Fall term 2015

Tilings and Patterns



Seuraava tenttipäivä: 18.1.2016.

Syllabus


Some slides:

Yleistajuinen esitelmä tason symmetrioista (in Finnish)
Plane isometries are compositions of at most three reflections
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
Bibliography of the lecture notes
An aperiodic set of 11 Wang tiles

Lecture Notes:

Part 1
Part 2
Part 3
Part 4
Part 5


Homework Assignments (pdf):

Homework 1 (14.9.2015). Another solution to Problem 2.
Homework 2 (21.9.2015)
Homework 3 (28.9.2015)
Homework 4 (5.10.2015)
Homework 5 (12.10.2015)
Homework 6 (16.10.2015)
Homework 7 (26.10.2015) My solution to Problem 5.
Homework 8 (2.11.2015)
Homework 9 (9.11.2015)
Homework 10 (16.11.2015)
Homework 11 (23.11.2015)
Homework 12 (30.11.2015)
Homework 13 (10.12.2015)