2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157648We study the facial structure and Carathéodory number of the convex hull of an orbit of the group of rotations in R^3 acting on the space of pairs of anisotropic symmetric 3\times 3 tensors. This is motivated by the problem of determining the structure of some proteins in aqueous solution.21 pages. Some mild revisionsMetric Geometry52A20text