Filling In: Livecoding musical, physical 3D printing tool paths using space filling curves

This paper explores how space-filling curves such as Hilbert Curves can be used for live, improvisational making in livecoding performances because of the predictable ways in which they fill up space without crossing over themselves. It explores current research into 2D space filling algorithms known as infills and how these relate to live, improvisational making. A livecoding system for 3D printers called LivePrinter is introduced and used to demonstrate different aspects of live performance with printers. These examples suggest some practical methods for working with Hilbert curves in a performance setting based, along with avenues for further research into livecoding performances using space-filling curves.