Sfb 288 Differential Geometry and Quantum Physics |
Experimental mathematics and visualization projects
Surfaces Compact CMC surfaces Examples with low genus Discrete CMC surfaces A numerical algorithm Discrete surfaces (1) Discrete CMC surfaces by the DPW-method Discrete surfaces (2) Darboux transformations of discrete isothermic surfaces Painleve Functions in Differential Geometry Some Applications in Classical Surface Theory Affine Spheres The DPW-method applied to Affine Spheres Curves Discrete curves (1) Bäcklund transformations for discrete curves Discrete curves (2) Doubly discrete smoke ring flow Discrete curves (3) Discrete elastic curves and spinning tops Geodesics and waves on piecewise linear surfaces Software development Branched texture maps on arbitrary surfaces Mathematical information system Efficient sharing, search, retrieval, registration and re-purposing of DMDs Hierarchical triangulations Multi-parameter families of geometries Oorange Visualization system for experimental mathematics