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A140087
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Decimal expansion of a lower bound of the area of a convex universal cover for a unit length curve.
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OFFSET
| 0,1
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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.
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REFERENCES
| Brass, P., Moser, W. and Pach, J. Research Problems in Discrete geometry, Springer-Verlag, 2005.
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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.
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EXAMPLE
| 0.232239...
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CROSSREFS
| Sequence in context: A053812 A177865 A017828 * A174329 A160558 A023581
Adjacent sequences: A140084 A140085 A140086 * A140088 A140089 A140090
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KEYWORD
| cons,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 31 2011
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