Corpus ID: 195316900

A q-queens problem VII: Combinatorial types of nonattacking chess riders

@article{Hanusa2020AQP,
  title={A q-queens problem VII: Combinatorial types of nonattacking chess riders},
  author={Christopher R. H. Hanusa and T. Zaslavsky},
  journal={Australas. J Comb.},
  year={2020},
  volume={77},
  pages={326-335}
}
On a convex polygonal chessboard, the number of combinatorial types of nonattacking configuration of three identical chess riders with $r$ moves, such as queens, bishops, or nightriders, equals $r(r^2+3r-1)/3$, as conjectured by Chaiken, Hanusa, and Zaslavsky (2019). Similarly, for any number of identical 3-move riders the number of combinatorial types is independent of the actual moves. 
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