Experiments with Polygonal and Polyhedral Resistive Structures

In this work the equivalent resistors of eight regular polygonal and five polyhedral resistive structures are studied experimentally. The structures were constructed using commercial precision resistors of 1.209 kΩ ±0.5 % and the resistances were measured using multimeters available in any physics laboratory. The resistance dependence of the polygonal structures with relation to the vertex number and its convergence was determined. For polyhedral structures the resistances were measured across nodes. We found that the experimental equivalent resistance for all the structures shows good concordance with the theoretical predictions. This experiment offers the opportunity to shows students the use of symmetry in physics.