Springer (part of Springer Nature), Discrete & Computational Geometry, 1(43), p. 54-77
DOI: 10.1007/s00454-008-9076-8
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We 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.