2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97938Prompted by an example arising in critical percolation, we study some reflected Brownian motions in symmetric planar domains and show that they are intertwined with one-dimensional diffusions. In the case of a wedge, the reflected Brownian motion is intertwined with the 3-dimensional Bessel process. This implies some simple hitting distributions and sheds some light on the formula proposed by Watts for double-crossing probabilities in critical percolation.18 pages, 5 figuresProbability60F17; 60J10; 60J25; 82B43text