2021-17 distributing points on the sphere

On the sphere of radius r, how many points one can put if any two points must be distance at least 1 apart? How fast does this number grow as a function in r?

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About Hyungryul

2003.3-2009.8 KAIST, Undergraduate student in Mathematics 2009.8-2014.8 Cornell University, PhD student in Mathematics 2014.9-2017.2 University of Bonn, Postdoc 2017.3-2021.2. KAIST, Assistant Professor 2021.3-Present. KAIST, Associate Professor