## 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.**

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**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)