volume 32, issue 1, P141-147 2004
DOI: 10.1007/s00454-004-0840-0
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Abstract: An arc in the plane is convex if it is simple (i.e., one-one except that its endpoints may coincide) and lies on the boundary of its convex hull. We describe a compact convex plane set of area about 0.2466 that contains a congruent copy of each convex plane arc of unit length, a reduction of about 1.1% from the smallest such set previously known.

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