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Geometry puzzle to end off 2022! Disk covering problem
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#maths #mathematics #puzzle
The disk covering problem asks for the smallest real number r(n) such that n disks of radius r(n) can be arranged in such a way as to cover the unit disk. Dually, for a given radius epsilon, one wishes to find the smallest integer n such that n disks of radius epsilon can cover the unit disk.
Hope you enjoy this little #geometry puzzle which you can use to challenge your friends!
There's one final Codeforces contest in a couple of hours' time if you are interested. See you in 2023 with math olympiad / competitive programming videos on USAMO, APMO, IMO, Google Code Jam, and more!
The disk covering problem asks for the smallest real number r(n) such that n disks of radius r(n) can be arranged in such a way as to cover the unit disk. Dually, for a given radius epsilon, one wishes to find the smallest integer n such that n disks of radius epsilon can cover the unit disk.
Hope you enjoy this little #geometry puzzle which you can use to challenge your friends!
There's one final Codeforces contest in a couple of hours' time if you are interested. See you in 2023 with math olympiad / competitive programming videos on USAMO, APMO, IMO, Google Code Jam, and more!
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