3 papers
math.MG2025
Stressability of Semi-Discrete Frameworks
Oleg Karpenkov, Christian Müller, Anna Pratoussevitch
In this paper we study the stressability of semi-discrete frameworks in the plane which are generated by a discrete sequence of smooth curves. We characterize their stressability p…
math.NT2024
Circumscribed Circles in Integer Geometry
Oleg Karpenkov, Anna Pratoussevitch, Rebecca Sheppard
Integer geometry on a plane deals with objects whose vertices are points in . The congruence relation is provided by all affine transformations preserving the lattice…
math.GT2024
Complex Hyperbolic Triangle Groups of Type
Sam Povall, Anna Pratoussevitch
In this paper we study the discreteness of complex hyperbolic triangle groups of type , i.e. groups of isometries of the complex hyperbolic plane generated by…