John Conway's work stretched from nearly-inaccessible math theory to fun children's games, and it defined how we thought about recreational mathematics in the 20th century. Conway's Soldiers is the perfect example of a Conway-esque math game: the rules are simple, the gameplay is easy, and it becomes very hard very quickly... and in this case of a basic checkers game, it packs a surprising punch of becoming literally impossible for a reason that isn't even close to obvious.