The Burning Ship fractal is actually a slight modification to the Mandelbrot Set
(It's the last one, I promise! For now, that is...) by taking the absolute value of both the real and imaginary parts of the complex number
z before squaring it in each iteration.
Thus, the equation is as follows:
Now, while this may seem like a small change to the equation, the change to the fractal itself is anything but.
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| Just look at this beauty |
Zooming in on the bottom left corner of the fractal reveals yet another burning ship, this time looking slightly different.
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| A whole fleet of burning ships arrive |
Here's a closer look at one of the ships:
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| An interesting structure, no? |
Finally, zooming into the "towers" reveals a beautiful and fascinating architecture.
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| Isn't this beautiful? It almost looks man-made! |
It's fascinating how such small changes to a simple equation can create such large changes in the shape of a fractal. From the standard Mandelbrot Set to the Burning Ship, fractal geometry is indeed a branch of mathematics worth looking into, if not just for the simple beauty of it all.
The link to the simulation can be found
here. Do enjoy!
