Fall term 2017
Tilings and Patterns
Schedule changes:
- Monday homework and Thursday lecture are exchanged: Lectures on Monday Dec 11 (at 14:15) and Tuesday Dec 12 (at 10:15), homework on Thursday Dec 14 (at 12:15).
Second midterm exam on Monday Dec 18 at 9:00-12:00. Material to read: Chapters 4-7, that is, pages 48-110.
Exam dates in the Spring term: Monday January 8, Monday February 5, Monday March 12.
Syllabus
Some slides:
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
Robinson's aperiodic Wang tile set
Aperiodic Wang tile set with 14 tiles
Turing machines and undecidability in tilings
Other material:
Page on wallpaper groups that will be provided in the exams
Disks cannot tile the plane
Bibliography of the lecture notes
Lecture Notes:
Part 1
Part 2
Part 3
Part 4
Part 5
Homework Assignments (pdf):
Homework 1 (11.9.2017).
Another solution to Problem 2.
Homework 2 (25.9.2017)
Homework 3 (2.10.2017)
Homework 4 (9.10.2017)
Homework 5 (16.10.2017)
Homework 6 (19.10.2017, NOTE: Thursday!)
Homework 7 (30.10.2017)
My solution to Problem 5.
Homework 8 (6.11.2017)
Homework 9 (13.11.2017)
Homework 10 (20.11.2017)
Homework 11 (27.11.2017)
Homework 12 (4.12.2017)
Homework 13 (14.12.2017)