On asymmetry of some convex bodies

We determine Minkowski's measure of asymmetry for convex hulls of a point and some sets for which the asymmetry is known. Some properties of the asymmetry measure are found which may indicate some interesting properties of convex bodies. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Discrete & computational geometry 2002, Vol.27 (2), p.239-247
Main Authors: Guo, Qi, Kaijser, Sten
Format: Article
Language:English
Subjects:
Asymmetry
Combinatorics
Computational geometry
Convexity
Geometry
Hulls (structures)
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Online Access:Get full text
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Description
Summary:We determine Minkowski's measure of asymmetry for convex hulls of a point and some sets for which the asymmetry is known. Some properties of the asymmetry measure are found which may indicate some interesting properties of convex bodies. [PUBLICATION ABSTRACT]
ISSN:0179-5376
1432-0444
DOI:10.1007/s00454-001-0059-2