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proj [2014/06/23 20:39] marekproj [2014/06/25 14:14] marek
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 **Cellular Automata**  **Cellular Automata** 
-Cellular Automata (CA) ([[http://en.wikipedia.org/wiki/Cellular_automaton]]) represent a discrete model, primarily of computation itself - but also applicable to physics, complexity science, and biology among others. CA were discovered in the 1940s by Stanislaw Ulam and John von Neumann while working on the Manhattan project to develop the first nuclear weapons.+Cellular Automata (CA) ([[http://en.wikipedia.org/wiki/Cellular_automaton]]) represent a discrete model, primarily of computation itself - but also applicable to physics, complexity science, and biology among others. CA were discovered in the 1940s by Stanislaw Ulam and John von Neumann while they were both working on the Manhattan project to develop the first nuclear weapons.
  
 CA are characterized by a regular grid or lattice of cells, each in a finite number of states (ex. {on,off} or {1,0}). The grid should be theoretically infinite, but due to the CA are characterized by a regular grid or lattice of cells, each in a finite number of states (ex. {on,off} or {1,0}). The grid should be theoretically infinite, but due to the
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 **Conway's Game of Life** **Conway's Game of Life**
  
-Possibly the most famous CA is Conway's Game of Life (sometimes just called "Life" by aficionados) invented by John Conway in 1970. It is a "game" in the sense that the player assigns the initial state of the game, and can observe its evolution. This game is very well known in computing and mathematics circles, to the point where a propagating Life configuration called a "Glider" (http://www.argentum.freeserve.co.uk/lex_g.htm#glider) has been unofficially adopted as the symbol or mascot for "hackers" in the classic sense (i.e. computing enthusiasts see: http://tools.ietf.org/html/rfc1392). +Possibly the most famous CA is Conway's Game of Life (sometimes just called "Life" by aficionados) invented by John Conway in 1970. It is a "game" in the sense that the player assigns the initial state of the game, and can observe its evolution. This game is very well known in computing and mathematics circles, to the point where a propagating Life configuration called a "Glider" (http://www.argentum.freeserve.co.uk/lex_g.htm#glider) has been unofficially adopted as the symbol or mascot for "hackers" in the classic sense i.e. computing enthusiasts (see: http://tools.ietf.org/html/rfc1983 & ctrl+f search "hacker"). 
  
-Specifically, Life consists of a two-dimensional lattice. Considering a cell's 8-neighbourhood a cell's next state is computed as+{{:game_of_life_animated_glider.gif|}} 
 + 
 +Figure 1. A Glider in Life (source: WikiMedia Commons) 
 + 
 +Specifically, Life consists of a two-dimensional lattice of cells that have two possible states: {alive, dead}. Considering a cell's 8-neighbourhood a cell's next state is computed as
 follows: follows:
  
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   * Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.   * Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.
 For more information you can consult (as a starting point): For more information you can consult (as a starting point):
-http://en.wikipedia.org/wiki/Conway's_Game_of_Life+[[http://en.wikipedia.org/wiki/Conway's_Game_of_Life]] 
 + 
 +{{:ca-moore.png|}}
  
 +Figure 2. The red cells are the 8-connected (or Moore Neighbourhood) of the blue cell in the center. (source: WikiMedia Commons)
  
 Interestingly, it has been demonstrated that the game of life can simulate Interestingly, it has been demonstrated that the game of life can simulate
proj.txt · Last modified: 2015/03/05 22:54 by bil