The Burning Ship Fractal

The Burning Ship Fractal is a slight variant on the Mandelbrot Set Fractal.

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.

Burning Ship Fractal

Zooming in to the right antenna part of the fractal shows why it was named the Burning Ship.

Burning Ship Fractal

The next 3 images change the exponent 2 in z=abs(z)^2+c to 3, 4 and 5.

Burning Ship Fractal

Burning Ship Fractal

Burning Ship Fractal

The same power 2 through power 5 Burning Ships but this time using Triangle Inequality Average (TIA) coloring

Burning Ship Fractal

Burning Ship Fractal

Burning Ship Fractal

Burning Ship Fractal

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.

Jason.

2 responses to “The Burning Ship Fractal

  1. Pingback: Unpopular Opinion: math is awesome and only hated because of bad teachers - Your Cheer

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