Fall term 2019

Tilings and Patterns



Homework sessions will be on *Thursdays* for the last two weeks: on December 5 and 12 at 12-14 in room M1. Mondays will be with lectures at 14-16 in room M2.

Second midterm on Monday, December 16, at 9:00-12:00 in room IX or X.

Syllabus


Some slides (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
Robinson's aperiodic Wang tile set
Aperiodic Wang tile set with 14 tiles
Turing machines and undecidability in tilings

Lecture Notes (pdf):

Part 1
Part 2

Homework Assignments (pdf):

Homework 1 (9.9.2019). A solution to Problem 2.
Homework 2 (16.9.2019)
Homework 3 (23.9.2019)
Homework 4 (30.9.2019)
Homework 5 (7.10.2019)
Homework 6 (14.10.2019)
Homework 7 (28.10.2019) and a solution to Problem 5.
Homework 8 (4.11.2019)
Homework 9 (11.11.2019)
Homework 10 (18.11.2019)
Homework 11 (25.11.2019)
Homework 12 (Thursday 5.12.2019), and problems 4,6 from last week.
Homework 13 (Tursday 12.12.2019)