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Finding the equivalent resistance of an infinite ladder circuit is aclassical problem in physics. We expand this well-known challenge to newclasses of network topologies, in which the unit cells are much more entangledtogether. The exact analytical results there can still be obtained withelementary methods. These topology classes will add layers of complexity andmuch more diversity to a very popular kind of physics puzzles for teachers andstudents.

Elementary Methods for Infinite Resistive Networks with Complex Topologies