Menger Sponge 3D model

3D max model of a Menger Sponge, an Infinite fractal cube.

5 iterations of fractal cubes, with texture maps to take the illusion to 10 iterations.

A nice 3d max scene for renders, and 5 cube iterations options for 3d printing. Can be used as building blocks, by 3D printing the lower iterations, and constructing a large 3D printed Menger sponge.

Even though the highest iteration mesh has 13mil polygons, it is at an optimal number. Clean closed mesh topology.

From Wikipedia, the free encyclopediaAn illustration of M4, the sponge after four iterations of the construction processIn mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension.