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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.
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.
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.
A paper fortune teller may be constructed by the steps shown in the illustration below: [1] [2] The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases.
A crease pattern (commonly referred to as a CP) [1] is an origami diagram that consists of all or most of the creases in the final model, rendered into one image. This is useful for diagramming complex and super-complex models, where the model is often not simple enough to diagram efficiently.
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]
Since then, many variations of modified Sonobe units have been developed; some examples of these can be found in Meenakshi Mukerji's book Marvelous Modular Origami (2007). Another variation to Sonobe models is the addition of secondary units to basic Sonobe unit forms to create new geometric shapes; some of which can be seen in Tomoko Fuse's ...
John Montroll was born in Washington, D.C. [1] He is the son of Elliott Waters Montroll, an American scientist and mathematician.He has a Bachelor of Arts degree in Mathematics from the University of Rochester, a Master of Arts in Electrical Engineering from the University of Michigan, and a Master of Arts in applied mathematics from the University of Maryland.