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togtogtog t1_jee33oa wrote

Reply to comment by 13artzklauser in ELI5 The New Shape - The Hat by 13artzklauser

Imagine the tiling is on a wall outside, and goes on for miles.

Now imagine you wanted to take a photo of the tiling.

With squares, or triangles, you could take two different photos of the wall in two different places, but the photos would be identical. You wouldn't be able to tell them apart.

With 'the hat' the two different photos would be different.

In reality, eventually, 'the hat' tiling does repeat, but not anywhere near enough for it to be noticeable.

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Chromotron t1_jeecof1 wrote

> In reality, eventually, 'the hat' tiling does repeat, but not anywhere near enough for it to be noticeable.

To clarrifiy (for OP): that's only because your photo only shows so much of the thing, and there are is only a finite (but very huge) number of possibilities your photo could show. If your photo zooms out more when needed, every part of the wall would be truly unique.

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13artzklauser OP t1_jefb0ld wrote

Wow you explained it so well!! I got it now. Thank you so much!

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