Abstract
Take a unit square and turn it into an annulus by cutting a parallel square hole in it. We prove that if the square hole has edge length $1 - 1/ \sqrt2 \approx 0.29$ and a finite number of strips cover the annulus, then after appropriate rearrangement the same strips can cover the unit square as well.
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Bezdek, A. Covering an Annulus by Strips. Discrete Comput Geom 30, 177–180 (2003). https://doi.org/10.1007/s00454-003-0002-y
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DOI: https://doi.org/10.1007/s00454-003-0002-y