Displaying similar documents to “Some remarks on duality in S 3

The centre symmetry set

Peter Giblin, Paul Holtom (1999)

Banach Center Publications

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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.