Hilbert Space Filling Curve by leisink

Last crawled date: 2 years, 12 months ago

The Hilbert Curve is a space filling fractal curve. It is a recursive process that eventually fills the entire space using one continuous line. See https://en.wikipedia.org/wiki/Hilbert_curve for more information.
This thing holds the STL-files for the first four recursion levels. Although normally the outer space of the cube is held constant, I decided to keep the length of the line fragments constant such that it can be well printed at all level. One could manually resize the figure if one wishes.
There had to be made some concessions to the design to give it enough stability. In particular there are several small vertical support lines and a few horizontal. Otherwise the figure cannot be printed or would soon collapse.
Level 1: 7 line fragments, 12x12x12mm
Level 2: 63 line fragments, 28x28x28mm
Level 3: 511 line fragments, 60x60x60mm
Level 4: 4095 line fragments, 124x124x124mm
Note: The picture is created using POV-ray.