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Fold-and-cut theorem. Creating a Koch snowflake curve by the fold-and-cut method. The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [1] Such shapes include polygons, which may be concave, shapes with holes, and ...
Strip folding is a combination of paper folding and paper weaving. [29] 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 3-dimensional design to include 16 spikes. [29]
The fold-and-cut problem asks what shapes can be obtained by folding a piece of paper flat, and making a single straight complete cut. The solution, known as the fold-and-cut theorem, states that any shape with straight sides can be obtained. A practical problem is how to fold a map so that it may be manipulated with minimal effort or movements.
Kirigami. Kirigami (切り紙) is a variation of origami, the Japanese art of folding paper. In kirigami, the paper is cut as well as being folded, resulting in a three-dimensional design that stands away from the page. Kirigami typically does not use glue.
Paper craft. Paper craft is a collection of crafts using paper or card as the primary artistic medium for the creation of two or three-dimensional objects. Paper and card stock lend themselves to a wide range of techniques and can be folded, curved, bent, cut, glued, molded, stitched, or layered. [ 1 ] Papermaking by hand is also a paper craft.
Chinese paper cuttings (2014) Papercutting or paper cutting is the art of paper designs. Art has evolved all over the world to adapt to different cultural styles. One traditional distinction most styles share is that the designs are cut from a single sheet of paper as opposed to multiple adjoining sheets as in collage.
The regular paperfolding sequence corresponds to folding a strip of paper consistently in the same direction. If we allow the direction of the fold to vary at each step we obtain a more general class of sequences. Given a binary sequence (f i), we can define a general paperfolding sequence with folding instructions (f i).
The folding of two origami cranes linked together from the first known technical book on origami Hiden senbazuru orikata by Akisato Rito, published in Japan in 1798. The history of origami followed after the invention of paper and was a result of paper's use in society. In the detailed Japanese classification, origami is divided into stylized ...
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