I see YouTube videos all the time of Mandelbrot zooms, but what are they exactly?
In: Mathematics
The Mandelbrot set is a function that can be printed on graph paper, exactly like simpler functions like y=x^2.
Unlike simpler functions, the Mandelbrot set is infinitely complicated. No matter how close you view it, there is always more detail that you can show. So when a video “zooms” in on a Mandelbrot set, it’s just showing different levels of detail in a video format.
Graphs like the Mandelbrot set that have this infinite complexity are called “fractals”. While the Mandelbrot set is the most famous one, others exist.
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