Hilbert Space Filling Curve

thingiverse

The Hilbert Curve is a space-filling fractal curve that expands through a recursive process, eventually filling the entire space with one continuous line. Check out https://en.wikipedia.org/wiki/Hilbert_curve for more details. This object contains STL-files for the first four levels of recursion. Normally, the outer cube remains constant in size, but I've kept the length of the line fragments consistent so it can be printed smoothly at every level. You can manually adjust the figure's dimensions if you prefer. Some design compromises were necessary to ensure stability. Specifically, several short vertical support lines and a few horizontal ones have been added. Without these, the figure wouldn't print properly or would collapse quickly. Recursion Levels: Level 1: 7 line fragments, measuring 12x12x12mm Level 2: 63 line fragments, measuring 28x28x28mm Level 3: 511 line fragments, measuring 60x60x60mm Level 4: 4095 line fragments, measuring 124x124x124mm Note: This picture was created using POV-ray. Print Settings: Rafts: Doesn't Matter Supports: No