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cs.DM2024
Ammann Bars for Octagonal Tilings
Thomas Fernique, Carole Porrier
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight lines with them while tiling forces non-periodicity. Only a few cases are known…
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…