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Knight's Tours 

Dave's Math Channel
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Besides the Eight Queens puzzle, the Knight's Tour is the other classic mathematical chess puzzle, namely, to have a chess knight complete a tour of all 64 squares, using a sequence of legal knight moves, without revisiting any of them. In this video I discuss knight's tours at length, including how many there are, including closed tours (ones that return to their starting square), on boards of various sizes, as well as how to find them.

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24 май 2024

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Комментарии : 4   
@davesmathchannel-ts2ik
@davesmathchannel-ts2ik 22 дня назад
I just completed my first online course on Udemy, entitled Games and Puzzles, grade level 7 - 12. Here's a link in case you're interested. www.udemy.com/course/games-and-puzzles/learn/lecture/43079030#overview. In addition to my online math school, I'm offering online tutoring via Skype in math or physics for anyone who's interested. I charge $30 an hour, for which we can arrange payment through Zelle.
@davesmathchannel-ts2ik
@davesmathchannel-ts2ik 22 дня назад
I made a small mistake at the end of this video. The last slide I showed is not quite a complete knight's tour, since a few squares haven't been visited and are unreachable, so in this case, backtracking would be required to complete it.
@irrelevant_noob
@irrelevant_noob 7 дней назад
Also i'd argue that at 1:55 the single "tour" for n=1 isn't closed. 🧐 ... and you stated as much at 3:09, considering that 1 is odd. ^^
@davesmathchannel-ts2ik
@davesmathchannel-ts2ik 7 дней назад
@@irrelevant_noob Thanks for your corrections. Good observations!
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