The centre symmetry set
Volume 50 / 1999
Banach Center Publications 50 (1999), 91-105
DOI: 10.4064/-50-1-91-105
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.
