论文标题

平方的周期性耕作

Periodic tillings of the plane by squares

论文作者

Dmitriev, Mikhail

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.

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