3 citations · 4 across the 3 of their papers we have counts for
3 papers
Constant mean curvature surfaces from ring patterns: Geometry from combinatorics
Alexander I. Bobenko, Tim Hoffmann, Nina Smeenk
We define discrete constant mean curvature (cmc) surfaces in the three-dimensional Euclidean and Lorentz spaces in terms of sphere packings with orthogonally intersecting circles.…
Skew parallelogram nets and universal factorization
Tim Hoffmann, Andrew O. Sageman-Furnas, Jannik Steinmeier
We obtain many objects of discrete differential geometry as reductions of skew parallelogram nets, a system of lattice equations that may be formulated for any unit associative alg…
Isothermic tori with one family of planar curvature lines and area constrained hyperbolic elastica
Alexander I. Bobenko, Tim Hoffmann, Andrew O. Sageman-Furnas
In 1883, Darboux gave a local classification of isothermic surfaces with one family of planar curvature lines using complex analytic methods. His choice of real reduction cannot co…