isomorphismes

multiplicities of freedom demonstrates Chaos Theory in Excel. If he filled in more initial values, you would see a thick bar—like a picture of white-noise.

• Butterflies flapping their wings in Vermont to change the wind in Hangzhou?
• A drop of water on Jeff Goldblum’s hand taking a very different path down depending on random parameters?
• Or—as in multiplicitiesoffreedom’s picture—like a hashing function, the codomain being a highly-discrepant reordering|shuffle of the domain?
  
  
  

I found a paper on Chaos Theory as a metaphor for Institutional Economics and I just couldn’t help but play around with the equations inside. (Like the methodology of inst. econ)

For those who want to play around with the logistic map in R as well as Excel, do:

require(fNonlinear)
?lorentzSim
y = logisticSim()
plot(y, col=rgb(.1,.1,.1,.75) )