Fractal
A fractal is an object or quantity that displays self-similarity on all scales.
Fractal is a college-level concept that would be first encountered in a dynamical systems course.
Examples
| 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. |
Prerequisites
| Dynamical System: |
A dynamical system is a description of the way a complex system changes over time. |
| Recurrence Relation: |
A recurrence relation is a mathematical relationship expressing the members of a sequence as some combination of their predecessors. |
Classroom Articles on Dynamical Systems (Up to College Level)
