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The two main types of origami symbol are lines and arrows [2] — arrows show how origami paper is bent or moved, while lines show various types of edges: A thick line shows the edge of the paper; A dashed line shows a valley fold. The paper is folded in front of itself.
It includes the NP-completeness of testing flat foldability, [2] the problem of map folding (determining whether a pattern of mountain and valley folds forming a square grid can be folded flat), [2] [4] the work of Robert J. Lang using tree structures and circle packing to automate the design of origami folding patterns, [2] [4] the fold-and ...
Many modular origami models are decorative folding balls such as kusudama, which differ from classical origami in that the pieces may be held together using thread or glue. Chinese paper folding, a cousin of origami, includes a similar style called golden venture folding where large numbers of pieces are put together to create elaborate models ...
In the early 1980s, Professor Chatani began to experiment with cutting and folding paper to make unique and interesting pop-up cards. He used the techniques of origami (Japanese paper folding) and kirigami (Japanese papercutting), as well as his experience in architectural design, to create intricate patterns that played with light and shadow. [3]
Given two points p 1 and p 2 and a line l 1, there is a fold that places p 1 onto l 1 and passes through p 2. This axiom is equivalent to finding the intersection of a line with a circle, so it may have 0, 1, or 2 solutions. The line is defined by l 1, and the circle has its center at p 2, and a radius equal to the distance from p 2 to p 1. If ...
Wet-folding allows the paper to be manipulated more easily, resulting in finished origami models that have a rounder and more sculpted look. Wet-folding is most often used with thicker paper; normal origami paper is very thin and thus prone to tearing when using the wet-folding technique. [2] Yoshizawa believed the process was the most ...
Crease pattern for a swordsman. A crease pattern (commonly referred to as a CP) [1] is an origami diagram that consists of all or most of the creases in the final model, rendered into one image. This is useful for diagramming complex and super-complex models, where the model is often not simple enough to diagram efficiently.
Another resemblance that foldforming has is the paper fold technique known as "origami". The process of folding and unfolding a flat material is seen in both metal foldforming and papering folding origami. Many of the principles and issues that come with the folding and unfolding process can be seen in origami and foldforming. [7]