Convex Hulls of Orbits and Orientations of a Moving Protein Domain

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Abstract
We study the facial structure and Carath\'eodory 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.

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