An aperiodic monotile

It is finally done – the long standing question whether there exists a single tile that can cover the entire plane, but only aperiodically, is answered! Here is the answer (arXiv:2303.10798):

(Image taken from this other blog: link)

Many other people have already written blog posts, etc. about this, hence I will refrain from repeating everything and just refer to those other articles (and they themselves have links to even more articles about this): link, link.

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