Tilings and Patterns

Schedule changes:

• Monday homework and Thursday lecture are exchanged: Lectures on Monday Dec 11 (at 14:15) and Tuesday Dec 12 (at 10:15), homework on Thursday Dec 14 (at 12:15).
  

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

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Other material:

Page on wallpaper groups that will be provided in the exams

Disks cannot tile the plane

Bibliography of the lecture notes

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Lecture Notes:

Part 1

Part 2

Part 3

Part 4

Part 5

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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)