Paula's Friezes
- Author:
- John Golden
- Topic:
- Symmetry
Paula Beardell Krieg wrote this great post capping off her series on friezes. https://bookzoompa.wordpress.com/2020/05/20/seven-days-of-frieze-group-playalong/
She gives instructions for making a physical set of tiles to play with - which is clearly the best option. But if you can't, here's the GeoGebra! Paula writes: "There are many different symmetry groups. Frieze group symmetry is a great place to start because they follow one simple rule: repeated tiles can only move linearly, which means they can slide, thus moving in a linear direction, or they can have 180 degree transformation. There are only [censored] possible ways to make a linear symmetry. Considering we generally only think of symmetry as a mirror reflection, this may seem more than you expect."
How many friezes can you make?