivalent to the way suggest

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Available abstract

We design a method of decomposing convex polytopes into simpler polytopes. This decomposition yields a way of calculating exactly the volume of the polytope, or, more generally, multiple integrals over the polytope, which is equivalent to the way suggest

Key concepts: Polytope, Polytope model, Mathematics, Combinatorics, Regular polygon, Convex polytope, Decomposition, Convex set

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