Steinhaus棋盘问题的简单证明及其等价命题

The simple proof of the Steinhaus chessboard problem and it's equivalent proposition

Steinhaus棋盘问题是波兰著名数学家Steinhaus在其著作Problem and Discussion中提出的一个比较有趣的问题,文献[2-3]分别用不同的方法给以证明,但是证明过程较为复杂.通过比较直观的方式给出了该问题的简单证明,并给出了该问题在图论中的等价命题.

Steinhaus chessboard problem was put forward by Poland famous mathematician Steinhaus in his book ＂Problem and Discussion＂. It has been proved in literature [2-3], but the process is a little complicated. Given a simple proof of the question by an intuitionistic way. Its equivalent proposition was given.