Mandelbrot set

Ever wondered why some shapes never look the same no matter how much you zoom in?

Mandelbrot set

Ever wondered why some shapes never look the same no matter how much you zoom in?

Imagine you're looking at a coastline through a magnifying glass. The closer you zoom in, the more intricate details you see, like tiny bays and peninsulas.

The Mandelbrot set shows us that some shapes have endless complexity, no matter how much you zoom in. The formula at the end describes this set.

Example

Zooming in on the coastline, you see smaller bays, then even smaller ones, and so on, without ever repeating a pattern.

Remember this

The Mandelbrot set reveals the beauty of infinite complexity in simple mathematical rules.

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