Reading 1: Overview of DDG
Your first reading assignment will be to read an overview article on Discrete Differential Geometry. Since we know we have a diverse mix of participants in the class, you have several options (pick one):
- (pages 1–3) Crane & Wardetzky, A Glimpse into Discrete Differential Geometry. This article discusses the “no free lunch” story about curvature we looked at in class, plus a broader overview of the field.
- (pages 1–5) Pottman et al, Architectural Geometry. This article discusses the beautiful tale of how discrete differential geometry is linked to modern approaches to computational design for architecture, as well as fabrication and "rationalization" of free-form designs.
- (pages 5–9) Bobenko & Suris, Discrete Differential Geometry: Consistency As Integrability. This article provides another overview of discrete differential geometry, with an emphasis on nets and their connection to the notion of integrability in geometry and physics.