This work discusses a tiling system used to create unicursal curves (drawn in a singular continuous motion), similar to those studied for their beauty, cultural importance, and mathematical content. The tile types and their designs are discussed, along with the analysis of unicursality. Methods for creating large images are presented, allowing the artist to exploit the power of digital computers and mitigate the limitations of drawing by hand. Several art images using this technique are included. While most of this work is done with square tiles, extensions to other tile shapes are considered.