![]() For instance, in Figure 1, above, each unit represents one edge of an icosahedron, as marked by the red lines. Icosahedron-thirty edges, twenty faces, twelve vertices.Īpplying polyhedra in the assembly processĮach origami unit will represent an edge, face, or vertex of a polyhedron usually an edge. Octahedron-twelve edges, eight faces, six vertices.ĭodecahedron-thirty edges, twelve faces, twenty vertices. Hexahedron/cube-twelve edges, six faces, eight vertices. Tetrahedron-six edges, four faces, four vertices. The Platonic Solids are the five basic regular convex polyhedra comprising a single type of regular polygon faces. THERE ARE MANY different polyhedra in geometry, but for the purposes of this book, I have only included images of the Platonic Solids. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf! A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. Each piece of paper is held by the tension of the other papers-demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong! Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins-to ornate flower-like spheres. Think you can do it? Thomas Hull has made the instructions available for free on his website.Modular origami is the latest craze in paper folding! These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. The beauty of the model is that the entire thing is held together on its own - NO TAPE or glue is needed if you fold (and assemble) the model carefully! (Note: don't try to make the full tetrahedra and then weave it in - you have to weave each individual edge and then connect the corners within the model - I found it easier to "balance" the model on an open cup when trying to weave the first three tetrahedrons together.)Īfter weaving the first three together, the worst of the model is over! If you've done it correctly, there's basically only one way to weave the final two tetrahedra models in. Then weave a third tetrahedron into the model. Then, weave a second tetrahedron into the model. First, form a tetrahedron (a pyramid with a triangular base). The first step is to cut each of the squares into thirds and then fold a model known as Francis Ow's 60 degree unit.Īfter folding all 30 units, it's time to begin the construction process. I started with 10 sheets of origami paper (10x10). With that, I decided to fold the model again. However, I'm a bit of a perfectionist when it comes to my models, so I wasn't entirely happy with the results. Within the book, Hull provides instructions for one of his most famous models - the Five Intersecting Tetrahedra.Ī year ago, I folded the Five Intersecting Tetrahedra with decent results. ![]() ![]() Hull's book is full of origami and mathematical projects, spanning a variety of mathematical topics including geometry, calculus, graph theory, etc. One of the books that I bought a year and half ago has proven to be a great classroom reference: Project Origami: Activities for Exploring Mathematics by Thomas Hull. You probably also know that I'm a math professor - what you may not know is that math and origami are tightly linked. ![]() As you know, one of my other hobbies is origami (see my first post if you missed it). ![]()
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