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Iteration: 0
How it works: The unit square is stretched vertically (×2.5), compressed horizontally (×0.4), then folded back over itself like a horseshoe.
Invariant set: Points that stay bounded under all iterations form a Cantor set — uncountably infinite, measure zero.
Symbolic dynamics: Each orbit is encoded as a bi-infinite sequence of 0s and 1s (which strip the point occupies).
Click "Symbolic Orbits" to track a point