5 citations · 7 across the 2 of their papers we have counts for
6 papers
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 curves in CP1 and the Toda lattice
Tim Hoffmann, Nadja Kutz
In this paper we investigate flows on discrete curves in $\C^2$, $\CP^1$, and $\C$. A novel interpretation of the one dimensional Toda lattice hierarchy and reductions thereof as f…
Hexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles
Alexander I. Bobenko, Tim Hoffmann
Hexagonal circle patterns with constant intersection angles are introduced and studied. It is shown that they are described by discrete integrable systems of Toda type. Conformally…
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice
A. I. Bobenko, T. Hoffmann, Yu. B. Suris
Hexagonal circle patterns are introduced, and a subclass thereof is studied in detail. It is characterized by the following property: For every circle the multi-ratio of its six in…
Discrete Hashimoto surfaces and a doubly discrete smokering flow
Tim Hoffmann
Bäcklund transformations for smooth and ``space discrete'' Hashimoto surfaces are discussed and a geometric interpretation is given. It is shown that the complex curvature of a dis…
Conformally symmetric circle packings. A generalization of Doyle spirals
Alexander I. Bobenko, Tim Hoffmann
From the geometric study of the elementary cell of hexagonal circle packings --- a flower of 7 circles --- the class of conformally symmetric circle packings is defined. Up to Moeb…