Go back
Radio 4's Material world ... (The Knight's Tour)

Radio 4's Material world ... (The Knight's Tour)

General

Vote Up
Vote Down

I've just been listening to Quentin Cooper discussing mathematical problems, with special reference to chess. One problem was called the 'Knight's Tour', but it was not said (or I missed it) whether it could be done or indeed has been solved. Does anyone know of an answer?

Problem:
Place a knight onto an empty standard chess board on any square. Move the knight in the usual way. Every square must be landed on, but no square can be visited twice. The knight should also end up on the square it started from!

Vote Up
Vote Down

http://www.worle.com/chess/solution.htm

Vote Up
Vote Down

Thanks Saffa73 - Just what i needed. Clever is it not?

Vote Up
Vote Down

Originally posted by Crush Station
I've just been listening to Quentin Cooper discussing mathematical problems, with special reference to chess. One problem was called the 'Knight's Tour', but it was not said (or I missed it) whether it could be done or indeed has been solved. Does anyone know of an answer?

Problem:
Place a knight onto an empty standard chess board on any square ...[text shortened]... but no square can be visited twice. The knight should also end up on the square it started from!
how about-get some domino's, and place the domino's so that one covers two squares. only one domino per square (well-one half 😛)-and they can only do vertically and horizontally-like a rook moves-not diagonally-like a bishop...

can this be done. if so, how. and if not, why not?