Abstract
Let be a finite set of points in the plane. For any set of points in the plane, denotes the number of similar copies of contained in . For a fixed , Erdős and Purdy asked for the maximum possible value of , denoted by , over all sets of points in the plane. We consider this problem when is the set of vertices of an isosceles right triangle. We give exact solutions when , and provide new upper and lower bounds for .
Citation
Bernardo Ábrego. Silvia Fernández. David Roberts. "On the maximum number of isosceles right triangles in a finite point set." Involve 4 (1) 27 - 42, 2011. https://doi.org/10.2140/involve.2011.4.27
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