!header A Julia Set Mosaic !text b j The Mandelbrot set and Julia sets share a close relationship: the Julia set with parameter \(c\) “looks like” the Mandelbrot set at \(z = c\). But just how close is that resemblance? Something we might try is picking a bunch of points in the complex plane and drawing a small Julia set at every one. We’d expect to get something vaguely resembling the Mandelbrot set — but it’s remarkable just how accurate that picture is. !begin-text-boxes num-julias 100 Sets per Side julia-size 20 Set Size !end-text-boxes !begin-text-buttons generate Generate !end-text-buttons !canvas !begin-text-buttons download Download Image !end-text-buttons !footer