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.
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.
Alexander I. Bobenko, Tim Hoffman, and Thilo Rörig.
Orthogonal ring patterns.
Alexander I. Bobenko, Ulrich Pinkall, and Boris Springborn.
Discrete conformal maps and ideal hyperbolic polyhedra.
Geom. Topol., 19(4):2155 – 2215, 2015.
Andrew O. Sageman-Furnas, Albert Chern, Mireia Ben-Chen, and Amir Vaxman.
Chebyshev nets from commuting PolyVector fields.
ACM Trans. Graph., 38(6):172:1 – 172:16, 2019.
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.
Caigui Jiang, Klara Mundilova, Florian Rist, Johannes Wallner, and Helmut Pottmann.
ACM Trans. Graph., 38(6):169:1 – 169:13, 2019.
Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder.
On bubble rings and ink chandeliers.
ACM Trans. Graph., 38(4):129:1 – 129:14, 2019.
Anna M. Hartkopf.
Citizen Art – Collective Mathematical Art to Raise the Public Awareness of Mathematics.
Proc. of Bridges 2018: Math., Art, Music, Arch., Edu., Cult., pages 579 – 584, 2019.
Albert Chern, Felix Knöppel, Franz Pedit, and Ulrich Pinkall.
Commuting Hamiltonian flows of curves in real space forms.
Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann, and Jan Techter.
Non-Euclidean Laguerre geometry and in circular nets. SpringerBriefs.
URL: https://link.springer.com/book/10.1007/978-3-030-81847-0, arXiv:2009.00978.
Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, and Peter Schröder.
Finding Conformal and Isometric Immersions of Surfaces.
Alexander I. Bobenko and Alexander Y. Fairley.
Nets of lines with the combinatorics of the square grid and with touching inscribed conics.
Discrete and Comp. Geometry, 2021.
URL: https://link.springer.com/article/10.1007/s00454-021-00277-5, arXiv:1911.08477.