Kakeya problem

Kakeya problem

[kä ′kā·ə ‚präb·ləm]
(mathematics)
The problem of finding the plane figure of least area within which a unit line segment can be moved continuously so as to return to its original position with its end points reversed; in fact, there is no such minimum area.
References in periodicals archive ?
Algebraic methods in discrete analogs of the Kakeya problem. Advances Math., 225:2828-2839, 2010.
The Kakeya problem. The American Mathematical Monthly, 70:697-706, 1963.