3 papers
math.MG2026
Directional curvature and medial axis
Adam BiaÅożyt, Dominik Bysiewicz, Maciej P. Denkowski
The medial axis of a closed set is the set of points from the ambient space that admit more than one closest point in . We study the problem of rea…
math.GT2025
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.AG2024
Universality theorem for LNE Hölder triangles
Lev Birbrair, Maciej Denkowski, Davi Lopes Medeiros +1
We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded Hölder triangles in . In contrast to the case of there are infinitely m…