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2021 JMPSC Invitationals Problems/Problem 2

Revision as of 15:27, 11 July 2021 by Samrocksnature (talk | contribs) (→‎Solution)

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 $\boxed{16}$ points, where each side of one quadrilteral intersects all four sides of the other quadrilateral.

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