Helge von Koch, Karl Menger, and the concept of recursive loops share deep connections through their contributions to fractal geometry. Koch, best known for the Koch Snowflake, introduced a way to create complex shapes through repeated, recursive processes.
This figure exemplifies how a simple geometric transformation can recursively generate infinitely intricate boundaries, illustrating the early ideas of fractals. Menger, inspired by similar principles, developed the Menger Sponge, a three-dimensional fractal that recursively subdivides a cube into smaller cubes. These mathematicians' work underlines the fundamental principle of recursive loops: using repeated application of a simple rule to generate complex structures, which is a cornerstone in the study of fractal geometry.
Nudel has been constructing models using ChatGPT to write Python code and the Trimesh module. Recent experiments have focussed on fractal constructions after Koch and Menger
Images by Nudel
Image by Hyungsoo Kim : https://www.grasshopper3d.com/profile/HyungsooKim