M2761

Part of Kvant 2023

Problems(1)

Lengths of diagonals of regular polygon

Source: Kvant Magazine No. 8 2023 M2761

Is it possible to fit a regular polygon into a circle of radius one so that among the lengths of its diagonals there are 2023 different values whose product is equal to one?
Proposed by A. Kuznetsov

geometrylengths