# 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)

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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