Create a menger sponge fractal with cinema 4D

A Menger Sponge is a fascinating three-dimensional fractal. It’s a geometric structure that displays infinite complexity, despite starting from a simple cube. The process to create it begins by dividing a cube into 27 smaller cubes, similar to a Rubik’s Cube. Then, the central cube and the six cubes in the middle of each face are removed. This step is repeated indefinitely with the remaining smaller cubes.

What makes the Menger Sponge so intriguing is that, as the iterations continue, its volume approaches zero, while its surface area becomes infinite! This makes it an incredible example of mathematical beauty and fractal geometry. Beyond math, the Menger Sponge is also admired in fields like computer science, architecture, and even art for its mind-boggling properties. It’s a true symbol of the infinite hiding within the finite.