Resistor Networks based on Symmetrical Polytopes

Autor: Jeremy Moody, P.K. Aravind
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Graph Theory and Applications, Vol 3, Iss 1, Pp 56-69 (2015)
Druh dokumentu: article
ISSN: 2338-2287
DOI: 10.5614/ejgta.2015.3.1.7
Popis: This paper shows how a method developed by Van Steenwijk can be generalized to calculate the resistance between any two vertices of a symmetrical polytope all of whose edges are identical resistors. The method is applied to a number of cases that have not been studied earlier such as the Archimedean polyhedra and their duals in three dimensions, the regular polytopes in four dimensions and the hypercube in any number of dimensions.
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