Tilings and Patterns

Course syllabus

Note: The lecture rooms change in the second period: M1 for lectures (Tu,Thu), M3 for homeworks (Mo)

First midterm: Thursday Oct 21 at 9:00-12:00 in Room X

• No need to register in advance
• Material to read: Chapters 1-4 from the notes (pages 1-61)
• Closed notes, but I’ll provide a cheat sheet with the list of possible vertex types and examples of all wallpaper groups.

Some slides (pdf, best viewed in full screen mode):

• Yleistajuinen esitelmä tason symmetrioista (in Finnish)
• Plane isometries are compositions of at most three reflections
• Frieze group samples
• How to derive 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
• Slides from the lectures (for midterm 1)

Lecture Notes (pdf):

• Part 1
• Part 2

Homework Assignments (pdf):

• Homework 1 (6.9.2021)
• Homework 2 (13.9.2021)
• Homework 3 (20.9.2021)
• Homework 4 (27.9.2021)
• Homework 5 (4.10.2021)
• Homework 6 (11.10.2021)
• Homework 7 (25.10.2021)