Origami Polyhedra Design

This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

John Montroll, St. Anselm’s Abbey School, Washington, D.C., USA

Part I: Designing Origami Polyhedra Polyhedra Overview Design Factors and Techniques Math and Design Design Method Examples Polygons Equilateral Triangle Pentagon Hexagon Heptagon Octagon Silver Rectangle Bronze Rectangle Golden Rectangle Part II: Platonic and Related Polyhedra Tetrahedron Design Tetrahedron Duo-Colored Tetrahedron Striped Tetrahedron Tetrahedron of Triangles Stellated Tetrahedron Dimpled Truncated Tetrahedron Cube Design Cube Striped Cube Triangles on Cube Cube with Squares Stellated Octahedron Cubehemioctahedron Dimpled Rhombicuboctahedron Stacked Cubes Octahedron Design Octahedron Striped Octahedron Duo-Colored Octahedron Stellated Cube Octahemioctahedron Dimpled Truncated Octahedron More Platonic Solids Design Icosahedron Dodecahedron Sunken Platonic Solids Design Sunken Octahedron Sunken Tetrahedron Sunken Cube Sunken Dodecahedron Sunken Icosahedron Part III: Dipyramids and Dimpled Dipyramids Dipyramid Design Triangular Dipyramid 90°Triangular Dipyramid Triangular Dipyramid in a Sphere Tall Triangular Dipyramid Tall Square Dipyramid Silver Square Dipyramid Squat Silver Square Diamond Pentagonal Dipyramid Pentagonal Dipyramid 45° Pentagonal Dipyramid in a Sphere Golden Pentagonal Dipyramid Squat Golden Pentagonal Dipyramid Hexagonal Dipyramid Silver Hexagonal Dipyramid Hexagonal Dipyramid 36° Hexagonal Dipyramid in a Sphere Squat Silver Hexagonal Dipyramid Heptagonal Dipyramid Heptagonal Dipyramid 30° Heptagonal Dipyramid in a Sphere Octagonal Dipyramid Octagonal Dipyramid 26° Octagonal Dipyramid in a Sphere Nonagonal Dipyramid Decagonal Dipyramid Dimpled Dipyramid Design Tall Dimpled Square Dipyramid Dimpled Silver Square Dipyramid Heptahedron Dimpled Squat Square Dipyramid Tall Dimpled Hexagonal Dipyramid Dimpled Silver Hexagonal Dipyramid Dimpled Hexagonal Dypyramid Dimpled Hexagonal Dipyramid in a Sphere Octagonal Flying Saucer Dimpled Octagonal Dipyramid in a Sphere Dimpled Octagonal Dipyramid Dimpled Silver Octagonal Dipyramid