The volumes of simplices, or, find the penguin

Fima C. Klebaner; Aidan Sudbury; G. A. Watterson

doi:10.1017/S1446788700031694

The volumes of simplices, or, find the penguin

Fima C. Klebaner, Aidan Sudbury, G. A. Watterson

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

Given the equations for the n + 1 hyperplanes that bound an n-simplex in Rⁿ, simple formulae are derived for the contents of the n — r simplices (0 ≤ r ≤ n) embedded in it. For example, when n = 3, the formulae include the volume of the tetrahedron, the areas of its faces and the lengths of its edges. 1980 Mathematics subject classification (Amer. Math. Soc.) (1985 Revision): 14 N 99.

Original language	English
Pages (from-to)	263-268
Number of pages	6
Journal	Journal of the Australian Mathematical Society
Volume	47
Issue number	2
DOIs	https://doi.org/10.1017/S1446788700031694
Publication status	Published - 1 Jan 1989

Keywords

simplex
volume

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10.1017/S1446788700031694

Cite this

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The volumes of simplices, or, find the penguin

Abstract

Keywords

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