[seqfan] Re: Knight's tour on infinite board
gladhobo at bell.net
Sat May 4 16:45:49 CEST 2019
> And are there really only 8 solutions?
The 8 sequences likely show the 8 possible first moves of a knight at position 1 in a particular (but presently undefined) knight's tour spiral construction. That other constructions exist (perhaps even other spiral constructions) appears to be certain:
Joel David Hamkins: "My answer can also be used to make non-spiral tours, since you can assemble the 5×5 blocks in any tiling, as long as each block is attached by a side to the next. It follows that there are continuum many such tours."
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