This newly revised and enlarged book offers paperfolders, model builders, and math students alike a stimulating journey into the world of three-dimensional geometric origami. Step-by-step instructions and clearly detailed diagrams explain how to create more than 35 different modular polyhedra. The modules, each made from a single piece of paper, have points and pockets, enabling origamists to build fascinating figures by inserting the tapered ends of each module into the pockets of the adjacent modules. Unavailable elsewhere, the models in this innovative book are diverse, ranging from relatively simple modular cube and stellated octahedron to more advanced two-piece modules, a gyroscope, and even a 14-sided cuboctahedron. Graded according to difficulty, these multifaceted marvels have a style and beauty all their own and will not only challenge devotees of the ancient Japanese art of paper folding, but will also prove useful in classroom demonstrations of geometric principles.