An example of the relevance of symmetry in physics: corner theorems in grids and cubic resistor networks

DOI10.1088/1361-6404/AB7A7EOpenAlexW3017177428MaRDI QIDQ5889479

Frédéric Perrier, Frédéric Girault

Publication date: 20 April 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/ab7a7e

zbMATH Keywords

resistive networksequivalent resistanceKennelly's theoremvan Steenwijk's method

Mathematics Subject Classification ID

Convex and discrete geometry (52-XX) Geometry (51-XX)

Related Items (2)

Symmetries, recurrence, and explicit expressions of two-point resistances in 2 × n globe resistor networks ⋮ Rotational invariance in resistor networks: two-point resistances around an n-fold corner

Cites Work

• Electrical characteristics of a class of \(n\)-order triangular network
• Theory of resistor networks: the two-point resistance
• Resistor Networks based on Symmetrical Polytopes
• The exact evaluation of the corner-to-corner resistance of anM×Nresistor network: asymptotic expansion

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