## 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra

**6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Fall 2012, MIT OCW)**. Instructor: Professor Erik Demaine. This course focuses on the algorithms for analyzing and designing geometric foldings.
Topics include reconfiguration of foldable structures, linkages made from one-dimensional rods connected by hinges, folding two-dimensional paper (origami), and unfolding and folding three-dimensional polyhedra.
Applications to architecture, robotics, manufacturing, and biology are also covered in this course.
(from **ocw.mit.edu**)

Lecture 03 - Single-Vertex Crease Patterns |

This lecture explores the local behavior of a crease pattern and characterizing flat-foldability of single-vertex crease patterns. Kawasaki's theorem and Maekawa's theorem are presented as well as the tree method with Robert Lang's TreeMaker.

Class 03 - Single-Vertex Crease Patterns |

This lecture reviews algorithms for testing flat-foldability for a 1D MV pattern and for single-vertex MV pattern. An exercise walks through determining local flat-foldability, and questions cover higher dimensions and motivations for flat-foldability.

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