9 papers
Bistable Quad-Nets Composed of Four-Bar Linkages
Gudrun Szewieczek, Daniel Huczala, Martin Pfurner +1
We study a novel type of mechanical structures, composed of spatial four-bar linkages, that are bistable, that is, they allow for two distinct configurations. These structures have…
A Bianchi-Calo method for Bryant type surfaces
F. E. Burstall, U. Hertrich-Jeromin, G. Szewieczek
We present a Bianchi-Calo type construction method for Bryant type linear Weingarten surfaces in hyperbolic space.
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves
Tim Hoffmann, Jannik Steinmeier, Gudrun Szewieczek
We propose a notion of discrete elastic and area-constrained elastic curves in 2-dimensional space forms. Our definition extends the well-known discrete Euclidean curvature equatio…
Isothermic nets with spherical parameter lines from discrete holomorphic maps
Tim Hoffmann, Gudrun Szewieczek
We prove that all discrete isothermic nets with a family of planar or spherical lines of curvature can be obtained from special discrete holomorphic maps via lifted-folding. This n…
Dupin cyclidic systems geometrically revisited
Gudrun Szewieczek
The induced metrics of Dupin cyclidic systems, that is, orthogonal coordinate systems with Dupin cyclides and spheres as coordinate surfaces, were provided by Darboux. Here we take…
Constrained elastic curves and surfaces with spherical curvature lines
Joseph Cho, Mason Pember, Gudrun Szewieczek
In this paper we consider surfaces with one or two families of spherical curvature lines. We show that every surface with a family of spherical curvature lines can locally be gener…