Explore the infinite complexity of the most famous fractal in mathematics. Zoom into any region to discover endless patterns and beauty.
The Mandelbrot set is defined by the complex quadratic recurrence relation: zn+1 = zn² + c
For each complex number c, we iterate starting with z0 = 0 and check if the sequence remains bounded.
Points in the set (black) remain bounded, while points outside escape to infinity at different rates (colored).