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math.DG2019★ 1 cited
Equilibria of plane convex bodies
Jonas Allemann, Norbert Hungerbühler, Micha Wasem
We obtain a formula for the number of horizontal equilibria of a planar convex body with respect to a center of mass in terms of the winding number of the evolute of $\part…
math.CO2019
Lights Out on graphs
Abraham Berman, Franziska Borer, Norbert Hungerbühler
We model the Lights Out game on general simple graphs in the framework of linear algebra over the field . Based upon a version of the Fredholm alternative, we introduc…