关于正方体和长方体填充覆盖问题的注记

A Note on Some Packing and Covering Problems of Cubes and Cuboids

关于正方形填充和覆盖的结论有很多,在此基础上讨论了一些关于正方体列填充正方体的问题,以及一些长方体的填充和覆盖问题.首先给出填充函数的定义,在正方形列填充正方形的基础上研究正方体列填充正方体的问题,并得出相应的结论.类似地,可以在长方形的填充基础上研究长方体的填充问题.最后,给出了一些关于覆盖的结果及证明.

Based on a lot of conclusions about square packing and covering,some cube packing problems are discussed,and some problems on cuboid packing and covering are also discussed.Firstly the definition of the packing function is given.Based on the probjems about packing a square with sequence of squares,the problems who are packing a cube with sequence of cubes are researched and the corresponding results are obtained.Similarly,based on the problems about rectangle packing,the packing of cuboid can be studied.In the end,some theorems about covering are given.