2 papers
cs.DM2024
Square-Triangle Tilings: Lift & Flip to Sample?
Thomas Fernique, Olga Mikhailovna Sizova
We introduce an elementary transformation called flips on tilings by squares and triangles and conjecture that it connects any two tilings of the same region of the Euclidean plane…
math.CO2023
Shield tilings
Thomas Fernique, Olga Mikhailovna Sizova
We provide a complete description of the edge-to-edge tilings with a regular triangle and a shield-shaped hexagon with no right angle. The case of a hexagon with a right angle is a…