Diskrete Flächentheorie

What it is about

You will become familiar with discrete models of surfaces in R^3 and R^4 as well as in projective and Möbius geometry. The module introduces discrete (integrable and non-integrable) surface theory, discrete curvature concepts and transformation theories, so that you can practically work with discrete differential geometry methods afterwards.

What you will be able to do

• Apply discrete models in R^3 and R^4 as well as in projective and Möbius geometry
• Use quaternionic description and light cone model
• Understand curvature theory for quadrilateral nets
• Treat discrete surfaces of constant Gaussian and mean curvature and their transformations
• Apply concepts of 3D consistency / integrability and geodesic nets for developable surfaces

What the module consists of

• VorlesungConveying the content through lecture, illustrative examples and discussion; motivation for independent engagement
• ÜbungProblem sheets with solutions for self-check and deepening; initially guided, later increasingly independent and in small groups

Teaching method

• Vortrag/Tafelarbeitfor presenting theory, examples and discussion with students
• Übungsaufgaben mit Musterlösungenfor self-check, deepening and practical application of what has been learned