Mathematics

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Fractal generation process and the Koch snowflake.

Step-by-step illustration of the Koch snowflake fractal, showing five stages of construction from a simple line to a highly intricate pattern, with corresponding triangular shapes on the right representing the evolving form of the snowflake.

This illustration demonstrates the iterative process of constructing the Koch snowflake, a classic example of a mathematical fractal. The diagram progresses from the initial line segment (Stage 0) to increasingly intricate stages by applying a generator pattern. The accompanying triangular sequence visually represents the Koch snowflake’s development. This image is ideal for mathematics textbooks exploring concepts in fractal geometry and iterative functions.

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