Techniques for Artistically Rendering Space-Filling Curves

L. Kerry Mitchell
Bridges: Mathematical Connections in Art, Music, and Science (2002)
Pages 277–283


Space-filling fractal curves are discussed, both classical and new. Techniques are discussed for rendering space-filling curves in an aesthetically pleasing fashion, in opposition to the traditional manner of black lines on white backgrounds. These techniques use color, line weight, and curved shapes, and can be applied to a wide variety of space-filling curves.