3 papers
cs.CG2025
Unlocking Euclidean Problems with Isotropic Initialization
Khusrav Yorov, Bolun Wang, Mikhail Skopenkov +2
Many problems in Euclidean geometry, arising in computational design and fabrication, amount to a system of constraints, which is challenging to solve. We suggest a new general app…
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
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…