The resistance between two arbitrary nodes in an infinite square lattice of identical resistors is calculated. The method is generalized to infinite triangular and hexagonal lattices in two dimensions, and also to infinite cubic and hypercubic lattices in three and more dimensions.
%0 Journal Article
%1 atkinson99
%A Atkinson, D.
%A van Steenwijk, F. J.
%D 1999
%J American Journal of Physics
%K circuit effective.resistance network physics resistor
%N 6
%P 486--492
%R 10.1119/1.19311
%T Infinite Resistive Lattices
%V 67
%X The resistance between two arbitrary nodes in an infinite square lattice of identical resistors is calculated. The method is generalized to infinite triangular and hexagonal lattices in two dimensions, and also to infinite cubic and hypercubic lattices in three and more dimensions.
@article{atkinson99,
abstract = {The resistance between two arbitrary nodes in an infinite square lattice of identical resistors is calculated. The method is generalized to infinite triangular and hexagonal lattices in two dimensions, and also to infinite cubic and hypercubic lattices in three and more dimensions.},
added-at = {2016-04-24T13:55:43.000+0200},
author = {Atkinson, D. and van Steenwijk, F. J.},
biburl = {https://www.bibsonomy.org/bibtex/2157422a5e5a6e3e306f5b5ec8f64861b/ytyoun},
doi = {10.1119/1.19311},
eid = {486},
interhash = {a4063e7957144521ce2836192b16dbd1},
intrahash = {157422a5e5a6e3e306f5b5ec8f64861b},
journal = {American Journal of Physics},
keywords = {circuit effective.resistance network physics resistor},
number = 6,
pages = {486--492},
timestamp = {2016-04-25T14:53:12.000+0200},
title = {Infinite Resistive Lattices},
volume = 67,
year = 1999
}