8 citations · 10 across the 3 of their papers we have counts for
3 papers · 1 filter
Minimal surfaces from circle patterns: Geometry from combinatorics
Alexander I. Bobenko, Tim Hoffmann, Boris A. Springborn
We suggest a new definition for discrete minimal surfaces in terms of sphere packings with orthogonally intersecting circles. These discrete minimal surfaces can be constructed fro…
Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions
Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A. Springborn
We present a global representation for surfaces in 3-dimensional hyperbolic space with constant mean curvature 1 (CMC-1 surfaces) in terms of holomorphic spinors. This is a modific…
Orthogonal nets and Clifford algebras
Alexander I. Bobenko, Udo J. Hertrich-Jeromin
A Clifford algebra model for M"obius geometry is presented. The notion of Ribaucour pairs of orthogonal systems in arbitrary dimensions is introduced, and the structure equations f…