MathDB
Wild combo geo appeared!

Source: Baltic Way 2021, Problem 15

November 15, 2021
geometrycombinatorial geometrygeometry proposedcombinatoricscombinatorics proposed

Problem Statement

For which positive integers n≥4n\geq4 does there exist a convex nn-gon with side lengths 1,2,…,n1, 2, \dots, n (in some order) and with all of its sides tangent to the same circle?
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