Tileset As: 3 squares with local rules for non-periodic tiling
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912276532953088 |
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| author | Van Dongen, Vincent |
| author_facet | Van Dongen, Vincent |
| contents | This paper presents a tileset of 3 squares with local constraints on their borders and corners that enforce non-periodic tiling. We start with a description of the tileset and we demonstrate that it can tile the entire plane non-periodically creating interesting patterns. Rules are also proposed to generate the tiling. They make use of 9 supertiles with border color constraints only. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tileset As: 3 squares with local rules for non-periodic tiling Van Dongen, Vincent General Mathematics This paper presents a tileset of 3 squares with local constraints on their borders and corners that enforce non-periodic tiling. We start with a description of the tileset and we demonstrate that it can tile the entire plane non-periodically creating interesting patterns. Rules are also proposed to generate the tiling. They make use of 9 supertiles with border color constraints only. |
| title | Tileset As: 3 squares with local rules for non-periodic tiling |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2503.11682 |