the Game of Life, how many cells do we need at a minimum?
0When stepping into the world of the Game of Life, how many cells do we need at a minimum?
First, to understand the basic rules, a 3×3 grid is necessary. In the Game of Life, each cell is affected by the eight surrounding cells, so this is the smallest size that allows us to observe the fundamental rules of "birth," "survival," and "death."
Next, the smallest oscillator, the Blinker, also requires at least 3×3 cells. When three cells align vertically, they transform into a horizontal line in the next generation, oscillating back and forth—almost like the pulse of life itself.
However, to observe a moving pattern like the Glider, a 5×5 grid is required. This iconic pattern slides diagonally across the board, embodying the essence of the Game of Life. A 4×4 grid would be too small to allow for movement.
For more complex patterns, a grid of at least 10×10 is ideal. For example, the Gosper Glider Gun, which continuously generates gliders indefinitely, requires a minimum of 36×9 cells.
By choosing the appropriate grid size, we can fully experience the depth of the Game of Life. From the smallest grids to boundless universes, why not explore the infinite possibilities that emerge from simple rules?