Quasiperiodic tiling

Imagine you have a big square and you want to cover it completely with little squares. However, you don't want the little squares to repeat in a pattern (like on a checkerboard), but you want them to look kind of random.

That's what a quasiperiodic tiling is. It's like a puzzle where you fit together shapes to completely cover an area without repeating the same pattern over and over again.

It's called quasiperiodic because even though it looks random, there is still some order to it. The shapes fit together in a specific way that keeps the pattern from repeating in a simple, predictable way.

It's a bit like creating a beautiful mosaic using different colors and shapes, but instead of using a pattern, you let the colors and shapes come together in a seemingly random way.

Overall, a quasiperiodic tiling is a way to make a beautiful design while also challenging your brain to think creatively and outside of the box.