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A Single Inequality Condition for the Existence of Many \(r\)-gons

by Murray S. Klamkin (University of Alberta) and Krzysztof Witczynski (University of Technology Warsaw)

This article originally appeared in:
Mathematics Magazine
December, 1990

Subject classification(s): Polygons | Plane Geometry | Geometry and Topology
Applicable Course(s): 4.9 Geometry | 4.1 Introduction to Proofs

Given positive integers \(n\geq 3\), the author finds a single inequality condition for every \(r\) of them (\(3 \leq r \leq n \)) to be the lengths of sides of a \(r\)-gon.

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