Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, I
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866912376276647936 |
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| author | Sugimoto, Teruhisa |
| author_facet | Sugimoto, Teruhisa |
| contents | Non-periodic tilings with Tile(1, 1) using the substitution method, as presented by Smith et al. in [2] and [3], can be converted into non-periodic tilings with three types of pentagons. When arbitrary replacements are excluded, the resulting non-periodic tilings with three types of pentagons exhibit two patterns. Note that, during the conversion process in this manuscript, the rhombus is not subdivided into smaller similar rhombuses. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_08184 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, I Sugimoto, Teruhisa Metric Geometry 05B45, 52C20 F.2.2 Non-periodic tilings with Tile(1, 1) using the substitution method, as presented by Smith et al. in [2] and [3], can be converted into non-periodic tilings with three types of pentagons. When arbitrary replacements are excluded, the resulting non-periodic tilings with three types of pentagons exhibit two patterns. Note that, during the conversion process in this manuscript, the rhombus is not subdivided into smaller similar rhombuses. |
| title | Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, I |
| topic | Metric Geometry 05B45, 52C20 F.2.2 |
| url | https://arxiv.org/abs/2307.08184 |