MathDB
Lengths of diagonals of regular polygon

Source: Kvant Magazine No. 8 2023 M2761

January 9, 2024
geometrylengths

Problem Statement

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