Mathematical Art (Fractal Art): Moore Curve Lamp

thingiverse

A lamp with a space-filling Moore curve design that's sure to turn heads: the Moore curve is a mathematical concept that originates from a Wikipedia page - check it out! The inspiration behind this unique piece came from Markellov's Maze Lamp design on Thingiverse, but I took it a step further by applying the L-algorithm for generating fractals to create the intricate Moore curve pattern. I stopped at the 5th iteration and used only half of the curve in my design, which adds an extra layer of complexity and visual interest. However, printing this beauty comes with its own set of challenges - specifically, a large part of the curve doesn't connect properly, resulting in some unsupported areas after the print is complete. To fix this issue, I use a simple yet effective trick: gluing the pattern design onto a sheet of paper inside the lamp to stabilize it. This clever hack ensures that the entire structure remains intact and stable, as seen in the photos where the red sheet of paper has been discreetly inserted with a cut-out heart shape.