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A140087
Decimal expansion of a lower bound of the area of a convex universal cover for a unit length curve.
0
2, 3, 2, 2, 3, 9, 2, 1, 0
OFFSET
0,1
COMMENTS
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.
REFERENCES
Brass, P., Moser, W. and Pach, J. Research Problems in Discrete geometry, Springer-Verlag, 2005.
LINKS
Tirasan Khandhawit, Dimitrios Pagonakis, Sira Sriswasdi, Lower Bound for Convex Hull Area and Universal Cover Problems , Jan 28, 2011.
Khandhawit, T. and Sriswasdi, S. An Improved Lower Bound for Moser's Worm Problem, v2., June 5, 2009.
EXAMPLE
0.232239...
CROSSREFS
Sequence in context: A307835 A341651 A017828 * A174329 A295312 A212174
KEYWORD
cons,nonn
AUTHOR
Jonathan Vos Post, Jan 31 2011
STATUS
approved