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Differential geometry: the building blocks of computer graphics

Theorems from pure differential geometry are the foundation on which a field as applied as computer graphics is built. We will look at an example of this from the lens of discrete differential geometry: a concept (curvature or developability of surfaces) will be introduced theoretically, motivated by its practical applications and then discretized for its manipulation in the form of computer code. We will see how, surprisingly, theoretically equivalent formulations lead to very different discrete behaviours, and analyze the benefits and drawbacks of each.