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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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0
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OFFSET
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0,1
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COMMENTS
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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
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Brass, P., Moser, W. and Pach, J. Research Problems in Discrete geometry, Springer-Verlag, 2005.
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LINKS
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EXAMPLE
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0.232239...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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