Mathematical Sciences: Packing and Covering with Congruent Convex Bodies

提出的研究是在离散几何领域，涉及空间的填充和覆盖与凸体的一致副本。PI将把他的工作从二维扩展到三维甚至更高的维度。PI的一些早期工作已应用于计算几何，用于创建几何算法和估计其计算复杂性；建议的工作应同样适用。?？

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. ??