3
votes
1answer
301 views

How far can a knight travel without visiting the same square twice?

How many Knight moves is it possible to execute on an empty chess board before the Knight lands on a square it has already landed on in its previous moves? The most I've ever been able to land on was ...
8
votes
1answer
433 views

Is it possible to position all chess pieces on the board such that all pieces defend at least one piece and attack at least one piece?

Is it possible to position all chess pieces on the board such that all pieces defend at least one piece and attack at least one piece?