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Miloslav Ciz 2023-11-25 02:49:12 +01:00
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@ -149,5 +149,12 @@ TODO: extensions, continuous, code, optimizations
## Extensions, Modifications And Generalizations
Game of Life can be extended in great number of ways, some notable are e.g.:
- **[Larger Than Life](ltl.md) (LTL)**: Extended neighborhood of cells; one variant is e.g. 9x9 neighbourhood, cell dies with 34 to 58 live neigbors, dead cell becomes live with 34 to 45 live neighbors. Produces interesting, more smooth, bubble-like patterns that can move in various angles.
- **[Smooth Life](smooth_life.md)**: Continuous generalization of Game of Life, time steps are still discrete.
- **[Lenia](lenia.md)**: A relatively recent, highly generalized continuous version of Game of Life -- unlike Smooth Life all variables are continuous here, including space, time and states. This system produces incredible patterns and great many organisms.
- **different grid geometry, more states, additional rules, ...**: Slight modifications one can make to experiment, e.g. trying out hexagonal grid, triangular grid, [hyperbolic space](hyperbolic.md), 3D and higher dimensional grids, more states (e.g. cells that remember their age) etc. Modifying the base rules is also possible, creating so called life-like automata: the basic game of life is denoted as B3/S23 (born with 3, stays alive with 2 or 3), some life-like variants include e.g. High Life which adds a rule that a dead cell with 6 live neighbors comes alive (B36/S23) -- this gives rise to a new pattern known as *replicator*.
TODO