Every Simple Arrangement of n Lines Contains an Inducing Simple n-gon

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We show that for any arrangement A of n ≥ 3 lines in general position in the plane there exists a simple closed polygon with n edges having the property that every edge of the polygon lies on a distinct line of A.

Document Type: Short Communication

DOI: http://dx.doi.org/10.4169/amer.math.monthly.118.02.164

Publication date: February 1, 2011

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