WebExploiting an analogy with long-range ferromagnetic spin systems, we identified simple topological counting rules to predict the relative mechanical stability of knots and tangles, in agreement with simulations and experiments for commonly used climbing and sailing … WebIn the summer of 2024, I took a class in machine learning and we worked on a short-term project on classifying mathematical knots up to five crossings. While working on my PhD, I was able to learn ...
Topological mechanics of knots and tangles - NASA/ADS
WebJan 1, 2009 · Abstract. This paper draws a line from the basics of rational tangles to the tangle model of DNA recombination. We sketch the classification of rational tangles, unoriented and oriented rational knots and the application … WebTopological mechanics of knots and tangles SCIENCE Patil, V. P., Sandt, J. D., Kolle, M., Dunkel, J. 2024; 367 (6473): 71-+ Abstract. Knots play a fundamental role in the dynamics of biological and physical systems, from DNA to turbulent plasmas, as well as in climbing, … google scholar muni
Knots, Links, Braids, and 3-manifolds PDF Download
WebSession M25: Fabric, Knits and Knots I Focus Show Abstracts: Sponsoring Units: GSNP DSOFT Chair: Michael Dimitriyev, Georgia Inst of Tech Room: 402 ... M25.00010: Topological Mechanics of Knots and Tangles Vishal Patil, Joseph Sandt, Mathias Kolle, Jorn Dunkel M25.00011: tbd Invited Speaker: Genevieve Dion : Follow Us . Engage. WebPatil, V. P., Sandt, J. D., Kolle, M., & Dunkel, J. (2024). Topological mechanics of knots and tangles. Science, 367(6473), 71–75. doi:10.1126/science.aaz0135 WebJan 2, 2024 · Experiments with colorful fibers helped scientists discover a few simple rules behind knots’ varying strengths. ... Topological mechanics of knots and tangles. Science. Vol. 367, January 3, 2024 ... chicken cutlet and rice recipe