Abstract
We study the facial structure and Carathéodory number of the convex hull of an orbit of the group of rotations in ℝ3 acting on the space of pairs of anisotropic symmetric 3×3 tensors. This is motivated by the problem of determining the structure of some proteins in an aqueous solution.
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Work of Sottile supported by NSF CAREER grant DMS-0538734 and Peter Gritzmann of Technische Universität München.
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Longinetti, M., Sgheri, L. & Sottile, F. Convex Hulls of Orbits and Orientations of a Moving Protein Domain. Discrete Comput Geom 43, 54–77 (2010). https://doi.org/10.1007/s00454-008-9076-8
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DOI: https://doi.org/10.1007/s00454-008-9076-8