In retrospect it’s pretty obvious that the most efficient way to traverse a grid would include no diagonals. Every time you move on an axis you move to a cell in 1 unit distance of travel. Why would you ever choose to move to a cell in √2 unit distances when you could move 1 unit distance to achieve the same result of covering one more cell?
In retrospect it’s pretty obvious that the most efficient way to traverse a grid would include no diagonals. Every time you move on an axis you move to a cell in 1 unit distance of travel. Why would you ever choose to move to a cell in √2 unit distances when you could move 1 unit distance to achieve the same result of covering one more cell?