Geometry and Combinatorics of Rigidity Theory and its Applications

刚度理论的几何与组合学及其应用

• 批准号: RGPIN-2015-04624
• 负责人: Whiteley, Walter
• 金额: $ 1.24万
• 依托单位: York University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=589914
• 关键词: Geometry; Combinatorics; Rigidity; Theory; its

We live in 3D and we design and build in 3D. The constraints on the structure of the successful designs, and the analysis of the failures of designs, involve 3D geometry in its various forms, as well as its simplified form as combinatorics: counting the parts, counting the numbers and patterns of connections among the parts. Mathematicians find novel ways to assemble components, and to analyze the way nature has assembled the parts. Such structures then raise a number of questions that we work on.

我们生活在3D中，我们在3D中设计和建造。 对成功设计的结构的约束，以及对设计失败的分析，涉及各种形式的3D几何，以及其简化形式的组合学：计算部件，计算部件之间的连接的数量和模式。 数学家找到了新的方法来组装组件，并分析自然界组装部件的方式。 这样的结构提出了一些我们正在研究的问题。