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INFINITE PATHS WITH NO SMALL ANGLES
Published online by Cambridge University Press: 10 December 2009
Abstract
It is shown here that given a discrete (and infinite) set of points in the plane, it is possible to arrange them on a polygonal path so that every angle on the polygonal path is at least 9∘. This has been known to hold for finite sets (with 20∘). The main result holds for discrete sets in higher dimensions as well, with a smaller bound on the angle.
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- Research Article
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- Copyright © University College London 2010
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