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 Mar 29 awarded Nice Question Sep 3 awarded Popular Question Mar 9 awarded Popular Question Oct 25 revised Properties of the minimum circumscribing circle for points sequentially placed within a circle of radius $r$ of previously placed points on a 2D plane added 36 characters in body Oct 25 asked Properties of the minimum circumscribing circle for points sequentially placed within a circle of radius $r$ of previously placed points on a 2D plane Oct 21 awarded Supporter Oct 21 accepted Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice Oct 21 comment Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice Ahem, peaks in terms of the number of lattice points internal to the circle. Oct 21 comment Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice @Michael Biro If a circle of radius $r$ were to execute something like a Brownian motion on a lattice, would we really only expect peaks when its center drifts over a small set of points in the fundamental unit of the Z^2 or A^2 lattices? Oct 21 comment Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice @Michael Biro "I want to say that by symmetry, the only relevant centers are lattice points, midpoints of square edges, and centers of squares..." right, I think that makes a lot of sense... but is there any way to make this statement rigorous? Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice deleted 20 characters in body Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice added 322 characters in body; deleted 5 characters in body; added 121 characters in body Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice added 558 characters in body; added 1 characters in body Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice added 499 characters in body Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice added 93 characters in body Oct 21 revised Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice added 10 characters in body; deleted 10 characters in body Oct 21 asked Maximizing the number of lattice points in a circle of radius $r$ placed on a lattice Oct 20 accepted An exact counting solution for the number of points within a circle of radius $r$ centered on a lattice point in a $A_2$ hexagonal lattice Oct 20 comment An exact counting solution for the number of points within a circle of radius $r$ centered on a lattice point in a $A_2$ hexagonal lattice @Yoav I was following what Will Sawin was doing, but to make sure I understand, could you quickly note your approach? Oct 20 awarded Commentator