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Cellular automata Abhranil Das 1st year, IISER Kolkata
Definition adj.consisting of or containing a cell or cells    n. pl. au·tom·a·tons or au·tom·a·ta 1. A self-operating machine or mechanism, especially a robot. 2. One that behaves or responds in a mechanical way. cel·lu·lar au·tom·a·ton
Definition 1D grid 2D grid
John Conway 	    Born in 1973 in England, inventor of the Game of Life. 	    Currently Professor of Mathematics, Princeton University.
The Game of Life Any live cell with 0-1 neighbours dies from underpopulation. Any live cell with 4 or more neighbours dies from overcrowding. Any live cell with two or three neighbours stays alive. Any blank cell with exactly three live neighbours becomes a new live cell.
Any live cell with 0-1 neighbours dies from underpopulation. Any live cell with 4 or more neighbours dies from overcrowding. Any live cell with two or three neighbours stays alive. Any blank cell with exactly three live neighbours becomes a new live cell. The Game of Life
Common Patterns: Static
Common Patterns: Oscillators
Common Patterns: Gliders
r-pentomino Guess the number of generations after which this shape will become uninteresting?
Common Objects: Methuselah
The Termite Automaton Each termite moves in a random direction, just like Brownian motion. If it collides against a woodchip and is not carrying any woodchip at that time, it picks up that woodchip, then again goes off with it in a random direction. If it collides with a woodchip while it’s carrying one, it puts down its woodchip there, then heads off again in a random direction.
Credits StumbleUpon www.stumbleupon.com Math.com: Wonders of Math www.math.com/students/wonders/life/life.html Wikipedia en.wikipedia.org/wiki/cellular_automata en.wikipedia.org/wiki/conway%27s_game_of_life Starlogo education.mit.edu/starlogo

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Cellular automata

  • 1. Cellular automata Abhranil Das 1st year, IISER Kolkata
  • 2. Definition adj.consisting of or containing a cell or cells   n. pl. au·tom·a·tons or au·tom·a·ta 1. A self-operating machine or mechanism, especially a robot. 2. One that behaves or responds in a mechanical way. cel·lu·lar au·tom·a·ton
  • 4. John Conway Born in 1973 in England, inventor of the Game of Life. Currently Professor of Mathematics, Princeton University.
  • 5. The Game of Life Any live cell with 0-1 neighbours dies from underpopulation. Any live cell with 4 or more neighbours dies from overcrowding. Any live cell with two or three neighbours stays alive. Any blank cell with exactly three live neighbours becomes a new live cell.
  • 6. Any live cell with 0-1 neighbours dies from underpopulation. Any live cell with 4 or more neighbours dies from overcrowding. Any live cell with two or three neighbours stays alive. Any blank cell with exactly three live neighbours becomes a new live cell. The Game of Life
  • 10. r-pentomino Guess the number of generations after which this shape will become uninteresting?
  • 12. The Termite Automaton Each termite moves in a random direction, just like Brownian motion. If it collides against a woodchip and is not carrying any woodchip at that time, it picks up that woodchip, then again goes off with it in a random direction. If it collides with a woodchip while it’s carrying one, it puts down its woodchip there, then heads off again in a random direction.
  • 13.
  • 14. Credits StumbleUpon www.stumbleupon.com Math.com: Wonders of Math www.math.com/students/wonders/life/life.html Wikipedia en.wikipedia.org/wiki/cellular_automata en.wikipedia.org/wiki/conway%27s_game_of_life Starlogo education.mit.edu/starlogo