4 citations · 5 across the 5 of their papers we have counts for
6 papers
The Ribaucour families of discrete R-congruences
Thilo Rörig, Gudrun Szewieczek
While a generic smooth Ribaucour sphere congruence admits exactly two envelopes, a discrete R-congruence gives rise to a 2-parameter family of discrete enveloping surfaces. The mai…
Multi-Nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles
Alexander I. Bobenko, Helmut Pottmann, Thilo Rörig
We investigate the common underlying discrete structures for various smooth and discrete nets. The main idea is to impose the characteristic properties of the nets not only on elem…
Polyhedral Surfaces in Wedge Products
Thilo Rörig, Günter M. Ziegler
We introduce the wedge product of two polytopes. The wedge product is described in terms of inequality systems, in terms of vertex coordinates as well as purely combinatorially, fr…
Drawing polytopal graphs with polymake
Ewgenij Gawrilow, Michael Joswig, Thilo Rörig +1
This note wants to explain how to obtain meaningful pictures of (possibly high-dimensional) convex polytopes, triangulated manifolds, and other objects from the realm of geometric…
Zonotopes With Large 2D Cuts
Thilo Rörig, Nikolaus Witte, Günter M. Ziegler
There are d-dimensional zonotopes with n zones for which a 2-dimensional central section has Ω(n^{d-1}) vertices. For d=3 this was known, with examples provided by the "Ukrainian e…
Neighborly Cubical Polytopes and Spheres
Michael Joswig, Thilo Schr"oder
We prove that the neighborly cubical polytopes studied by G"unter M. Ziegler and the first author arise as a special case of neighborly cubical spheres constructed by Babson, Bille…