L-System Discovered 1891 Dimension log 4 / log 2 = 2

The Hilbert Curve

A \to {-}BF{+}AFA{+}FB{-}, \qquad B \to {+}AF{-}BFB{-}FA{+}

★Cool Fact

Unlike Peano’s curve, this one never revisits a point, and its quadrant ordering gives it unusually strong locality — which is why real systems (Uber’s H3, Google’s S2) use it for spatial indexing.

iterations 5

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