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
KEYWORD
cons,nonn
AUTHOR
Jonathan Vos Post, Jan 31 2011
STATUS
approved