Eleusis: A different kind of card game
In 1956 Robert Abbott invented a game he called Eleusis. In 1959 Martin Gardner popularized the game in his Scientific American column. Eleusis is what's called an "induction game" which means that players need to try to induce the rules of the game. Inductive games are compared to deductive games, where players know what the rules are and try to deduce their moves. Yes, I find the terms confusing but, nonetheless, they're worth knowing because if you find yourself enjoying Eleusis you'll know how to refer to that type of game.
Eleusis is played with an ordinary deck of cards. The idea of the game is that one player creates a secret rule and other players have to play cards that satisfy that rule. Ultimately, of course, the goal is to determine what the rule is.