Geometric Folding Algorithms

Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding, and polyhedral nets, by Erik Demaine and Joseph O'Rourke.

[1][2][3][4] A Japanese-language translation by Ryuhei Uehara was published in 2009 by the Modern Science Company (ISBN 978-4-7649-0377-7).

[5] Although aimed at computer science and mathematics students,[3][4] much of the book is accessible to a broader audience of mathematically-sophisticated readers with some background in high-school level geometry.

[4] This part of the book also includes applications to motion planning for robotic arms, and to protein folding.

[4] The book concludes with a more speculative chapter on higher-dimensional generalizations of the problems it discusses.