What are fractals and how did they come to be?
Fractals are complex patterns that are self-similar across different scales. They were popularized by mathematician Benoit Mandelbrot in the 1970s.
Can you tell me more about Benoit Mandelbrot's contributions?
Mandelbrot introduced the concept of fractal geometry, which describes how fractals can be used to model natural phenomena like coastlines and clouds.
What are some real-world applications of fractals?
Fractals are used in various fields, including computer graphics, nature modeling, and even in analyzing financial markets.
How do fractals relate to chaos theory?
Fractals often arise in chaotic systems, where small changes can lead to vastly different outcomes, illustrating the complexity of these systems.
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