M1R - Lattices, Crystals & Tilings
Slides
Here are the slides from my lecture.
The other meetings are on 21/05,28/05, 02/06, 04/06, 06/06.
References
Here are some possible references.
- Just the right level.
- George E. Martin - Transformation Geometry (1982, Springer)
- Colin Adams - The Tiling Book (2023, AMS)
- Mark A. Armstrong - Geometry and Symmetry (1988, Springer)
- Somewhat Advanced.
- Andrzej Szczepański - Geometry of Crystallographic Groups (2012, World Scientific)
- A. Vince - Periodicity, Quasiperiodicity and Bieberbach's Theorem on Crystallographic Groups (Available here )
- Francesco D'Andrea - A Guide to Penrose Tilings (2023, Springer)
- David Hilbert, Stefan Cohn-Vossen - Geometry and the Imagination (1952, AMS)
- José M. Montesinos - Classical Tesselations and Three-Manifolds (1985, Springer)
- Comprehensive.
- B. Grünbaum & G. C. Shephard - Tilings and Patterns (1986, Freeman)
Fun Challenge
If people send me an e-mail with a picture of a frieze or wallpaper pattern that they saw in London, I will bring it in class so that we can identify which group it is.
(At most one picture per person!)