Welcome to the mysterious realm of polyhedra in origami. Join origami master John Montroll as he takes you on an exploration into the secrets of folding these beautiful shapes, using only a single square sheet of paper for each. Using remarkably innovative techniques, you can create your own seemingly impossible polyhedra. This revised edition includes four new models and more efficient folding procedures for several of the other designs. In this collection of 31 polyhedra, you will learn to fold the five Platonic solids—the tetrahedron, cube, octahedron, icosahedron, and dodecahedron—and their sunken versions. Other polyhedra included are the pentagonal trapezohedron, hexagonal prism, heptagonal dipyramid, dimpled octahedron, and rhombic dodecahedron. Beginner and expert alike will find many exciting projects by following the step-by-step instructions.