The centre symmetry set

• Autorzy: Peter Giblin , Paul Holtom
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 91-105

Daty

wydano

1999

Twórcy

autor

Peter Giblin

• Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

autor

Paul Holtom

• Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

Bibliografia

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• [9] P. Holtom, Local Central Symmetry for Euclidean Plane Curves, M.Sc. Dissertation, University of Liverpool, Sept. 1997.
• [10] S. Janeczko, Bifurcations of the center of symmetry, Geom. Dedicata 60 (1996), 9-16.
• [11] Liverpool Surface Modelling Package, written by Richard Morris for Silicon Graphics and X Windows. See R. J. Morris, The use of computer graphics for solving problems in singularity theory, in: Visualization in Mathematics, H.-C. Hege and K. Polthier (eds.), Springer, Heidelberg, 1997, 53-66.
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