Peano curve

thingiverse

The Peano curve is akin to the previous Hilbert curve as part of the larger branch known as Space filling curves or SFC for short. The Peano curve was originally designed by Guiseppe Peano as the first SFC. Peano's concept involved allowing the limit of this curve to approach infinity, thereby filling a 2D space solely using a 1D line. I applied this idea and extruded the curve into 3D form. In the following folder, you will find examples ranging from degree one to four.