Menger Sponge

For those who doesn’t know what is a fractal, I’m dropping a wikipedia bomb on you!

A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern. An example of this is the Menger Sponge. Fractals can also be nearly the same at different levels. This latter pattern is illustrated in the magnifications of the Mandelbrot set. Fractals also include the idea of a detailed pattern that repeats itself.

Basically a fractal is a geometrical shape or body wich repeats itself into infinity. outwards or inwards.

One of my favorite examples of a fractal is the Sierpinski’s Triangle, or as I like to call it, The Hyrule’s Fractal:

This build contains a menger sponge, the 3-D proyejction of the Sierpinski’s carpet (the square form of the triangle above).

Each step in a fractal is called ‘iteration’.

This map contains the menger sponge in it’s fifth iteration. I stopped there because height limitations of the game.

The heigth limit is 256 blocks, and this measues 243x243x243 blocks.

it contains 3,200,000 sponge blocks

I also included a nice spawn platform.