Gauss-Bonnet Sculpting
Edmund Harriss

Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture
Pages 137–144
Regular Papers

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.

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