Tilings and Patterns

Course syllabus

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
• Flow chart to determine wall paper groups
• Robinson’s aperiodic Wang tile set
• An aperiodic Wang tile set of 14 tiles
• On the undecidability of tiling problems

Lecture Notes (pdf):

• Table of contents (parts 1&2)
• Part 1
• Part 2
• Part 3(a)
• Part 3(b)

Lecture Slides (pdf):

• Lecture 30.8.
• Lecture 31.8.
• Lecture 5.9.
• Lecture 6.9.
• Lecture 7.9.
• Lecture 14.9.
• Lecture 19.9.
• Lecture 20.9.
  
• Lecture 27.9.
• Lecture 28.9.
• Lecture 3.10.
• Lecture 4.10.
• Lecture 24.10.
• Lecture 26.10.
• Lecture 31.10.
• Lecture 1.11.
• Lecture 2.11.
• Lecture 14.11.
• Lecture 28.11.
• Lecture 29.11.
• Last lectures

Homework Assignments (pdf):

• Homework 1 (4.9.2023)
• Homework 2 (11.9.2023) 
• Homework 3 (18.9.2023)
• Homework 4 (25.9.2023)
• Homework 5 (2.10.2023)
• Homework 6 (5.10.2023)
• Homework 7 (9.10.2023)
• Homework 8 (23.10.2023)
• Homework 9 (30.10.2023)
• Homework 10 (6.11.2023)
• Homework 11 (13.11.2023)
• Homework 12 (27.11.2023)
• Homework 13 (4.12.2023)