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There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.In the net method, the faces of the polyhedron are placed to form an irregular shape on a flat sheet of paper, with some of these faces connected to each other within this shape; it is cut out and folded into the shape of the polyhedron, and the remaining pairs of faces are attached together.
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]
Paper quilling. Quilling is an art form that involves the use of strips of paper that are rolled, shaped, and glued together to create decorative designs. The paper shape is manipulated to create designs on their own or to decorate other objects, such as greetings cards, pictures, boxes, or to make jewelry.
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.
Quilting templates/patterns come in many varieties and are generally considered the basis of the structure of the quilt, like a blueprint for a house. Bias binding or bias tape can be made from strips of quilt fabric or purchased as quilt binding. It is used in the last stage of making a quilt, and is a method of covering the edges of the quilt.
DNA origami object from viral DNA visualized by electron tomography. [1] The map is at the top and atomic model of the DNA colored below. (Deposited in EMDB EMD-2210) . DNA origami is the nanoscale folding of DNA to create arbitrary two- and three-dimensional shapes at the nanoscale.
Traditional Korean patchwork pojagi wrapping cloth. Patchwork or "pieced work" is a form of needlework that involves sewing together pieces of fabric into a larger design. The larger design is usually based on repeating patterns built up with different fabric shapes (which can be different colors).
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 ).