## Fall term 2017

**Tilings and Patterns**

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**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: **

**
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** ****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**
**
**

**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)