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Geometric Folding Algorithms information


Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding, and polyhedral nets, by Erik Demaine and Joseph O'Rourke. It was published in 2007 by Cambridge University Press (ISBN 978-0-521-85757-4).[1][2][3][4] A Japanese-language translation by Ryuhei Uehara was published in 2009 by the Modern Science Company (ISBN 978-4-7649-0377-7).[5]

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Geometric Folding Algorithms

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Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding...

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Mathematics of paper folding

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origami foldability problems. In 1893, Indian civil servant T. Sundara Row published Geometric Exercises in Paper Folding which used paper folding to demonstrate...

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List of unsolved problems in computer science

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O'Rourke, Joseph (2007), "24 Geodesics: Lyusternik–Schnirelmann", Geometric folding algorithms: Linkages, origami, polyhedra, Cambridge: Cambridge University...

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Erik Demaine

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thesis was later incorporated into his book Geometric Folding Algorithms on the mathematics of paper folding published with Joseph O'Rourke in 2007. Demaine...

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List of algorithms

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algorithms (also known as force-directed algorithms or spring-based algorithm) Spectral layout Network analysis Link analysis Girvan–Newman algorithm:...

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Napkin folding problem

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The napkin folding problem is a problem in geometry and the mathematics of paper folding that explores whether folding a square or a rectangular napkin...

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Geometric Exercises in Paper Folding

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Geometric Exercises in Paper Folding is a book on the mathematics of paper folding. It was written by Indian mathematician T. Sundara Row, first published...

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Polyhedron

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Erik D.; O'Rourke, Joseph (2007), "23.2 Flexible polyhedra", Geometric Folding Algorithms: Linkages, origami, polyhedra, Cambridge University Press, Cambridge...

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List of books in computational geometry

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World Scientific. Erik D. Demaine; Joseph O'Rourke (2007). Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge University Press....

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Origami

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from ori meaning "folding", and kami meaning "paper" (kami changes to gami due to rendaku)) is the Japanese art of paper folding. In modern usage, the...

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Antiparallelogram

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antiparallelogram linkage. Demaine, Erik; O'Rourke, Joseph (2007), Geometric Folding Algorithms, Cambridge University Press, pp. 32–33, doi:10.1017/CBO9780511735172...

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A History of Folding in Mathematics

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History of Folding in Mathematics: Mathematizing the Margins is a book in the history of mathematics on the mathematics of paper folding. It was written...

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List of unsolved problems in mathematics

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O'Rourke, Joseph (2007), "Chapter 22. Edge Unfolding of Polyhedra", Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Cambridge University Press, pp...

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Disphenoid

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MR 2341323, S2CID 32897155. Demaine, Erik; O'Rourke, Joseph (2007), Geometric Folding Algorithms, Cambridge University Press, p. 424, ISBN 978-0-521-71522-5....

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Islamic geometric patterns

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that such constructions are in effect algorithms, making Islamic geometric patterns forerunners of modern algorithmic art. The circle symbolizes unity and...

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Flexible polyhedron

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Erik D.; O'Rourke, Joseph (2007), "23.2 Flexible polyhedra", Geometric Folding Algorithms: Linkages, origami, polyhedra, Cambridge University Press, Cambridge...

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Alfred Kempe

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O'Rourke, Joseph (2007), "3.2 Kempe's Universality Theorem", Geometric Folding Algorithms, Cambridge University Press, pp. 31–40, ISBN 978-0-521-71522-5...

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Hash function

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keys into fixed length (usually machine word length or less) values, by folding them by words or other units using a parity-preserving operator like ADD...

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Exponential growth

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time t. So exponentially complex algorithms are most often impractical, and the search for more efficient algorithms is one of the central goals of computer...

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Cut locus

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Demaine, Erik; O'Rourke, Joseph (2007). "24.1.1 Source unfolding". Geometric Folding Algorithms. Cambridge University Press. pp. 359–362. ISBN 978-0-521-71522-5...

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Theorem of the three geodesics

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O'Rourke, Joseph (2007), "24 Geodesics: Lyusternik–Schnirelmann", Geometric folding algorithms: Linkages, origami, polyhedra, Cambridge: Cambridge University...

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Star unfolding

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Demaine, Erik; O'Rourke, Joseph (2007), "24.3 Star unfolding", Geometric Folding Algorithms, Cambridge University Press, pp. 366–372, ISBN 978-0-521-71522-5...

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Geometric separator

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separator itself) is small. When a geometric separator exists, it can be used for building divide-and-conquer algorithms for solving various problems in...

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Google DeepMind

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the AlphaFold database. AlphaFold's database of predictions achieved state of the art records on benchmark tests for protein folding algorithms, although...

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