In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpiński cube, or Sierpiński sponge) [1][2][3] is a fractal curve. It is a three-dimensional …

The Menger sponge is a fractal which is the three-dimensional analog of the Sierpiński carpet.

Nov 26, 2024 · Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal called the Menger sponge. The Menger sponge can be constructed by …

After some nine years of effort, involving several hundred folders around the country, the Business Card Menger Sponge was completed. In June 2005 it was exhibited at the Origami USA annual …

Oct 27, 2025 · We’ll walk through everything, from the basic paper-folding method that anyone can try, to creating a stunning 3D printed Menger sponge. We’ll also touch on the beautiful mathematics that …

In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) [1] [2] [3] is a fractal curve. It is a three-dimensional …

The Menger sponge (also called Sierpinski cube) is a classic example of a three-dimensional fractal, constructed by recursively removing smaller cubes from a larger cube in a systematic manner.

My favorite is a stage-6 Menger Sponge. To convince yourself that it is a stage-6, count the number of different sizes of openings: you should find six. This can be a challenge.

The computational energy required to render this sponge increases rapidly with each iteration. The Menger sponge is the result of this process after an infinite set of iterations.

The Menger sponge (or Sierpinski sponge) is a three-dimensional fractal generated beginning with a cube; at each stage, punch a square hole in the middle ninth of each face through to the other side.