Question

What is a Mandelbrot set?

Answer 1

A Mandelbrot set is a mathematical set of points in the complex plane, the boundary of which forms a fractal shape. The set is composed of all complex numbers c for which the complex-valued iterative equation zn+1 = zn2 + c does not tend to infinity as n tends to infinity. The set is named after the mathematician Benoit Mandelbrot, who studied it in the 1970s and is considered to be one of the most famous and studied fractal shapes in mathematics.

Answer 2

Salut/Hello!

Answer:
The Mandelbrot set is the set of values
`c` in the complex plane for which the orbit of the critical point
`z = 0` under iteration of the quadratic map

`z_(n+1) = z_(n)^(2) + c` remains bounded.

I hope it was helpful! :]