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The major question about such crease patterns is whether a given crease pattern can be folded to a flat model, and if so, how to fold them; this is an NP-complete problem. [32] Related problems when the creases are orthogonal are called map folding problems. There are three mathematical rules for producing flat-foldable origami crease patterns ...
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.
Crease pattern for a swordsman. 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.
Toilet paper with folding. Hotel toilet paper folding is a common practice performed by hotels worldwide as a way of assuring guests that the bathroom has been cleaned. [1]The common fold normally involves creating a triangle or "V" shape out of the first available sheet or square on a toilet paper roll.
Origami Omnibus: Paper Folding for Everybody. Tokyo: Japan Publications, Inc. ISBN 4-8170-9001-4 A book for a more advanced origamian; this book presents many more complicated ideas and theories, as well as related topics in geometry and culture, along with model diagrams. Kunihiko Kasahara and Toshie Takahama (1987). Origami for the Connoisseur.
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 ...
Akira Yoshizawa (吉澤 章, Yoshizawa Akira, 14 March 1911 – 14 March 2005) was a Japanese origamist, considered to be the grandmaster of origami.He is credited with raising origami from a craft to a living art.
Maying Soong's 1948 book, The Art of Chinese Paper Folding, helped popularise recreational paper folding in the 20th century, and was possibly the first to distinguish the difference between Chinese versus Japanese paper folding – where the Chinese focus primarily on inanimate objects, such as boats or pagoda, the Japanese include representations of living forms, such as the crane. [4]