Abstract.
This article concerns two measures of central symmetry that characterize cones as the most asymmetric convex bodies. Stability estimates are established that provide information on the deviation of a convex body from a cone if the corresponding measure of symmetry is close to its maximum value.
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Received January 4, 1999, and in revised form May 24, 1999. Online publication May 15, 2000.
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Groemer, H. Stability Theorems for Two Measures of Symmetry. Discrete Comput Geom 24, 301–312 (2000). https://doi.org/10.1007/s004540010037
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DOI: https://doi.org/10.1007/s004540010037