Small Convex Covers for Convex Unit Arcs
نویسنده
چکیده
More than 40 years ago, Leo Moser stated a geometry problem on the plane asking for the least-area set that contains a congruent copy of every unit arc. The smallest set known, by Norwood and Poole in 2004, has area 0.26043. One interesting related problem is to focus on a set that contains a congruent copy of every convex unit arc. Such a set is called a cover for convex unit arcs. The smallest cover known, by Wichiramala in 2005, has area 0.2464. In this work we establish a smaller cover for convex unit arcs of area less than 0.242.
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تاریخ انتشار 2010