Fox and Hounds

Running the fox

You play one fox against four hounds on the dark squares of a checkerboard, and the odds only look bad. Everyone moves one square diagonally and nobody ever captures. The hounds are trying to crowd the fox into a dead end; the fox is trying to slip past them to their home edge. The catch that balances it all: the hounds may only move down the board, never back, while the fox can move any diagonal it likes, forward or back.

That backward step is your whole game. A solid line of hounds can't be charged through, so you have to make them break their own wall. Feint toward one wing to tempt a hound forward out of line, then cut back and dart through the gap it leaves before the others slide across to cover. Probe both sides, keep the hounds guessing, and punish any hound that oversteps: since it can never retreat, the square behind it becomes open road you can aim for.

One habit worth building: count your escape squares before you move. If the hounds are funnelling you toward a corner and your diagonals are running out, switch flanks early rather than waiting until you're boxed with nowhere to go. The fox's freedom is only an advantage while it still has room to use it.

The waiting game

The deepest trick in the fox's bag is doing nothing, on purpose. The hounds have to move every turn, and no hound can ever step back, so each of their moves spends something they can never get back. You, meanwhile, can shuffle between two safe squares all day. Use that. Sit in front of the wall, step left, step right, and hand the problem back to the computer. Sooner or later a hound has to advance somewhere, and every advance changes the wall. The classic pattern goes like this: the fox idles in the centre, a wing hound is eventually forced forward to keep the line moving, and the square it just left becomes the door. Beginners feel like shuffling is wasted time. It's the opposite. You are making the hounds show their hand first, and against four pieces that cannot retreat, moving second is a luxury the fox should never give up. One warning about the shuffle, though: check that both of your waiting squares stay safe before you settle in. If the advancing wall can take one of them away next turn, you are not waiting, you are cornering yourself politely.

Why the hounds are so tough

Here's the honest truth about this old game: with perfect play, the hounds always win. Four hounds that keep an unbroken diagonal line and advance in step can herd the fox into a corner every time. So beating them isn't about a secret route. It's about catching the computer in a lapse, spotting the single turn where the wall develops a crack. That's what keeps the game moreish, and why threading past a line that shouldn't have a gap feels earned rather than lucky. Fancy the other role? Tap the button to command the hounds against a fox AI, and see if you can keep that wall intact yourself. If you do take the hounds, the whole job is the line: advance your four in step, keep them level, and never let one hound get two rows ahead of its neighbours, because the fox lives on exactly that square. Herd rather than chase. You win by shrinking the fox's room, not by following it around the board.

An old game, honestly solved

This is one of the fox games, a family of chase games played across northern Europe for centuries in which one strong piece faces a pack of weak ones. On the checkerboard it also goes by Wolf and Sheep, same rules, different animals. What makes it special among old games is that it has been fully worked out: with best play the hounds win, always, and that is rare, certain knowledge to have about any game. It's also why the game makes such a good puzzle. You are not searching for a winning strategy that doesn't exist. You are hunting for the one mistake that turns a certain loss into a great escape, and that is a different, sharper kind of fun.