Geometric Origami by Faye E Goldman
Description
Geometric Origami is a sophisticated origami kit for advanced origami artists.
Shape up with this mind-blowing origami set that includes patterns inspired by the exquisite artwork of Heinz Strobl's Snapology Project. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don't worry—there are even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises.
- Gain a whole new perspective on geometry and the world of origami.
- Great fun for the entire family—or for your local geometry professor.
Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.
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About the author
Faye Goldman has been doing origami for over 50 years. She was attracted to origami by its ability to demonstrate mathematical concepts and be beautiful at the same time. Her love of mathematics and geometric constructions is mirrored in her modular forms. Heinz Strobl, the creator of Snapology, the technique of folding used in this book, has labeled her "the ambassador of Snapology." She has taught Snapology around the world. Exhibits of her work have been made in Singapore at OSME^5 (Origami in Science, Math and Education), and at the national conventions of Centerfold, PCOC, and OrigamiUSA. She lives outside of Philadelphia and is the leader of the Greater Philadelphia Paper Pholders, a regional group of folders dedicated to sharing their love of Origami.
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Geometric Origami - Faye Goldman
INTRODUCTION
This book contains a collection of geometric origami models made from folding strips of paper using a special technique developed by Heinz Strobl. Known as Snapology
(you'll understand why later), the technique employs the two most basic folds in origami—the valley fold (fold up to make a V-shape) and the mountain fold (fold behind to make a upside-down V-shape)—to build fantastic 3D models of great beauty and durability. This means that nearly every model in this book is accessible to beginning-level folders.
This is not to say that the building of these models is easy and that patience and practice isn't required. These models are challenging, and they will require perseverence. But they are extremely rewarding and quick to build.
Most of these models have geometric polyhedra at their core—quite literally! If you recall from your high school geometry class, polyhedra (singular: polyhedron) are three-dimensional figures with many sides. Each of the models in this book is made of prisms—small triangles, squares, hexagons, etc.—that protrude from an underlying structure. Strip away the protrusions and you'll find a tetrahedron (pyramid), a cube (hexahedron), or another such shape—polyhedra that are, to my mind, as beautiful in their own right as the paper-strip models are.
You'll learn how to make paper-strip models based on the Platonic solids—polyhedra made of only one shape (named for the philosopher Plato), as well as the Archimedean solids—polyhedra made of two or more shapes (and named for the Greek mathematician, Archimedes). It is this connection to geometry that originally drew me to this particular type of paper folding. My background is in math and chemistry and I love making things.
BUILDING MODELS WITH PAPER STRIPS
There are two types of strips used to make these models:
• Scaffold (scaffolding) strips make up the underlying structure. They are made in the shapes of the polygons that make up the model. The length of the strips is always twice the number of sides in the polygon. To make scaffolds for triangles, for instance, use strips that are 1 × 6 because the strip is wrapped around itself twice. How long should strips for squares be? If you said 1 × 8 (two squares for each of four sides), you would be correct.
• Hinge strips connect the scaffolds. Hinges are what is most visible in the finished model. They come in two basic sizes: 1 × 4 and 1 × 6. If you are building something with a lot of prisms that are pretty tightly packed, a 1 × 4 hinge is fine. But if there aren't a lot of prisms, or if the angles between the prisms are pretty wide (90° or larger), you need a little extra length to tuck under layers so the ends stay put. 1 × 6 strips are best in that case, but they can be a little tricky to connect. As an alternative, you can make all hinge strips
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