The Lebesgue universal covering problem

In 1914 Lebesgue defined a 'universal covering' to be a convex subset of the plane that contains an isometric copy of any subset of diameter 1. His challenge of finding a universal covering with the least possible area has been addressed by various mathematicians: Pál, Sprague and Hansen h...

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Bibliographic Details
Main Authors: John C. Baez, Karine Bagdasaryan, Philip Gibbs
Format: Article
Language:English
Published: Carleton University 2015-09-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/198