The basic Mandelbrot Fractal formula is z=z^2+c. The Burning Ship Fractal formula is z=abs(z)^2+c.
The following image is the standard power 2 Burning Ship Fractal rendered using CPM smooth coloring.
Zooming in to the right antenna part of the fractal shows why it was named the Burning Ship.
The next 3 images change the exponent 2 in z=abs(z)^2+c to 3, 4 and 5.
The same power 2 through power 5 Burning Ships but this time using Triangle Inequality Average (TIA) coloring
The next 4K resolution movie shows a series of zooms into Burning Ship Fractals between power 2 and power 5 colored using CPM coloring
and finally another 4K movie showing more Burning Ship zooms colored using TIA coloring
All of the above images and movies were created with Visions of Chaos.