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Omni-MATH / Let n≥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 perpendi…

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problem

Let n≥3n \geq 3 be a positive integer. Find the maximum number of diagonals in a regular nn-gon one can select, so that any two of them do not intersect in the interior or they are perpendicular to each other.
Plain-text mathematical notation (without MathML)
Let n≥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.
Original LaTeX notation
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.

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