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math.GT2024
Squared Distance Function on the Configuration Space of a planar Spider with Applications to Hooke Energy and Voronoi Distance
Maciej Denkowski, Gaiane Panina, Dirk Siersma
Spider mechanisms are the simplest examples of arachnoid mechanisms, they are one step more complicated than polygonal linkages. Their configuration spaces have been studied intens…
math.MG2024
Concurrent normals problem for convex polytopes and Euclidean distance degree
Ivan Nasonov, Gaiane Panina, Dirk Siersma
It is conjectured since long that for any convex body there exists a point in its interior which belongs to at least normals from different points on t…