The Lab · Julia, 1918 · Mandelbrot, 1980

Fractal Explorer

Take a number, square it, add a constant, and repeat. Some starting points stay put forever; others fly off to infinity. The border between them never ends.

Formula

Detail and colour

Most steps per point400

Zoom deep and the edge needs more steps to sharpen. More steps is slower.

Colour cycle0

Getting around

Drag to move. Scroll, pinch or double-click to zoom. In the Mandelbrot set, the corner shows the Julia set for the point under your pointer: shift-click (or press the button) to open it.