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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 ).
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]
The book achieved enough success that the word kirigami was accepted as the Western name for the art of paper cutting. [1] Typically, kirigami starts with a folded base, which is then unfolded; cuts are then opened and flattened to make the finished design. Simple kirigami are usually symmetrical, such as snowflakes, pentagrams, or orchid blossoms.
Origamic architecture is a form of kirigami that involves the three-dimensional reproduction of architecture and monuments, on various scales, using cut-out and folded paper, usually thin paperboard. Visually, these creations are comparable to intricate 'pop-ups', indeed, some works are deliberately engineered to possess 'pop-up'-like properties.
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.
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.
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[28] [29] Snowflakes are also traditionally associated with the "White Christmas" weather that often occurs during Christmastide. [29] During this period, it is quite popular to make paper snowflakes by folding a piece of paper several times, cutting out a pattern with scissors and then unfolding it.
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