Huang Kaiduan, Wei Weifeng, Gao Zhennan
School of Mechanical Engineering, Shaanxi University of Technology, Hanzhong, China.
Sci Rep. 2025 Jul 4;15(1):23920. doi: 10.1038/s41598-025-03714-0.
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.
为了生成反手结并分析其特性，建立了一个共螺旋模型，并提出了一种通过扭转和连接两个不同绳段的方法。结果表明，共螺旋具有缠绕传递的特征，而共螺旋的总角度保持恒定为360°。共螺旋为反手结提供了单向互锁功能。对共螺旋端点连接类型的分析和比较表明，共螺旋是反手结、霍普夫链环和三叶结之间的一个共同基因。对反手结特性的研究表明，反手结的上下和内外关系具有AB节律特征。所提出的方法为反手结打结设备的开发提供了基础。
