论文标题
国际象棋台球
Chess Billiards
论文作者
论文摘要
我们显示了在[HM]中引入的国际象棋台球地图,以研究国际象棋中$ n $ Queens问题的概括。我们对圆同构的一些已知结果进行了调查,并将其应用于此地图。我们证明了许多新的结果,这些结果可以回答[HM]中提出的一些开放问题。
We show the chess billiard map, which was introduced in [HM] in order to study a generalization of the $n$-Queens problem in chess, is a circle homeomorphism. We give a survey of some of the known results on circle homeomorphisms, and apply them to this map. We prove a number of new results which give answers to some of the open questions posed in [HM].