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Tilings and Patterns

Fall term 2025

Tilings and Patterns

Program of the week 3.11.-7.11. (all classes in room M1):

  • Homework on Monday Nov 3 at 14:15-16:00
  • Lecture on Tuesday Nov 4 at 12:15-14:00
  • Lecture on Wednesday Nov 5 at 12:15-14:00
  • Lecture on Thursday Nov 6 at 10:15-12:00

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
  • 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):

  • Part 1
  • Part 1 + Part 2

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

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)

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