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Tilings and Patterns

Fall term 2021

Tilings and Patterns

Course syllabus

  • The second midterm exam will be on Tuesday December 14 at 12:00-15:00 in room M2. Material to read: Chapters 5-7 in the notes (page 61 onwards).

Some slides (pdf, 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
  • Flow chart to determine wall paper groups
  • Robinson’s aperiodic Wang tile set
  • An aperiodic Wang tile set of 14 tiles
  • Slides from the lectures (for midterm 1)
  • On the tiling problem
  • Slides from the lectures (for midterm 2)

Lecture Notes (pdf):

  • Part 1
  • Part 2

Homework Assignments (pdf):

  • Homework 1 (6.9.2021)
  • Homework 2 (13.9.2021)
  • Homework 3 (20.9.2021)
  • Homework 4 (27.9.2021)
  • Homework 5 (4.10.2021)
  • Homework 6 (11.10.2021)
  • Homework 7 (25.10.2021)
  • Homework 8 (1.11.2021)
  • Homework 9 (8.11.2021)
  • homework10 (15.11.2021)
  • homework11 (22.11.2021)
  • homework12 (29.11.2021)
  • homework13 (7.12.2021)

 

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