This well-known and beautiful fractal curve is constructed by starting with a single large triangle. Each straight edge is then divided into three, with a new triangle being added to the centre third. The process is then repeated ad infinitum
You are encouraged to view this process by using the zoom function of the SVG viewer. Zooming: Hold the control key and click to zoom in at the mouse pointer location. Hold the control key and click-and-drag to select a region to zoom into. Hold the control and shift keys and click to zoom out. You can also use the zoom commands in the context menu. You can access this menu by right-clicking the mouse on the SVG image.
If you have an older and slower computer the image will take a couple of minutes to form.