Rules of the Game
The Game of Life takes place on an infinite grid. Each cell is either occupied or empty. Every night, in empty cells that have exactly 3 neighbors, a new inhabitant is born, and residents that have less than 2 or more than 3 neighbors die (because of loneliness or overpopulation). The neighbors of a given cell are all cells that have at least one common point, and there are always 8 of them.
Create a colony and watch its development. There is a colony of only 5 inhabitants that is constantly changing for hundreds of generations, can you spot it?
In Jorge Gelfand's game, the rules are different: on even days, those who have 3 or 4 neighbors survive and are born. On odd days, those with 2,3 or 5 neighbors survive, and those with 3 are born. In this mode, there is a colony that, like a virus, copies itself, can you find it?
