Discrete Koenigs Nets and Discrete Isothermic Surfaces

DOI10.1093/imrn/rnp008zbMath1171.53003arXiv0709.3408OpenAlexW3106164229MaRDI QIDQ3638212

Alexander Ivanovich Bobenko, Yuri Borisovich Suris

Publication date: 2 July 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3408

zbMATH Keywords

isothermic surfacesdiscrete Koenigs nets

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Discrete geometry (52C99) Polyhedral manifolds (52B70)

Related Items

Planar discrete isothermic nets of conical type, Oriented mixed area and discrete minimal surfaces, Discrete maximal surfaces with singularities in Minkowski space, Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets, The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space, Conformal hexagonal meshes, Discrete Minimal Surfaces of Koebe Type, Smooth and discrete cone-nets, Semi-discrete isothermic surfaces, Solving Minimal Surface Problems on Surfaces and Point Clouds, Discretizations of surfaces with constant ratio of principal curvatures, A curvature theory for discrete surfaces based on mesh parallelity, S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature