Does it mean simply lack of pattern? But that doesn't seem to be the case, at least visually.

Just last month I wrote a post about how Mendeleev's real genius was in how we went looking for periodicity [0] and how that helped predict elements.

Does aperiodicity have any cool properties that help in specific domains?

[0] https://www.nair.sh/guides-and-opinions/communicating-your-e...

Also: when did everyone stop calling this quasiperiodic and start calling it aperiodic? I feel like the almost-but-not-quite translational symmetry was a useful distinction. Has it fallen out of favor?

If I didn’t know that the author used AI, then I would have liked this way more. But that is because I would assume the author did this on his own and that would feel like a cool quirky thing to do. I just don’t care for a cool quirky thing if an AI made it.

https://momath.org/the-hat/

But the simplicity of the shapes in the Penrose tiling has its own charm. And the way it rearranges itself when scrolling around the tiling is awesome!