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Lenia Cellular Automaton

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About Lenia

Lenia (Bert Chan, 2019) is a continuous generalization of Conway's Game of Life. The grid holds real values in [0,1]. The growth function G(U) = 2·exp(−(U−μ)²/2σ²) − 1 determines how each cell changes: high values near μ grow, others decay. The convolution kernel is a smooth ring-shaped function K(r) = exp(4 − 4/f(r/R)) where f is a polynomial bump. This yields life-like creatures that self-organize, move, and replicate.