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The origami crane diagram, using the Yoshizawa–Randlett system. The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models.
An example of various paper snowflake designs. A paper snowflake is a type of paper craft based on a snowflake that combines origami with papercutting. The designs can vary significantly after doing mandatory folding. [1] An online version of the craft is known as "Make-A-Flake", and was created by Barkley Inc. in 2008. [2]
Make paper snowflakes for the holidays! With our simple DIY tutorial, you will learn how to make two different types of snowflakes, both beginner friendly.
The first Japanese origami is dated from the 6th century A.D. [6] In much of the West, the term origami is used synonymously with paper folding, though the term properly only refers to the art of paper folding in Japan. [5] Other forms of paper folding include Chinese zhezhi (摺紙), Korean jong'i jeopgi (종이접기), and Western paper ...
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.
Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
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 collections of such shapes (i.e. the regions need not be connected ).
The Miura fold is related to the Kresling fold, the Yoshimura fold and the Hexagonal fold, and can be framed as a generalization of these folds. [ 3 ] The Miura fold is a form of rigid origami , meaning that the fold can be carried out by a continuous motion in which, at each step, each parallelogram is completely flat.