The resistance of an n-dimensional tetrahedron

• Autores: Martin Griffiths
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 1, 2013, págs. 111-116
• Idioma: inglés
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• Resumen

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