منابع مشابه
A Question from a Famous Paper of Erdős
Given a convex body K , consider the smallest number N so that there is a point P ∈ ∂K such that every circle centred at P intersects ∂K in at most N points. In 1946 Erdős conjectured that N = 2 for all K , but there are convex bodies for which this is not the case. As far as we know there is no known global upper bound. We show that no convex body has N = ∞ and that there are convex bodies for...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2013
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-013-9507-z