the.com/lorenz attractor
chaos wearing a butterfly costume, tracing the same two loops forever without ever repeating.
means a set of equations modeling convection currents that produces a trajectory which never settles down or repeats, yet stays bounded in a strange, orderly-looking shape.
from edward lorenz, an mit meteorologist, was rerunning a weather simulation in 1961 and rounded a variable from six decimals to three, expecting no real change, and got a wildly different forecast, which he wrote up in 1963 as deterministic nonperiodic flow, later nicknamed the butterfly effect.
shapelooks like a butterfly or owl mask
dimensionfractal dimension around 2.06, not a whole number
sensitivitytiny input changes cause totally different paths
origin fieldborn from a simplified weather model