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Mathematics

Fractal Dimension and the Hausdorff Dimension

Quick fact

The Hausdorff dimension of the Koch snowflake is log 4 / log 3 ≈ 1.2619, meaning it is 'more than a line but less than a plane'.

Why this is interesting

Have you ever wondered whether a coastline has a length? Measure it with a ruler and then with a smaller ruler—you'll get wildly different answers, and the pattern never stops.