论文标题
平方的周期性耕作
Periodic tillings of the plane by squares
论文作者
论文摘要
该论文提供了基本证据,证明了肯尼恩的必要条件,即通过给定时期的正方形存在平面的周期性瓷砖。证明了通过非布置正方形覆盖矩形的两侧的类似新结果。
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.