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The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve mathematical equations up to the third order. [1]
Origami is the process of making a paper model by folding a single piece of paper without using glue or cutting while the variation kirigami does. Card modeling is making scale models from sheets of cardstock on which the parts were printed, usually in full color. These pieces would be cut out, folded, scored, and glued together.
The paper is folded behind itself, this is normally done by turning the paper over, folding a valley fold and then turning the paper back over again. A thin line shows where a previous fold has creased the paper. A dotted line shows a previous fold that's hidden behind other paper, or sometimes shows a fold that's not yet made.
Strip folding is a combination of paper folding and paper weaving. [30] A common example of strip folding is called the Lucky Star, also called Chinese lucky star, dream star, wishing star, or simply origami star. Another common fold is the Moravian star which is made by strip folding in a 3-dimensional design to include 16 spikes. [30]
Complex origami models normally require thin, strong paper or tissue foil for successful folding. These lightweight materials allow for more layers before the model becomes impractically thick. Modern origami has broken free from the traditional linear construction techniques of the past, and models are now frequently wet-folded or constructed ...
A simple folded paper plane Folding instructions for a traditional paper dart. A paper plane (also known as a paper airplane or paper dart in American English, or paper aeroplane in British English) is a toy aircraft, usually a glider, made out of a single folded sheet of paper or paperboard.
There are several different styles of origamic architecture. In one style, a folded paper is cut in such a way that when the paper is opened to form a 90-degree angle, a three-dimensional image can be created, similar to most pop-up books. [7] A second style requires attaching a cut-out form to a base sheet of paper with thread.
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.