Geometric Folding Algorithms: Linkages, Origami, Polyhedra

Green paper folded along multiple curved creases to form curved fins of a sculpture.

This curved-crease sculpture, created for the opening of the National Museum of Mathematics, demonstrates the intersection of origami, design, and mathematics that is at the heart of this course. (Erik Demaine and Martin Demaine.)


MIT Course Number


As Taught In

Fall 2012



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Course Features

Course Description

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.


Thanks to videographers Martin Demaine and Jayson Lynch.

Demaine, Erik. 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012. (MIT OpenCourseWare: Massachusetts Institute of Technology), (Accessed). License: Creative Commons BY-NC-SA

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