Mandelbrot on GeoGebra
When searching GeoGebra resources for interactive Mandelbrot-related content, there are many that feature an image of a Mandelbrot and a series of points superimposed on the image to illustrate the orbits of a particular point in the complex plane.
Would it be possible/feasible somehow to use GeoGebra to create a kind of sequence of lemniscates to obtain an actual depiction of the Mandelbrot fractal in GeoGebra as a series of curves approaching the Mandelbrot set?
Something like in this screenshot:
But the approach there seems a bit unwieldy and after just a few consecutive lemniscates GeoGebra slows down and the curves get glitchy.