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math.MG2019
Voronoi Cells in Metric Algebraic Geometry of Plane Curves
Madeline Brandt, Madeleine Weinstein
Voronoi cells of varieties encode many features of their metric geometry. We prove that each Voronoi or Delaunay cell of a plane curve appears as the limit of a sequence of cells o…
math.MG2017
Optimal Packings of Two to Four Equal Circles on Any Flat Torus
Madeline Brandt, William Dickinson, AnnaVictoria Ellsworth +2
We find explicit formulas for the radii and locations of the circles in all the optimally dense packings of two, three or four equal circles on any flat torus, defined to be the qu…