Origami Design Secrets Robert Lang -

By arranging these circles efficiently on the square, designers create a geometric layout. Lang translated this mathematical concept into , a powerful software program that calculates these circle arrangements and generates a workable crease pattern automatically. 3. Axial and Box Pleating

Lang detailes several revolutionary techniques that bridged the gap between a simple paper bird and hyper-realistic insects with dozens of legs and antennae: Go to product viewer dialog for this item.

Robert Lang's origami design secrets offer a fascinating glimpse into the world of paper folding. By combining mathematical principles with artistic vision, Lang has created a body of work that is both beautiful and inspiring. Whether you're an experienced origami artist or just starting out, Lang's designs and techniques offer a wealth of inspiration and guidance. So why not try your hand at origami, and see where the art and science of paper folding take you?

: For complex subjects (like insects with many legs), the design is mathematically laid out on paper before the first fold is even made. Key Technical Concepts origami design secrets robert lang

The most revolutionary concept in the book is the method of "circle packing." Lang explains that if you want to create a specific subject, you can map its anatomy as a stick figure, known as a "tree." Each stick or branch represents a flap of paper (a leg, a wing, an antenna).

"Origami Design Secrets" by Robert Lang is a masterpiece that has elevated the art of origami to new heights. The book's unique blend of mathematical rigor, design principles, and creative inspiration has made it an essential resource for origami enthusiasts, artists, and designers. Whether you're a seasoned origami artist or just starting out, this book is sure to inspire and guide you on your creative journey.

Origami, historically transmitted through cryptic diagrams and folding sequences, underwent a paradigm shift in the 1990s. Robert J. Lang, a physicist and origami master, synthesized isolated techniques into a coherent design science. Origami Design Secrets (hereafter ODS ) systematically presents the mathematics enabling a single uncut square to become a spider, a deer, or a 1,000‑scale cuckoo clock. By arranging these circles efficiently on the square,

Aligning the grid along a strict horizontal and vertical matrix. This method simplifies the math, making it highly popular for designing complex, multi-segmented subjects like insects and crustaceans. The Four Laws of Flat Foldability

The is highly recommended as it contains roughly 200 pages of new material, including box pleating and polygon packing. Robert J. Lang - Origami Design Secrets (2nd Edition) : Routledge : $104.99 $83.99 (currently 20% off) Barnes & Noble : $105.36 ThriftBooks : $104.99 (New) AbeBooks : $47.42 (Used - 1st Edition) VitalSource : $46.20 (eBook Rental) Artist Highlight- Robert J. Lang

The book codifies the relationship between a desired shape's features (arms, legs, wings) and the geometric patterns on a square of paper. Key concepts include: Axial and Box Pleating Lang detailes several revolutionary

At its core, almost any origami subject—whether a dragon, a scorpion, or a human figure—can be simplified into a stick figure called a . Each stick in the graph represents a part of the subject, such as a leg, a wing, or a tail. In the folded model, these sticks correspond to "flaps." Lang demonstrates that to create a specific flap of a certain length, a designer must allocate a specific, proportional region of the paper to it. 2. Circle Packing (Treemaker)

Not every crease pattern can be folded flat. Lang breaks down the fundamental mathematical theorems that govern whether a pattern will work, including: