2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60304Motivated from Gaussian processes, we derive the intrinsic volumes of the infinite--dimensional Brownian motion body. The method is by discretization to a class of orthoschemes. Numerical support is offered for a conjecture of Sangwine-Yager, and another conjecture is offered on the rate of decay of intrinsic volume sequences.Metric GeometryProbability52A39; 60J65text