Origami Polyhedra Design - John Montroll
64 Geometric Models from a Single Square
Explore the remarkable connection between geometry and origami with this unique collection of 64 polyhedral designs, each folded from a single square sheet of paper with no cuts and no glue. Combining mathematical precision with elegant paper folding, this book reveals how complex geometric forms can emerge from a simple square. Written by American Origami Master John Montroll.
Every model has been carefully designed to create the largest possible polyhedron from the starting sheet size, featuring ingenious locking mechanisms that securely hold the finished shape. The book covers all five Platonic solids – the cube, tetrahedron, octahedron, icosahedron and dodecahedron – alongside numerous creative variations incorporating striking colour patterns and sunken-sided forms.
Also included are Dipyramids and Dimpled Dipyramids, geometric structures that had received little attention in origami before these innovative designs. Each model offers an enjoyable folding sequence, distinctive appearance and a foundation in unique mathematical principles.
Features
- 64 original polyhedral origami models
- Folded from a single square sheet of paper
- No cuts, no glue, no assembly required
- Includes all five Platonic solids
- Features Dipyramids and Dimpled Dipyramids
- Ingenious locking mechanisms for stable finished models
- Based on fascinating geometric and mathematical concepts
- Clear diagrams and folding instructions throughout
- 288 pages
Perfect For
- Origami enthusiasts
- Geometry and mathematics lovers
- STEM educators and students
- Paper craft hobbyists
- Designers, architects and engineers
- Anyone interested in mathematical art
Discover the beauty of geometric paper folding and learn how mathematics, symmetry and creativity combine to create stunning three-dimensional origami polyhedra.