Search results
Results from the WOW.Com Content Network
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.
Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. [1] The same result was also discovered by Jacques Justin [2] and, even earlier, by S ...
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 ...
Origami cranes The folding of an Origami crane A group of Japanese schoolchildren dedicate their contribution of Thousand origami cranes at the Sadako Sasaki memorial in Hiroshima. Origami ( 折り紙 , Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami] , from ori meaning "folding", and kami meaning "paper" ( kami changes to gami due to ...
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.
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 ...
The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.
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 ...