Bezdek's annular plank conjecture

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Start with a unit disk and remove a sufficiently small concentric circular hole, obtaining an annulus. Cover the annulus by a collection of planks.

Bezdek's conjecture. The total width of the planks is at least 11.

The conjecture is attributed to Bezdek and is stated as open in the supplied status evidence.

References

Primary source

Zilin Jiang and Alexandr Polyanskii, “Proof of László Fejes Tóth's zone conjecture”, arXiv:1703.10550 (2017).

Additional references

2 papers in this index state this conjecture (2009–2017). The statement above is taken from the most recent of them; the others are arXiv:0903.4637.

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