Basic Mandelbrot Set with Pseudocode

for (int i = 0; i ≤ 500; i++)
{
	for (int j = 0; j ≤ 500; j++)
	{
		x = 0.0;
		y = 0.0;
		xs = -2.5 + (i / 100.0);
		ys = -2.5 + (j / 100.0);
		k = 0;
		do
		{
			k = k + 1;
			xnew = x*x - y*y + xs;
			ynew = 2.0*x*y + ys;
			x = xnew;
			y = ynew;
		} while ((k ≤ kmax) && (x*x + y*y ≤ 6.25));
		PlotPixel(i, j, color);
	}
}

Mandelbrot	Build: (f(x,y), g(x,y))	Escape: h(x,y)>value	Plot
Basic Mandelbrot Set	(x² - y², 2.0*x*y)	x² + y² > 6.25	Pixel
Mandelbrot Variant #1	(x² - y², 2.0*x*y)	x³ + y² > 6.25	Pixel
Mandelbrot Variant #2	(x*y², y*x²)	x² + y² > 6.25	Pixel
Mandelbrot Variant #3	(x*y², y*x²)	x² + y² > 6.25	Point

for (int i = 0; i ≤ 500; i++)
{
	for (int j = 0; j ≤ 500; j++)
	{
		xs = 0.0;
		ys = 0.0;
		x = -2.5 + (i / 100.0);
		y = -2.5 + (j / 100.0);
		k = 0;
		do
		{
			k = k + 1;
			xnew = x*x - y*y + xs;
			ynew = 2.0*x*y + ys;
			x = xnew;
			y = ynew;
		} while ((k ≤ kmax) && (x*x + y*y ≤ 6.25));
		PlotPixel(i, j, color);
	}
}