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An aperiodic monotile

 1 year ago
source link: https://blog.spp2026.de/an-aperiodic-monotile/
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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):

aperiodic_tile.webp
(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.

e59a65c41f85ada627ff419a618489b5?s=49&d=mm&r=gAuthor Alexander EngelPosted on 31.03.2023

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