The Hilbert curve is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891. I believe that we can gain understanding by looking at an object – in this case the Hilbert curve – from different perspectives, so here are different perspectives and versions I experimented with at ICERM: computer generated curves, paper versions, wooden tiles, laser cut wooden curves, and a Hilbert curve mirror labyrinth.
I want to thank Edmund Harriss, Judy Holdener, Laura Taalman, and Carolyn Yackel for inspiration and assistance while making these pieces. Judy provided the mirrors, Laura, Carolyn, and Edmund were the expert laser cutters, and Edmund took most of the above pictures.
Michael Bader, An Introduction with Applications in Scientific Computing, Springer-Verlag Berlin Heidelberg, 2013.