420 citations · 1.3k across the 61 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…
Discrete and smooth orthogonal systems: -approximation
A. I. Bobenko, D. Matthes, Yu. B. Suris
Discrete conjugate systems are quadrilateral nets with all planar faces. Discrete orthogonal systems are defined by the additional property of all faces being concircular. Their ge…
Hexagonal circle patterns with constant intersection angles and discrete Painleve and Riccati equations
S. I. Agafonov, A. I. Bobenko
Hexagonal circle patterns with constant intersection angles mimicking holomorphic maps z^c and log(z) are studied. It is shown that the corresponding circle patterns are immersed a…