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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.
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Tessellated designs often appear on textiles, whether woven, stitched in, or printed. Tessellation patterns have been used to design interlocking motifs of patch shapes in quilts. [75] [76] Tessellations are also a main genre in origami (paper folding), where pleats are used to connect molecules, such as twist folds, together in a repeating ...
Kevin’s outing cost him $19.83 for milk, bread, toilet paper, laundry detergent, dryer sheets, cling wrap, macaroni-and-cheese, a turkey TV dinner, orange juice, and a bag of plastic Army men.
Macro photography of a natural snowflake. A snowflake is a single ice crystal that is large enough to fall through the Earth's atmosphere as snow. [1] [2] [3] Snow appears white in color despite being made of clear ice. This is because the many small crystal facets of the snowflakes scatter the sunlight between them. [4]
The symmetry group of a snowflake is D 6, a dihedral symmetry, the same as for a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, [1] [2] which includes rotations and reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory ...
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