Sierpinski / Menger Sponge

The Menger Sponge, also known as the Sierpinski Sponge, is an example of a fractal. It is created by dividing a cube into 27 smaller cubes, and removing the center cube and the middle cube on each face. In the image above, we see a plain cube and the first 3 iterations or levels of the fractal.

The Menger Sponge is a three-dimensional extension of the Sierpinski Carpet, which is a 2D shape created by removing the center square from a square divided into 9 parts.

This shape has a fractal dimension [Hausdorff dimension] of approximately 2.726833.

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