turn on turbo mode!!! shift+green flag or go inside the project and click "turn turbo mode on" under the edit menu :D 60 fps mode on turbowarp also makes it go wayyyy faster: https://turbowarp.org/857810156?fps=60&turbo the mandelbrot set is the set of imaginary numbers c for which the recursive function zₙ = zₙ₋₁² + c with z starting at 0 doesn't diverge to infinity (which i tested by checking if they reached an escape value). those numbers are represented in black on the imaginary numbers plane. the color of the numbers outside of the set is determined by the number of iterations it takes for the function to reach the escape value. you can click the adjust button to see some sliders that you can mess around with. keep in mind that increasing the detail & zoom sliders will make it generate slower (i highly recommend using turbowarp if you want to make them higher). make sure to click the regenerate button after you adjust them. the detail slider determines the number of iterations the program goes through to see if the point is in the mandelbrot set. this also makes the colors of the other points form a smoother gradient since they're determined by what percentage of the maximum iterations the function went through before reaching the escape value. if you want to set them to other values there's a button for that, if you leave a field blank it won't change
i learned how to check if a point in the mandelbrot set diverges to infinity from this wikipedia article https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set
