10101
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Eigenvalues of Cellular Automaton Matrices
Create a matrix from the pattern of 0s and 1s of a cellular automaton evolution, then find the eigenvalues of the matrix in the complex plane. Note the regular and irregular structures seen with different rules.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Slider Zoom
SNAPSHOTS
DETAILS
Even-numbered rules below 128 give matrices that are half zeros, and always have simple eigenvalues.
PERMANENT CITATION
"
Eigenvalues of Cellular Automaton Matrices
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EigenvaluesOfCellularAutomatonMatrices/
Contributed by:
Stephen Wolfram
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 »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Eigenvalues of Random Symmetric Matrices
Stephen Wolfram and Michael Trott
Ising Model
Enrique Zeleny
Constant-Addition Continuous Cellular Automaton
Stephen Wolfram
Phase Transitions in Cellular Automata
Stephen Wolfram and Kovas Boguta
Phase Transitions in 2D Cellular Automata
Stephen Wolfram and Kovas Boguta
Phase Transitions in 2D Cellular Automata--A 3D View
Stephen Wolfram and Kovas Boguta
Averaged Cellular Automaton Patterns
Stephen Wolfram
Discrete Reaction-Diffusion
Stephen Wolfram
Phase Transitions in ECA Rule 184
Stephen Wolfram and Kovas Boguta
Texture Perception Patterns
Stephen Wolfram
Related Topics
Cellular Automata
Linear Algebra
Perception
Physics
Statistical Mechanics
Browse all topics
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+