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%I #16 Mar 30 2012 18:40:45
%S 2,3,2,2,3,9,2,1,0
%N Decimal expansion of a lower bound of the area of a convex universal cover for a unit length curve.
%C Abstract: In this paper, we provide a lower bound for an area of the convex hull of points and a rectangle in a plane. We then apply this estimate to establish a lower bound for a universal cover problem. We showed that a convex universal cover for a unit length curve has area at least 0.232239. In addition, we show that a convex universal cover for a unit closed curve has area at least 0.0879873.
%D Brass, P., Moser, W. and Pach, J. Research Problems in Discrete geometry, Springer-Verlag, 2005.
%H Tirasan Khandhawit, Dimitrios Pagonakis, Sira Sriswasdi, <a href="http://arxiv.org/abs/1101.5638">Lower Bound for Convex Hull Area and Universal Cover Problems </a>, Jan 28, 2011.
%H Khandhawit, T. and Sriswasdi, S. <a href="http://arxiv.org/abs/math.MG/0701391">An Improved Lower Bound for Moser's Worm Problem</a>, v2., June 5, 2009.
%e 0.232239...
%K cons,nonn
%O 0,1
%A _Jonathan Vos Post_, Jan 31 2011
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