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Mathematics

Fractal Geometry and the Measurement of Irregular Shapes

Quick fact

A fractal curve can have a dimension that is not a whole number—for example, the Koch snowflake has a dimension of about 1.2619, meaning it fills more space than a line (dimension 1) but less than a plane (dimension 2).

Why this is interesting

You've probably heard that the coast of Britain is infinitely long—but how can that be, when you can walk along it? The answer lies in a strange new kind of geometry.