"A Small Cover for Convex Unit Arcs" by Joseph A. Johnson, George D. Poole et al.
 

A Small Cover for Convex Unit Arcs

Document Type

Article

Publication Date

1-1-2004

Description

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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