Understanding Cellular Automata and Their Applications

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Explore the fascinating world of Cellular Automata (CA) - collections of colored cells on a grid that evolve based on set rules and nearest-neighbor interactions. Witness how CA contribute to modern art and nature, and delve into the code outline and references associated with this captivating topic.

  • Cellular Automata
  • Evolution
  • Art
  • Nature
  • Code

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Presentation Transcript


  1. Controlling Cellular Automata Hannah Dromiack Mentors: Sara I. Walker, Douglas G. Moore

  2. What are Cellular Automata? A Cellular Automaton (CA) is a collection of "colored" cells on a grid of specified shape. The cells evolve through a discrete number of time steps according to a set of rules based on nearest-neighbor interactions.

  3. t = 0

  4. t = 1

  5. t = 2

  6. t = 15 Image provided be Wolfram [3]

  7. Seen in Nature [2] [3] [2]

  8. Code Outline Input: Initial [1,0,1,1,0,0,1,1] Final [0,0,1,0,1,1,0,1] Function: where_to_go(initial, final): Output: [[22, 23, 150, 151], [73, 105, 201, 233]]

  9. Contribution to Modern Art

  10. References [1] https://mathworld.wolfram.com/Rule30.html [2] http://rebloggy.com/post/naturally-occurring-sea-shell- patterns-similar-to-those-generated-by-cellular-au/99807772952 [3] http://eusa-riddled.blogspot.com/2015_06_07_archive.html

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