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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Computing volumes of polyhedra

Authors: Eugene L. Allgower and Phillip H. Schmidt
Journal: Math. Comp. 46 (1986), 171-174
MSC: Primary 51M25; Secondary 26B15, 65D32
MathSciNet review: 815838
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Abstract: In this note we give two simple methods for calculating the volume of any closed bounded polyhedron in ${{\mathbf {R}}^n}$ having an orientable boundary which is triangulated into a set of $(n - 1)$-dimensional simplices. The formulas given require only coordinates of the vertices of the polyhedron.

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Keywords: Volume, polytopes
Article copyright: © Copyright 1986 American Mathematical Society