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infinite perimeter

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Model Perspective
Model Perspective
Aug 17, 2022 · Fundamentals

Why Coastlines Have No Finite Length: The Infinite Perimeter of the Koch Curve

The article explains how the Koch curve, a classic fractal introduced by Helge von Koch, is constructed, why its perimeter grows without bound while its area remains zero, and how this illustrates why natural coastlines cannot have a well‑defined length, contrasting smooth curves with self‑similar fractals.

Koch curvefractalgeometry
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Why Coastlines Have No Finite Length: The Infinite Perimeter of the Koch Curve