A measure of axial symmetry of centrally symmetric convex bodies
نویسندگان
چکیده
منابع مشابه
Minimum-Area Axially Symmetric Convex Bodies containing a Triangle and its Measure of Axial Symmetry
Denote by Km the mirror image of a planar convex body K in a straight line m. It is easy to show that K∗ m = conv(K ∪ Km) is the smallest (by inclusion) convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K∗ m is a measure of axial symmetry of K. A question is how to find a line m in order to guarantee that K∗ m be of the smalle...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2010
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm121-2-12