Mathematical Sciences: Packing and Covering with Congruent Convex Bodies

数学科学：全等凸体的堆积和覆盖

• 批准号: 9403615
• 负责人: Wlodzimierz Kuperberg
• 金额: $ 3.65万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-15 至 1996-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9403615&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Packing; Covering; Congruent

DMS-9403615 Kuperberg, W. The proposed research is in the area of Discrete Geometry and involves the packing and covering of space with congruent replicas of a convex body. The PI will extend his work in two dimensions to dimension 3 and higher. Some of the PI's earlier work has been applied in Computational Geometry for creating geometric algorithms and estimating their computational complexity; the proposed work should be equally applicable. ??

DMS-9403615 Kuperberg, W。拟议的研究属于离散几何领域，涉及用凸体的全等复制品填充和覆盖空间。 PI 将把他的工作从二维扩展到 3 维及更高维度。 PI 的一些早期工作已应用于计算几何，用于创建几何算法并估计其计算复杂性；拟议的工作应同样适用。 ??