Fall term 2025
Tilings and Patterns
The second midterm will be in room M2 on Wednesday December 17 at 9:00-12:00. Material: From page 61 (Chapter 5 onward) in the lecture notes.
Some slides (pdf, best viewed in full screen mode):
- General introduction to some topics of the course (mostly symmetries)
- Plane isometries are compositions of at most three reflections
- Frieze group examples
- Deriving the 17 wallpaper groups
- Flowchart to determine wallpaper groups
- Robinson’s aperiodic Wang tile set
- An aperiodic Wang tile set of 14 tiles
- On the undecidability of tiling problems
Lecture Notes (pdf):
Lecture Slides (pdf):
- Lecture Tuesday 9.9.2025
- Lecture Thursday 11.9.2025
- Lecture Tuesday 16.9.2025
- Lecture Wednesday 17.9.2025
- Lecture Thursday 18.9.2025
- Lecture Tuesday 23.9.2025
- Lecture Tuesday 30.9.2025
- Lecture Thursday 2.10.2025
- Lecture Tuesday 7.10.2025
- Lecture Tuesday 14.10.2025
- Lecture Wednesday 29.10.2025
- Lecture Thursday 30.10.2025
- Lecture Tuesday 4.11.2025
- Lecture Wednesday 5.11.2025
- Lecture Thursday 6.11.2025
- Lecture Tuesday 11.11.2025
- Lecture Tuesday 18.11.2025
- Lecture Wednesday 19.11.2025
- Lecture Thursday 20.11.2025
- Lecture Tuesday 25.11.2025
- Lecture Thursday 27.11.2025
- Lecture Tuesday 2.12.2025
- Lecture Thursday 4.12.2025
Homework Assignments (pdf):
- Homework 1 (15.9.2025)
- Homework 2 (22.9.2025)
- Homework 3 (29.9.2025)
- Homework 4 (6.10.2025)
- Homework 5 (13.10.2025)
- Homework 6 (16.10.2025)
- Homework 7 (3.11.2025)
- Homework 8 (10.11.2025)
- Homework 9 (17.11.2025)
- Homework 10 (24.11.2025)
- Homework 11 (1.12.2025)
- Homework 12 (8.12.2025)
- Homework 13 (11.12.2025)