6.849: Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Fall 2012)
[Problem Session Notes]
Single-vertex crease patterns: Linear-time algorithm,
local foldability examples, T-shirt folding, higher dimensions,
why flat foldability?
This class addresses these questions/comments about Lecture 3 (and Lecture 2):
- How can we quickly determine whether a single-vertex mountain-valley pattern is flat foldable? We'll also cover the algorithm for 1D flat folding that we didn't have time to cover in Class 2.
- Examples of how the local foldability algorithm works.
- T-shirt folding (for fun)
- Higher-dimensional flat folding (what little is known)
- Why do we study flat foldability? Art (e.g. tessellations), practicality (compactness e.g. airbags), and mathematics (e.g. rigid foldability).
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