Affiliation:
1. UIUC , 1409 W Green St. , Urbana , IL 61801 , USA
Abstract
Abstract
In this detailed study of 3-segment non-convex simple arcs inscribed in the
30
∘
{30^{\circ}}
sector, we show that each such arc of length one fits in the interior of the sector of radius one with the prescribed embedding. We discuss implications of this study for covering problems
involving triangular covers and for the worm problem of Leo Moser.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
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