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A subset X in the k-dimensional Euclidean space that contains n points (elements) is called an n-point isosceles set if every triplet of points selected from them forms an isosceles triangle. In this ...paper, we show that there exist exactly two 11-point isosceles sets up to isomorphism and that the maximum cardinality of isosceles sets in the 4-dimensional Euclidean space is 11.show more
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