平面的周期性方格排列
Periodic tillings of the plane by squares
摘要：
本文给出了Kenyon关于给定周期的正方形对平面进行周期镶嵌的必要条件的初等证明。证明了一个类似的关于矩形两边由非重叠正方形覆盖的新结果。
英文摘要：
The paper provides an elementary proof of Kenyon's necessary condition for the existence of a periodic tiling of the plane by squares with given periods. A similar new result on covering both sides of a rectangle by nonoverlaping squares is proved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
