Chapter 3

Unit 3.1

Slides Unit 3.1

Transcript of Unit 3.1

Further material/links:

Website of Karl Grammer

An Expert’s Guide to Celebrity Faces
The way we process faces means that symmetry is only part of the story.

Yann Pineill: SYMMETRY – A Palyndromic Film
This film is a more artistic approach to mirror symmetry. The second half is strictly like the first, but played backwards and mirrored.


Unit 3.2

Slides Unit 3.2

Transcript of Unit 3.2

Unit 3.3

Slides Unit 3.3

Transcript of Unit 3.3

Unit 3.4

Slides Unit 3.4

Transcript of Unit 3.4

Solution of the Exercise of Unit 3.4

Unit 3.5

Slides Unit 3.5

Transcript of Unit 3.5

Unit 3.6

Slides Unit 3.6

Transcript of Unit 3.6

Crystal_Classes_Poster (PDF)

Further material/links:

Interactive PDF files
with embedded 3D designs for all of the 32 crystallographic point groups

Quiztallography, a game for Android phones.
It can be downloaded free of charge from the Android market (Google Play):
The game is currently available in English, Catalan and Spanish.

Unit 3.7

Slides Unit 3.7

Transcript of Unit 3.7

Further material/links:

M.C. Escher
Welcome to, the official website published by the M.C. Escher Foundation and The M.C. Escher Company

Unit 3.8

Slides Unit 3.8

Transcript of Unit 3.8

Further material/links:

Brian Sanderson’s Pattern Recognition Algorithm

Kali – Symmetric Sketching

Escher Web Sketch

Symmetry Artist


Weave Silk