3 papers
math.CO2026
Aperiodic tile sets from Sturmian lattices
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…
math.CO2025
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…
math.NT2023
A concise geometric proof of the three distance theorem
Tadahisa Hamada
The three distance theorem states that for any given irrational number and a natural number , when the interval is divided into subintervals by integer mult…