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I think that this board can perhaps be described as on the surface of a Klein bottle. Does anyone care to correct me?
I don't think it is as simple as that. In fact it is very unclear what exactly is meant. But row 1 is said to be 'joined' with both row 8 and row 5. So there is a T-junction of some sort involved. It is not clear if this implies that row 5 and 8 are also joined.
Since a toroidal board does not count as a 4D board, I removed the 4D category from this page. A 4D board is one where each coordinate is designated by 4 values, each one representing a different dimension. But each coordinate in this game is designated only by its rank and file.
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