# Can a knight move through all squares from its original position?

I'm so confused about this. I googled it and read about knight's tours, however they all start from illegitimate positions. I want to know if a knight can move through all squares from its original position (e.g. b8, g8, b1, and g1).

• If the knight lands on all squares in its tour, at some point it is going to hit each "original square". So take one of the tours you've seen, and use one of those original squares as the starting point and follow the tour from there. When you get to the "end", go back to the beginning until you get back to that original square you used as your starting point. Aug 19, 2018 at 17:15
• @GreenMatt you can't go back to the beginning unless the tour is a circle like in the answer. Aug 19, 2018 at 17:21
• @DonQuiKong: Yes, I should have specified a "closed tour" when I typed that. The point still holds for such tours. Now, can you show me a knight's tour that actually moves in a circle? :-p Aug 19, 2018 at 17:30
• @GreenMatt sure, just take the one in the answer and zoom out ;). But there are open tours so you would have had to prove there is a closed one too Aug 19, 2018 at 18:57
• @GreenMatt Why did you agree with DonQuiKong? Why would it matter if it's not a closed one? Couldn't it backtrack and get everywhere? (Not saying you're wrong. I just don't understand.) Aug 20, 2018 at 18:40