The YouTube video introduces different types of cellular automata, starting with [[Conway's Game of Life]] and then moving on to more generalized versions called Smooth Life and Lenia. Smooth Life expands on Game of Life by considering larger regions around each cell and allowing for any state between dead and alive. Lenia further generalizes the dimensions, channels, and kernels of the automaton, enabling complex interactions and simulations. The video explains the process of convolution, growth functions, and integration steps involved in these cellular automata. It emphasizes the visual beauty and potential educational value of exploring and implementing these automata. The video also mentions the availability of a Rust programming language-based simulator for Lenia and encourages viewers to delve further into the code.