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International Journal of Mathematical Education in Science and Technology Volume 44, 2013 - Issue 1
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Classroom Notes

The resistance of an n-dimensional tetrahedron

Martin Griffiths School of Education, University of Manchester, Oxford Road, Manchester M13 9PL, UKCorrespondence[email protected] [email protected]
Pages 111-116 | Received 21 Aug 2011, Published online: 27 Feb 2012
 
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Abstract

We consider here a problem that is suitable for introducing high-school students to the notion of generalizing shapes and solids to n dimensions. In particular, we calculate the effective resistance between any two vertices of an n-dimensional tetrahedron whose edges are each 1-Ω resistors. This leads, in a natural way, to more demanding problems, and indeed ideas for more advanced work in this area are also suggested.

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