  In 1973 Fraenkel discovered interesting sequences which split the positive
integers. These sequences became famous, because of a related unsolved
conjecture. Here we construct combinatorial games, with `playable' rulesets,
with these sequences constituting the winning positions for the second player.
Keywords: Combinatorial game, Fraenkel's conjecture, Impartial game, Normal
play, Playability, Rational modulus, Splitting sequences
