IMO Shortlist 2016 problem C5
Dodao/la:
arhiva3. listopada 2019. Let be a positive integer. Find the maximum number of diagonals in a regular -gon one can select, so that any two of them do not intersect in the interior or they are perpendicular to each other.
Let $n \geq 3$ be a positive integer. Find the maximum number of diagonals in 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.
Izvor: https://www.imo-official.org/problems/IMO2016SL.pdf