# Hilbert and Moore 3D Fractal Curves

Hilbert and Moore 3D Fractal Curves

The Hilbert curve and the Moore curve are two famous plane-filling curves that can be extended to 3D space-filling curves. They have similar recursive constructions, here using L-systems. The curves shown in this Demonstration map points in three-dimensional space to points on a one-dimensional line, and thus have properties that make them useful for certain types of data manipulation, such as image processing.