The central goal of the SFB/Transregio 109 is to pursue research on the discretization of differential geometry and dynamics. The common idea of our research in geometry and dynamics is to find and investigate discrete models that exhibit properties and structures characteristic of the corresponding smooth geometric objects and dynamical processes.
The SFB/Transregio 109 brings together scientists from the fields of geometry, dynamics and applications, to join forces in tackling the numerous problems raised by the challenge of discretizing their respective disciplines.
This calendar aims to present recent research in a visually appealing manner. In doing so we hope to foster further interdisciplinary collaborations. But first and foremost we wish to give experts and interested amateurs alike a possibility to enjoy with us the beauty of geometry.
Alexander I. Bobenko, Sebastian Heller, and Nicholas Schmitt.
Constant mean curvature surfaces based on fundamental quadrilaterals.
Math. Physics, Analysis and Geometry, 2021.
URL: https://doi.org/10.1007/s11040-021-09397-z, arXiv:2102.03153.
Davide Pellis, Martin Kilian, Helmut Pottmann, and Mark Pauly.
Computational design of Weingarten surfaces.
ACM Trans. Graph., 40(4):114:1 – 114:11, 2021.
Alexander I. Bobenko, Tim Hoffmann, and Andrew O. Sageman-Furnas.
Compact Bonnet Pairs: isometric tori with the same curvatures.
Caigui Jiang, Florian Rist, Hui Wang, Johannes Wallner, and Helmut Pottmann.
Shape-morphing mechanical metamaterials.
Computer-Aided Design, 2022.
Yusuf Soliman, Albert Chern, Olga Diamanti, Felix Knöppel, Ulrich Pinkall, and Peter Schröder.
Constrained Willmore Surfaces.
ACM Trans. Graph., 40(4):112:1 – 112:17, 2021.
Davide Pellis, Hui Wang, Martin Kilian, Florian Rist, Helmut Rottmann, and Christian Müller.
Principal Symmetric Meshes.
ACM Trans. Graph., 39(4):127:1 – 127:15, 2020.
Benedikt Kolbe and Myfanwy E. Evans.
Isotopic tiling theory of the hyperbolic surfaces.
Geometriae Dedicata, 212:177 – 205, 2020.
URL: https://doi.org/10.1007/s10711-020-00554-2, arXiv:1808.00721.
Stephanie Wang and Albert Chern.
Computing Minimal Surfaces with Differential Forms.
ACM Trans. Graph., 40(4):113:1 – 113:14, 2021.
Mark Gillespie, Boris Springborn, and Keenan Crane.
Discrete conformal equivalence of polyhedral surfaces.
ACM Trans. Graph., 40(4):103:1 – 103:20, 2021.