The "secrets" Lang uncovered are not limited to art; they are used in engineering to design . This includes:
showcase how to use circle packing for realistic proportions. editions and Accessibility Origami Design Secrets
: Designers first draw a stick figure of their subject and then use mathematical rules to determine how to fit the required circles (appendages) onto the paper without overlapping. 2. Primary Design Techniques
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: Used for more complex subjects where circles represent the ends of appendages and "rivers" (rectangular strips) represent the body segments between them.
For the uninitiated, the title sounds like an oxymoron. Secrets? Mathematics? Isn’t origami just about following diagrams? Lang’s 700+ page masterpiece shatters that illusion. It is not merely a book of instructions; it is a manifesto on how to think like a master folder.
The design process involves calculating angles, intersection points, and paper constraints. The "secrets" Lang uncovered are not limited to
If origami eventually becomes a standard discipline in university mathematics or mechanical engineering departments, Origami Design Secrets will be the foundational textbook. It sits on the shelf as the Principia Mathematica of paper.
This method ensures that complex, multi-limbed, and realistic animals can be folded from a single sheet of paper without tearing. B. Fundamental Building Blocks
This is one of the earliest and most robust algorithms for origami design. Imagine you want to fold a lizard. You would sketch a "tree" diagram where each branch (leg, tail, head) has a specific length and position. On your square of paper, you would then map these needs by drawing non-overlapping circles on the paper; the center of each circle represents the tip of a flap, and its radius corresponds to the flap's length. The "rivers" are the spaces between these circles that become the main body. This method provides a systematic framework to determine the necessary crease pattern. If you share with third parties, their policies apply
Robert Lang’s book, Origami Design Secrets: Mathematical Methods for an Ancient Art
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The efficient arrangement of circles on a square where each circle represents a flap; this ensures paper is not wasted, preventing complex models from becoming too bulky.
Every flap requires a specific amount of paper surrounding its tip.