Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, II
DOI:
https://doi.org/10.51094/jxiv.1282Keywords:
pentagon, rhombus, tiling, non-periodic, aperiodicAbstract
In the previous study [6], we demonstrated that non-periodic tilings generated using Tile(1, 1) can be converted into non-periodic tilings with three types of pentagons. However, these results excluded the case where the conversion is performed after subdividing the original rhombus into smaller similar rhombuses. In this manuscript, we examine the case in which the conversion is performed after subdividing the original rhombus into smaller similar rhombuses. We describe the similarities and differences between the pentagonal tilings obtained by conversion with and without subdivision of the original rhombus into smaller similar rhombuses.
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References
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Sugimoto, T., (2023). Converting non-periodic tiling with Tile(1,1) to tilings with three types of pentagons, I, arXiv:2307.08184 (accessed on 16 May 2025).
Sugimoto, T., Supplement of the paper "Converting non-periodic tiling with Tile(1, 1) into tilings with three types of pentagons," https://tilingpackingcovering.web.fc2.com/Ts_with_3-types_pentagons-e.html (accessed on 16 May 2025).
Sugimoto, T., Supplement of the paper "Converting non-periodic tiling with Tile(1, 1) into tilings with three types of pentagons," https://tilingpackingcovering.web.fc2.com/Th_with_3-types_pentagons-e.html (accessed on 16 May 2025).
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Submitted: 2025-06-03 00:16:40 UTC
Published: 2025-06-05 10:14:03 UTC
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Teruhisa Sugimoto
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