Six-Pronged Mandelbar Six-Pronged Mandelbar Expanded Center Six-Pronged Mandelbar Snowflake

Six-Pronged Mandelbar with Pseudocode

for (i = 0; i ≤ 800; i++)
{
	for (j = 0; j ≤ 800; j++)
	{
		x = 0.0;
		y = 0.0;
		xs = -4.0+(i / 100.0);
		ys = -4.0+(j / 100.0);
		k = 0;
		do
		{
			k = k+1;
			xnew =  x⁵-10.0*x³*y²+5.0*x*y⁴+xs;
			ynew = -y⁵+10.0*x²*y³-5.0*x⁴*y+ys;
			x = xnew;
			y = ynew;
		} while ((k ≤ 255) && (x*x+y*y ≤ 16.0));
		PlotPixel(i, j, color);
	}
}

Six-Pronged Mandelbar Expanded Center with Pseudocode
The center of the Six-Pronged Mandelbar is expanded to reveal the prongs.

for (i = 0; i ≤ 1200; i++)
{
	for (j = 0; j ≤ 1200; j++)
	{
		x = 0.0;
		y = 0.0;
		xs = -1.5+(i / 400.0);
		ys = -1.5+(j / 400.0);
		k = 0;
		do
		{
			k = k+1;
			xnew =  x⁵-10.0*x³*y²+5.0*x*y⁴+xs;
			ynew = -y⁵+10.0*x²*y³-5.0*x⁴*y+ys;
	   		x = xnew;
			y = ynew;
		} while ((k ≤ 255) && (x*x+y*y ≤ 16.0));
		PlotPixel(i, j, color);
	}
}

Six-Pronged Mandelbar Snowflake with Pseudocode
To obtain this figure, pixels are plotted at iteration count increment.

for (i = 0; i ≤ 1200; i++)
{
	oldk = 0;
	for (j = 0; j ≤ 1200; j++)
	{
		x = 0.0;
		y = 0.0;
		xs = -1.5+(i / 400.0);
		ys = -1.5+(j / 400.0);
		k = 0;
		do
		{
			k = k+1;
			xnew =  x⁵-10.0*x³*y²+5.0*x*y⁴+xs;
			ynew = -y⁵+10.0*x²*y³-5.0*x⁴*y+ys;
			x = xnew;
			y = ynew;
		} while ((k ≤ 255) && (x*x+y*y ≤ 16.0));
		if ((oldk != k) && (k > 3) && (oldk > 3)) PlotPixel(i, j, color);
		oldk = k;
	}
}