论文标题
邻居
Neighbors
论文作者
论文摘要
如果包装的两个成员有一个共同的边界点，则是邻居。与包装中的邻居有关，出现了许多问题。最古老的人涉及牛顿和格雷戈里之间关于成员在一整套球体中可以拥有的最大邻居数量的争议。其他问题要求包装中的平均邻居数量或最大相邻成员的数量。目前的工作对这些问题进行了调查。
Two members of a packing are neighbors if they have a common boundary point. A multitude of problems arises in connection with neighbors in a packing. The oldest one concerns a dispute between Newton and Gregory about the maximum number of neighbors a member can have in a packing of congruent balls. Other problems ask for the average number of neighbors or the maximum number of mutually neighboring members in a packing. The present work gives a survey of these problems.
