In the above examples, for every possible location of a cell, there is a cube mesh. Let me know if you find any cool configurations! Optimizing See if you can find the configuration by trying it out yourself. I am still in the process of discovering it. I have tried really hard to find a configuration that produces the glider behavior found in the 2D version. This is a cube that repeats every 3 generations. I have taken the liberty to name them as well :) The Stairs I created the ability to randomize the starting population and found some really neat cell behaviors. Any dead cell with 4 live neighbors becomes a live cell.Īfter making the change to the algorithm, this was the result.Any live cell with 5-6 live neighbors survives.After tinkering with the numbers, I came up with the following rules: In 2D space, a cell can have 8 neighbors, but in 3D it becomes 26 neighbors. I also had to change the rules for the algorithm. This can be done effectively in typescript using a 2-dimensional array to represent the grid: Similarly, all other dead cells stay dead.Īs seen above, this can be implemented easily using a HTML canvas. All other live cells die in the next generation.Any dead cell with 3 live neighbors becomes a live cell.Any live cell with 2-3 live neighbors survives.The game of life has 3 rules ( via wikipedia): This means that the game of life can be used to represent any calculation that a computer can do! Secondly, the game of life can simulate a Turing machine. Firstly, cells in the game of life can reproduce themselves. The population size must be just right in order to grow and sustain life.Ĭonway’s game of life has two important properties. If the population is too large, then the population will shrink due to overpopulation. For example, if there are too few rabbits in an area, the rabbit population will shrink in that area. What is Conway’s game of life exactly?Ĭonway’s game of life is an algorithm that simulates changes in populations. After looking around the internet, I found only a few examples of 3D versions of the algorithm, so I’d thought I would give it a go. I’ve been really fascinated with Conway’s game of life lately and I wanted to make my own implementation of his famous algorithm in 3D space.
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