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Tilings and Patterns

Fall term 2023

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)

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