KGameOfLife is a program that simulates the Game of Life.
It was invented by John Conway, a Cambridge mathematician, in 1970. It is a mathematical recreation, not a real game.
So what is it useful for? A mathematics teacher can use it to add more fun in her/his lessons. She/he can explain the rules to the students and make them compute manually with a pen and paper a few generations. She/he then can use the software to compare the results. The students can try to find the patterns that will stay the longer "alive", those which will disappear or oscillate.
Of course, the Game of Life is also for people who like to wonder about things and to experiment. At the end of this handbook, there are several useful links to help you go further in your mathematical quest.