Hilbert Curves in Two Dimensions
The complete set of Hilbert curves in two dimensions is presented, comprising up to forty curves: 12 homogeneous and 28 inhomogeneous. The analytical expressions for all the homogeneous curves are derived, which are easily extendable to all forty curves. A tag system, that allows the construction of all curves, is also described.
This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license.