The centre symmetry set

  • Giblin P
  • Holtom P
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Abstract

A centrally symmetric plane curve has a point called it's centre of symmetry. We define (following Janeczko) a set which measures the central symmetry of an arbitrary strictly convex plane curve, or surface in R 3 . We investigate some of it's properties, and begin the study of non-convex cases.

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Giblin, P., & Holtom, P. (1999). The centre symmetry set. Banach Center Publications, 50(1), 91–105. https://doi.org/10.4064/-50-1-91-105

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