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A175769
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Maximum cardinality of isosceles sets in E^n.
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0
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OFFSET
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1,1
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COMMENTS
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An isosceles set is a set of points in a plane or in space, any three of which form an isosceles triangle.
In his 1946 problem Erdős notes that a(2) = 6 and asks for the value of a(3); L. M. Kelly proves that a(2) = 6 and shows that a(3) >= 9. The editors note that Kelly disproves a conjecture of Coxeter. - Charles R Greathouse IV, May 21 2021
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LINKS
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Paul Erdős and L. M. Kelly, Isosceles n-points, The American Mathematical Monthly, vol. 54, no. 4 (April 1947), pp. 227-229.
Yury J. Ionin, Isosceles Sets, The Electronic Journal of Combinatorics, Vol. 16, No. 1 (2009), R141.
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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