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Mathematics

Fractals and the Concept of Self-Similarity in Geometry

Quick fact

A snowflake's intricate structure is a fractal: its arms branch in a self-similar pattern, and the detail at the microscopic level resembles the shape at the macroscopic level.

Why this is interesting

You may have seen a Romanesco broccoli, whose spiraling pattern repeats endlessly on smaller scales—but have you ever wondered how nature builds something that looks the same from zoomed-out to zoomed-in?