Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 2"
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We find that it is possible to construct the maximal <math>\boxed{16}</math> points, where each side of one quadrilteral intersects all four sides of the other quadrilateral. | We find that it is possible to construct the maximal <math>\boxed{16}</math> points, where each side of one quadrilteral intersects all four sides of the other quadrilateral. | ||
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Revision as of 14:27, 11 July 2021
Problem
Two quadrilaterals are drawn on the plane such that they share no sides. What is the maximum possible number of intersections of the boundaries of the two quadrilaterals?
Solution
We find that it is possible to construct the maximal points, where each side of one quadrilteral intersects all four sides of the other quadrilateral.