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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).
Robert James Lang (born May 4, 1961) [citation needed] is an American physicist who is also one of the foremost origami artists and theorists in the world. He is known for his complex and elegant designs, most notably of insects and animals.
A paper lantern is a lantern made of thin, brightly colored paper. [1] Paper lanterns come in various shapes and sizes, as well as various methods of construction. In their simplest form, they are simply a paper bag with a candle placed inside, although more complicated lanterns consist of a collapsible bamboo or metal frame of hoops covered ...
Make these flowers now, so you can enjoy 'em all season long. To make, fold dyed cupcake liners in half and cut out petal and fringe shapes. Then fold a piece of floral wire in half and twist ...
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.
Computational origami results either address origami design or origami foldability. [3] In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using the creases of an initial configuration.
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. This property allows it to be used to fold surfaces made of rigid materials, making it distinct from the Kresling fold and Yoshimura fold which cannot be rigidly folded and ...
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]