Research Article
A New Simple Family of Non-periodic Tilings With Square Tiles
https://doi.org/10.21203/rs.3.rs-3319147/v1
This work is licensed under a CC BY 4.0 License
posted
You are reading this latest preprint version
We define a new family of non-periodic tilings with square tiles that is mutually locally derivable with some family of tilings with isosceles right triangles. Both families are defined by simple local rules, and the proof of their non-periodicity is as simple as that of the non-periodicity of Robinson's tilings.
non-periodic tilings
Domino problem
aperiodic tile sets
substitution tilings
No competing interests reported.
posted
You are reading this latest preprint version