This project studies discrete geometric structures that arise in the context of applications. We will mainly focus on the investigation of nets in Lie sphere geometry and their relation to integrable structures.
C01
Discrete Geometric Structures Motivated by Applications and Architecture
Geometry Supporting the Realization of Freeform Architecture
Contemporary architecture of large-scale buildings makes it necessary to subdivide large surfaces into smaller segments, the panels. While the building industry, architects and engineers are mainly interested in design aspects, manufacturing and statics, we will systematically investigate the related purely mathematical problems together with computational aspects. In particular we will investigate diagonal parametrizations, ring pattern structures, and discrete structures in sphere geometries.
- Group: C. Computation
- Principal Investigators: Prof. Dr. Alexander I. Bobenko, Prof. Dr. Helmut Pottmann, Prof. Dr. Christian Müller
- Investigators: Felix Dellinger, Alexander Fairley, Dr. Felix Günther, Dr. Martin Kilian, Nina Smeenk
- Universities: TU Berlin, King Abdullah University of Science and Technology, TU Graz, TU Wien
- Term: since 2012