紧多边形结的绳长
Ropelength of tight polygonal knots
摘要：
给出了用SONO算法模拟绳索的物理解释。分析了该算法生成的紧多边形节点的性质。本文给出了一个光滑内接结的绳长边界算法。比较了两种计算多边形紧结绳长的方法。模型结的分析计算表明，适当的加权平均值应该提供一个很好的估计相对较少的边缘数的最小ropelength。
英文摘要：
A physical interpretation of the rope simulated by the SONO algorithm is presented. Properties of the tight polygonal knots delivered by the algorithm are analyzed. An algorithm for bounding the ropelength of a smooth inscribed knot is shown. Two ways of calculating the ropelength of tight polygonal knots are compared. An analytical calculation performed for a model knot shows that an appropriately weighted average should provide a good estimation of the minimum ropelength for relatively small numbers of edges.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
