Mandelbrot Set
 |
|
The Mandelbrot set is a fractal consisting of all complex numbers c such that the corresponding Julia set of the function f(z) = z^2 + c is connected.
Mandelbrot set is a college-level concept that would be first encountered in a dynamical systems course.
Prerequisites
| Dynamical System: | A dynamical system is a description of the way a complex system changes over time. |
| Fractal: | A fractal is an object or quantity that displays self-similarity on all scales. |
| Recurrence Relation: | A recurrence relation is a mathematical relationship expressing the members of a sequence as some combination of their predecessors. |