The game of Al-Jabar is based on concepts of color-mixing familiar to most of us from childhood, and on ideas from abstract algebra, a branch of higher mathematics. Once you are familiar with the rules of the game, your intuitive notions of color lead to interesting and often counter-intuitive color combinations created in gameplay. While the mathematics involved uses elements of group theory, a foundational topic in abstract algebra, understanding the game is not difficult and requires no mathematical background. A game involves reducing your original hand of colored pieces before the other players. Each player takes a turn by exchanging any combination of 1, 2 or 3 pieces from his or her hand for a set of 1, 2 or 3 pieces from the Center having an equal sum of colors. After the exchange, pairs of like-colored marbles are canceled from the center and replaced by a black marble, and the other players receive black marbles as well.