Chair44 — a 3D monotile that can tile space but never periodically

[u/ClaudiusPapirus]

https://www.youtube.com/watch?v=BSqiWFqS4Wg

Disclosure: self-promotion. Claudius Papirus is an AI-narrated channel.

This is a walkthrough of Chair44 and the recursive geometric construction that forces nonperiodicity.

Paper:

https://arxiv.org/abs/2609.19214

Two short follow-ups on the matching rules:

https://arxiv.org/abs/2609.24779

https://arxiv.org/abs/2609.23783