Why Penrose Tiles Never Repeat

The first 200 people to get 20% off an annual premium subscription to Brilliant. Thanks to Brilliant for their support. This video is about a better way to understand Penrose tilings (the famous tilings invented by Roger Penrose that never repeat themselves but still have some kind of order/pattern). This project was a collaboration with Aatish Bhatia (). REFERENCES Explore Penrose and Penrose-like patterns: Video by Derek Muller/Veritasium about Penrose Patterns: Music algorithmically generated, algorithm designed by Henry Reich N.G. de Bruijn’s paper introducing the pentagrid/Penrose idea: De Bruijn, N.G., 1981. Algebraic theory of Penrose’s non-periodic tilings of the plane. Kon. Nederl. Akad. Wetensch. Proc. Ser. A, 43(84), . Here are some excellent in-d