Growth Forms of Tilings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916921432080384 |
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| author | Hilgers, Peter Shutov, Anton |
| author_facet | Hilgers, Peter Shutov, Anton |
| contents | The growth form (or corona limit) of a tiling is the limit form of its coordination shells, i.e. its set of tiles located at a fixed distance from some tile. We give an overview of current results, conjectures and open questions about growth forms, including periodic, multigrid, substitution, and hat tilings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19928 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Growth Forms of Tilings Hilgers, Peter Shutov, Anton Combinatorics Discrete Mathematics 52C20 52C23 The growth form (or corona limit) of a tiling is the limit form of its coordination shells, i.e. its set of tiles located at a fixed distance from some tile. We give an overview of current results, conjectures and open questions about growth forms, including periodic, multigrid, substitution, and hat tilings. |
| title | Growth Forms of Tilings |
| topic | Combinatorics Discrete Mathematics 52C20 52C23 |
| url | https://arxiv.org/abs/2508.19928 |