Chess Billiards
Abstract
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].
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.14773
 Bibcode:
 2020arXiv200714773N
 Keywords:

 Mathematics  Dynamical Systems;
 Mathematics  Combinatorics
 EPrint:
 18 pages, 11 figures