Isothermic nets with spherical parameter lines from discrete holomorphic maps
Abstract
Abstract We prove that all discrete isothermic nets with one family of planar or spherical lines of curvature can be obtained from special discrete holomorphic maps via lifted-folding. This novel approach is a generalization and discretization of a classical method to create planar curvature lines on smooth surfaces. In particular, this technique provides an efficient way to construct discrete isothermic topological tori composed of fundamental pieces from discrete periodic holomorphic maps.
Fields of Study & Subjects
Material Science and Thermodynamics
advanced mathematical theories
3D Shape Modeling and Analysis
Publication details
- Journal / source
- International Mathematics Research Notices
- Publisher
- Oxford University Press (OUP)
- Volume
- 2026
- Issue
- 10
- Publication date
- 23 April 2026
- Language
- EN