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Robert Lang folding an origami American flag, which includes 50 stars and 15 white and 13 red stripes, from a single uncut square. Lang was born in Dayton, Ohio, and grew up in Atlanta, Georgia. [1] Lang studied electrical engineering at the California Institute of Technology, where he met his wife-to-be, Diane. [2]
Computational origami is a recent branch of computer science that is concerned with studying algorithms that solve paper-folding problems. The field of computational origami has also grown significantly since its inception in the 1990s with Robert Lang's TreeMaker algorithm to assist in the precise folding of bases. [2]
Robert J. Lang – author of many Origami books including the new benchmark Origami Design Secrets; formerly a laser physicist at NASA before quitting in 2001 and committing to origami full-time [1] [3] [4] [2] [5] David Lister – founding member of the British Origami Society
It includes the NP-completeness of testing flat foldability, [2] the problem of map folding (determining whether a pattern of mountain and valley folds forming a square grid can be folded flat), [2] [4] the work of Robert J. Lang using tree structures and circle packing to automate the design of origami folding patterns, [2] [4] the fold-and ...
After a few years of this sort of use, designers such as Robert J. Lang, Meguro Toshiyuki, Jun Maekawa and Peter Engel began to design using crease patterns. This allowed them to create with increasing levels of complexity, and the art of origami reached unprecedented levels of realism. Now most higher-level models are accompanied by crease ...
Robert J. Lang has applied rigid origami to the problem of folding a space telescope. [7] Although paper shopping bags are commonly folded flat and then unfolded open, the standard folding pattern for doing so is not rigid; the sides of the bag bend slightly when it is folded and unfolded. The tension in the paper from this bending causes it to ...
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Koshiro Hatori and Robert J. Lang also found axiom 7. The axioms are as follows: Given two distinct points p 1 and p 2, there is a unique fold that passes through both of them. Given two distinct points p 1 and p 2, there is a unique fold that places p 1 onto p 2. Given two lines l 1 and l 2, there is a fold that places l 1 onto l 2.