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cs.CG2025
Braiding vineyards
Erin Chambers, Christopher Fillmore, Elizabeth Stephenson +1
In this work, we introduce and study what we believe is an intriguing and, to the best of our knowledge, previously unknown connection between two areas in computational topology,…
cs.CG2025
Counting Equilibria of the Electrostatic Potential
Herbert Edelsbrunner, Christopher Fillmore, Gonçalo Oliveira
In 1873, James C. Maxwell conjectured that the electric field generated by point charges in generic position has at most isolated zeroes. The first (non-optimal) uppe…