Generation and characteristics analysis of the overhand knot using co-screw as gene
Abstract Aiming to generate the overhand knot and analyze its characteristics, a model of co-screw is established and a method is proposed by twisting and connecting two distinct rope segments. The results demonstrate that the co-screw has the feature of winding transfer, while the total angle of co...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-03714-0 |
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| Summary: | Abstract Aiming to generate the overhand knot and analyze its characteristics, a model of co-screw is established and a method is proposed by twisting and connecting two distinct rope segments. The results demonstrate that the co-screw has the feature of winding transfer, while the total angle of co-screw remains constant at 360°. The co-screw provides the overhand knot with one-direction interlocking function. The analysis and comparison of the connection types of co-screw endpoints demonstrates that, the co-screw is a common gene among the overhand knot, the Hopf link and the trefoil knot. The research on the characteristics of overhand knot shows that the upper–lower and the inner-outer relationships of the overhand knot have AB rhythms feature. The proposed approach provides a foundation for the development of overhand knot tying equipment. |
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| ISSN: | 2045-2322 |