From the 1 of 2 linked papers with an AI index.
2 papers
math.CO2026
Aperiodic tile sets from Sturmian lattices
Shigeki Akiyama, Tadahisa Hamada, Katsuki Ito
The paper presents an explicit algorithm that builds aperiodic tile sets using Sturmian words with quadratic irrational slopes, linking the construction to Sturmian lattices and bo…
math.CO2026
Sturmian lattices and Aperiodic tile sets
Shigeki Akiyama, Tadahisa Hamada, Katsuki Ito
We give an explicit algorithm to construct aperiodic tile sets based on Sturmian words of quadratic slopes. The method works for any quadratic irrational slope, and we can produce…