9814

Competing Cellular Automata

You can choose two cellular automata (CA) of radius one and two colors, one of which is white. You can also choose an initial condition for each CA. When the CAs evolve and interact, some rule is chosen that defines the interaction; this can be either random (by default) or you can explicitly select an interaction rule. You can see how the two CAs compete and struggle for survival.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Reference [1] relates the set-up of this Demonstration to biological evolution while [2, 3] discusses the dependence on the initial conditions and how simple behavior relates to complex behavior.
References
[1] J. J. Joosten, "Complexity Fits the Fittest," Emergence, Complexity and Computation, 5, 2013 pp. 51–63. doi:10.1007/978-3-319-00254-5.
[2] H. Zenil and E. Villarreal. "Cellular Automata Sensitivity to Initial Conditions" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/CellularAutomataSensitivityToInitialConditions.
[3] H. Zenil and E. Villarreal-Zapata, "Asymptotic Behaviour and Ratios of Complexity in Cellular Automata Rule Spaces," Journal of Bifurcation and Chaos23(9), 2013.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+