I am a native in this world And think in it as a native thinks

Tuesday, July 29, 2025

Penrose tiling




I'm trying not to take any pictures of things in Oxford that I photographed last summer, however picturesque they may seem in the moment. For some reason, this has not reduced the number of pictures I'm taking by much.

But this is definitely new. Yesterday I walked up the Woodstock Road to the Mathematical Institute to see these tiles in the courtyard. These are a Penrose tiling, named after Sir Roger Penrose, professor of mathematics, and also a well-known cosmologist who worked with Stephen Hawking. I have a cold—not a bad one, but it's definitely making me too stupid to attempt much of an explanation of aperiodic tiling, especially since I don't really understand it in the first place.

I do know that the tiles have two shapes, a kite and a dart, but the pattern never repeats, and will never repeat no matter how large an area is covered.

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