The geometry of origami: How to fold and cut complex shapes

Class 8: Fold & One Cut · 49:59 · Video: MIT OpenCourseWare · Watch at the source

In short: This lecture from MIT's Geometric Folding Algorithms course explores the mathematical logic behind

The video demonstrates specialized software designed to execute 'fold and cut' operations, a process where a single cut through a folded sheet of paper creates multiple complex shapes simultaneously. It provides a technical foundation for understanding how geometry governs physical folding.

The presentation covers specific algorithmic approaches, including the skeleton method versus the tree method, and addresses the constraints of odd-degree vertices. It also clarifies the disk-packing method, specifically defining the number of disks involved in these geometric transformations.

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