Abstract
The Gauss-Bonnet theorem is a powerful result central to much of modern mathematics. At its heart, it gives the
relationship between the curvature of a surface and the amount you turn as you travel around the surface’s boundary.
This can be used to create a system for sculpture where loops are controlled in order to give the surface form. Starting
with paper strips, moving through Curvahedra to a metal sculpture, we explore the creative power of this theorem.
