3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.MG2025
Flexible polyhedral nets in isotropic geometry
O. Pirahmad, H. Pottmann, M. Skopenkov
We study flexible polyhedral nets in isotropic geometry. This geometry has a degenerate metric, but there is a natural notion of flexibility. We study infinitesimal and finite flex…
math.MG2024★ 3 cited
Area preserving Combescure transformations
O. Pirahmad, H. Pottmann, M. Skopenkov
Motivated by the design of flexible nets, we classify all nets of arbitrary size m x n that admit a continuous family of area-preserving Combescure transformations. There are just…
math.CO2021
Intersecting diametral balls induced by a geometric graph
Olimjoni Pirahmad, Alexandr Polyanskii, Alexey Vasilevskii
For a graph whose vertex set is a finite set of points in the Euclidean -space consider the closed (open) balls with diameters induced by its edges. The graph is called a (an op…