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• W2069001882 abstract "Grünbaum introduced measures of symmetry for convex bodies that measure how far a given convex body is from a centrally symmetric one. Here, we introduce new measures of symmetry that measure how far a given convex body is from one with “enough symmetries”. To define these new measures of symmetry, we use affine covariant points. We give examples of convex bodies whose affine covariant points are “far apart”. In particular, we give an example of a convex body whose centroid and Santaló point are “far apart”." @default.
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• W2069001882 date "2011-12-01" @default.
• W2069001882 modified "2023-10-16" @default.
• W2069001882 title "New affine measures of symmetry for convex bodies" @default.
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• W2069001882 doi "https://doi.org/10.1016/j.aim.2011.08.002" @default.
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