2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72878We present new links between some remarkable martingales found in the study of the Binary Search Tree, or of the Bisection Problem, looking at them on the probability space of a continuous time binary branching process.Companion paper of arXiv:math.PR/0410211Probability60J25; 60J80; 68W40; 60C05; 60G42; 60G44text