I had a math teacher in high school who gave us a puzzle to solve. We had to draw a chessboard with one piece that could only move in straight paths. Diagonal movement was forbidden. The goal was to draw a path which passed every square on the board only once. The piece had to start at A1 and finish at H8. Unfortunately he never gave us the answer to the puzzle and I'm getting to the point that I believe the reason for that is because there is no such answer.
What do you guys think? Can this puzzle be solved?