TED: Fractals and the art of roughness | Benoit Mandelbrot

The video explores the concept of roughness in nature, using examples like cauliflower and lungs to illustrate fractal geometry. It discusses the historical development of mathematical shapes and their applications in anatomy and finance. The discovery of the Mandelbrot set is highlighted, showcasing the beauty and complexity of simple mathematical rules.

What role did mathematics play in understanding the structure of lungs according to the speaker?

What does the speaker imply about the relationship between mathematics and nature?

What was the speaker's reaction to the discovery of the Mandelbrot set?

In what ways does the speaker suggest that simple rules can lead to complex outcomes?