Look at “Notes and Credits” for information about the Mandelbrot set! Just enter your complex number, press the iterator button and watch the numbers BLOW UP (if they do)!
This project was meant to be an iterator for the Mandelbrot set. If you don’t know what the Mandelbrot set is, it was discovered by Benoit Mandelbrot. Think of a point on the complex plane, a complex number, we’ll call it c. This iterator squares c and adds it to the original value. So starting with z₀=0 (z being the iterations), zₙ₊₁= zₙ²+c. If you’re wondering what this has to do with the Mandelbrot set, each point c on the complex point is colored by how fast z blows up to infinity, or how few iterations it takes to blow it up. In cases where x doesn’t diverge out to infinity within an iteration limit, the point c is often colored black. That’s what gives it the curvy, fractal-like appearance! If you don’t wanna read all that, here’s a simplified version. :) This is the repeater for the Mandelbrot set, which has the formula zₙ₊₁= zₙ²+c where zₙ is the nth repetition of the formula, starting with z₀=0 and c is a complex number (that you enter) that can be shown on the complex plane. In the set, every point c is colored by how fast it goes out to infinity, it it doesn’t go to infinity, it’s colored black!
