Fall term 2017

Tilings and Patterns



Schedule changes:


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)