The Julia set

The Julia set is a beautiful fractal pattern defined by iterating the function f(z) = z² + c over complex numbers. Points that stay bounded form the intricate boundary you see, while others escape to infinity.

Use the sliders below to change the complex constant c. The Real c slider adjusts the real part of c, and the Imag c slider adjusts the imaginary part. Changing these values morphs the fractal into new patterns!