IMO 2016 Shortlist C5

Let n ⩾ 3 be a positive integer. Find the maximum number of diagonals of a regular n-gon one can select, so that any two...

IMO 2016 Shortlist C5

Category: Combinatorics

Problem

Let n ⩾ 3 be a positive integer. Find the maximum number of diagonals of a regular n-gon one can select, so that any two of them do not intersect in the interior or they are perpendicular to each other. 6 IMO 2016 Hong Kong