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Sep 26, 2023 at 21:40 answer added ryanyuyu timeline score: 0
Sep 23, 2023 at 11:17 comment added Marco Ripà I am asking this since I am working on a long preprint about metric spaces in chess and you are right, there is not a unique way to generalize some chess pieces in multiple dimensions. Anyway, I discuss the knight move rule in this recent preprint on arXiv: arxiv.org/abs/2309.09639 The outcome is quite surprising in 5 dimensions and above (see Theorem 2.1 and Theorem 4.1).
Sep 22, 2023 at 21:25 answer added Philip Roe timeline score: 1
Sep 22, 2023 at 14:47 comment added qwr I don't think there's one clearly correct generalization, in comparison to rook.
Sep 22, 2023 at 13:06 comment added Abigail Shouldn't you first determine where a multidimensional Knight can move to before worrying about the best way to describe it? The 2D Knight moves to a square 2 away in one dimension, and 1 away in the other, that is, it's a (2, 1) leaper. It's not obvious to me how a 3D Knight moves. ((3, 2, 1)? (2, 1, 1)? (2, 2, 1)?)
Sep 22, 2023 at 11:35 history asked Marco Ripà CC BY-SA 4.0