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PreprintarXiv licencearXiv

Directional Expansiveness for the chair tiling

Abstract

We study directional expansiveness of the chair tiling. We show that for every direction V and every r>0, there exist distinct chair tilings that agree on ℤ2∩ Vr. Hence the chair tiling has no expansive direction.

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BibTeX
@misc{jang2026directional,
  title = {{Directional Expansiveness for the chair tiling}},
  author = {Hyeeun Jang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26804},
  eprint = {2610.26804},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26804},
}
RIS
TY  - UNPB
TI  - Directional Expansiveness for the chair tiling
AU  - Hyeeun Jang
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26804
UR  - https://arxiv.org/abs/2610.26804
AB  - We study directional expansiveness of the chair tiling. We show that for every direction V and every r>0, there exist distinct chair tilings that agree on ℤ^2∩ V^r. Hence the chair tiling has no expansive direction.
ER  -