Be patient, as it may take a while for the image to load.
You can zoom in by clicking (or touching) a region of the set. But, don't click again until the new image is drawn.
You can zoom into the image up to a magnification of about 1,000,000,000,000 (1 trillion) before you've reached the computational limits of the program. This is similar to seeing the grains of dust on the moon with a telescope from Earth, or to seeing the Perseverance Rover and Ingenuity Drone on Mars. If the entire Mandelbrot Set (as seen at the initial scale below) was magnified 1 trillion times, it would be larger than the orbit of Neptune. However, with infinite computational ability, the Mandelbrot Set could be magnified forever and revealing more and more detail and complexity!
Click the "reset" button to start over again.
z1 = z02 + c
Note that a "first-degree Mandelbrot set" is not a fractal.
My musings: Where did mathematics come from?
Sir Isaac Newton said that the universe was written in the language of mathematics. We can use mathematics to predict the motions of the planets and stars. This is illustrated by the orbits of the moons around Jupiter, which can be predicted for hundreds of years based on a simple set of equations. See my page, Jupiter and Its Moons to see where the moons are right now.
Convert numbers Convert numbers from base-10 to any other base.