The geometry of creases: understanding the mathematics of pleat folding
In short: This MIT lecture explores the complex relationship between creases and smoothness, utilizing Taylor expansion to prove key geometric principles. It also introduces algorithms to calculate the folding operations required for an MV string.
Part of the MIT 6.849 course on Geometric Folding Algorithms, this session examines how creases function within the context of smoothness. The lecture employs Taylor expansion to provide a rigorous proof regarding these geometric properties.
Beyond theoretical proofs, the session covers the mathematical complexity of folding by presenting algorithms to determine the number of operations needed for an MV string. The lesson concludes with a practical hypar folding exercise.
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Sources
- Summary by Intellect · source: Class 9: Pleat Folding
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