构造$\ell^\infty$平面的均衡框架
Constructing isostatic frameworks for the $\ell^\infty$ plane
摘要：
我们使用一种新的有色多图构造方法来证明，每个2-树分解都可以在平面上实现，作为相对于$\ell^1$或$\ell^\infty$距离约束具有最小刚性（均衡）的杆接头框架。我们将展示如何适应这种技术，将对称性，并指出几个相关的开放性问题的刚性，冗余刚性和强制对称刚性赋范空间。
英文摘要：
We use a new coloured multi-graph constructive method to prove that every 2-tree decomposition can be realised in the plane as a bar-joint framework which is minimally rigid (isostatic) with respect to $\ell^1$ or $\ell^\infty$ distance constraints. We show how to adapt this technique to incorporate symmetry and indicate several related open problems on rigidity, redundant rigidity and forced symmetric rigidity in normed spaces.
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。
