Hilbert curve

thingiverse

The Hilbert curve is part of a larger family known as Space filling curves or SFC for short. This concept was first introduced by German mathematician David Hilbert in 1891. With this design, Hilbert aimed to fill a two-dimensional space using only a one-dimensional line by increasing the degree infinitely. The objective behind this project is to take a finite degree and expand it into three dimensions. By doing so, you can create visually appealing three-dimensional prints with desirable mechanical properties. I successfully produced the parts on a budget-friendly 3D printer, proving that even low-cost equipment can yield impressive results. The printed components range from degree 3 to 5.