Lévy C curve · self-similar polyline
N = 12 · segments = 4096 · D ≈ 2.0000
One rule is applied to every straight piece over and over: replace it with two shorter pieces bent by the same angle. After a dozen rounds the shape has thousands of segments and every zoomed-in part looks like the whole. Such repeated substitution is how coastlines, lightning channels and antenna designs get length far beyond their apparent size.
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