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| Softcover ISBN: | 978-1-4704-1876-2 |
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| Softcover ISBN: | 978-1-4704-1876-2 |
| Product Code: | MBK/95.2 |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $55.30 |
| eBook ISBN: | 978-1-4704-2791-7 |
| Product Code: | MBK/95.2.E |
| List Price: | $70.00 |
| MAA Member Price: | $63.00 |
| AMS Member Price: | $49.00 |
| Softcover ISBN: | 978-1-4704-1876-2 |
| eBook ISBN: | 978-1-4704-2791-7 |
| Product Code: | MBK/95.2.B |
| List Price: | $149.00 $114.00 |
| MAA Member Price: | $134.10 $102.60 |
| AMS Member Price: | $104.30 $79.80 |
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Book Details2015; 376 ppMSC: Primary 00; 01; 51; 52; 53; 68; 70; 74; 92; 97
\(Origami^6\) is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10–13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design.
This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 2 focuses on the connections of origami to education and more applied areas of science: engineering, physics, architecture, industrial design, and other artistic fields that go well beyond the usual folded paper.
ReadershipUndergraduate and graduate students and research mathematicians interested in origami and applications in mathematics, technology, art, and education.
This item is also available as part of a set: -
Table of Contents
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V. Origami in Technology and Science
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Yves Klett, Marc Grzeschik and Peter Middendorf — Comparison of compressive properties of periodic non-flat tessellations
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Kazuko Fuchi, Philip R. Buskohl, James J. Joo, Gregory W. Reich and Richard A. Vaia — Numerical analysis of origami structures through modified frame elements
-
Yang Yang, Xilu Zhao, Sunao Tokura and Ichirou Hagiwara — A study on crash energy absorption ability of lightweight structures with truss core panel
-
Evgueni T. Filipov, Tomohiro Tachi and Glaucio H. Paulino — Toward optimization of stiffness and flexibility of rigid, flat-foldable origami structures
-
Joseph M. Gattas and Zhong You — Structural engineering applications of morphing sandwich structures
-
Sachiko Ishida, Hiroaki Morimura and Ichiro Hagiwara — Sound-insulting performance of origami-based sandwich trusscore panels
-
Jonathan Ho and Zhong You — Thin-walled deployable grid structures
-
Rupert Maleczek — Deployable linear folded stripe structures
-
Gunther H. Filz, Georg Grasser, Johannes Ladinig and Rupert Maleczek — Gravity and friction-driven self-organized folding
-
Eiji Iwase and Isao Shim — Magnetic self-assembly of three-dimensional microstructures
-
Pierluigi D’Acunto and Juan Jose Castellon Gonzalez — Folding augmented: A design method to integrate structural folding in archietecture
-
Susanne Hoffmann, Martin Barej, Benedikt Gunther, Martin Trautz, Burkhard Corves and Jorg Feldhusen — Demands on an adapted design process for foldable structures
-
Mukulika Ghosh, Daniel Tomkins, Jory Denny, Samuel Rodriguez, Marco Morales and Nancy M. Amato — Planning motions for shape-memory alloy sheets
-
Naoya Tsuruta, Jun Mitani, Yoshihiro Kanamori and Yukio Fukui — Simple flat origami exploration system with random folds
-
Rostislav Chudoba, Jan van der Woerd and Josef Hegger — ORICREATE: Modeling framework for design and manufacturing of folded plate structures
-
Yoshinobu Miyamoto — Rotational erection system (res): Origami extended with cuts
-
Philipp J. Mehner, Tian Liu, Majid Bigdeli Karimi, Alyssa Brodeur, Juan Paniagua, Stephanie Giles, Patricia Richard, Antoniya Nemtserova, Sanwei Liu, Roger Alperin, Sangeeta Bhatia, Martin Culpepper, Robert J. Lang and Carol Livermore — Toward engineering biological tissues by directed assembly and origami folding
-
Mark C. Neyrinck — Cosmological origami: Properties of cosmic-web components when a non-stretchy dark-matter sheet folds
-
VI. Origami in art, design, and history
-
Caterina Cumino, Emma Frigerio, Simona Gallina, Maria Luisa Spreafico and Ursula Zich — Modeling vaults in origami: A bridge between mathematics and architecture
-
Yves Klett — Folding perspectives: Joys and uses of 3d anamorphic origami
-
Kevin Box and Robert J. Lang — Master peace: An evolution of monumental origami
-
Tine De Ruysser — Wearable metal origami
-
Jeannine Mosely — Crowdsourcing origami sculptures
-
Matthew Gardiner — On the aesthetics of folding and technology: Scale, dimensionality, and materiality
-
Jun Maekawa — Computational problems related to paper crane in the Edo period
-
Koshiro Hatori — Mitate and origami
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VII. Origami in education
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Miri Golan and John Oberman — The kindergarten origametria programme
-
Emma Frigerio and Maria Luisa Spreafico — Area and optimization problems
-
Shi-Pui Kwan — Mathematics and art through the cubotahedron
-
Arnold Tubis — Origami-inspired deductive threads in pre-geometry
-
Yanping Huang and Peng-Yee Lee — Using paper folding to solve problems in school geometry
-
Ali Bahmani, Kiumars Sharif and Andrew Hudson — Using origami to enrich mathematical understanding of self similarity and fractals
-
Leon Poladian — Using the Fujimoto approximation technique to teach chaos theory to high school students
-
-
Additional Material
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Reviews
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This text complements the published proceedings of previous international meetings on origami, showing both extension and new applications of origami as a respected discipline. Although not for novices, the text is recommended for anyone with considerable experience creating and analyzing origami structures.
Jerry Johnson, Mathematics Teacher
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
\(Origami^6\) is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10–13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design.
This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 2 focuses on the connections of origami to education and more applied areas of science: engineering, physics, architecture, industrial design, and other artistic fields that go well beyond the usual folded paper.
Undergraduate and graduate students and research mathematicians interested in origami and applications in mathematics, technology, art, and education.
-
V. Origami in Technology and Science
-
Yves Klett, Marc Grzeschik and Peter Middendorf — Comparison of compressive properties of periodic non-flat tessellations
-
Kazuko Fuchi, Philip R. Buskohl, James J. Joo, Gregory W. Reich and Richard A. Vaia — Numerical analysis of origami structures through modified frame elements
-
Yang Yang, Xilu Zhao, Sunao Tokura and Ichirou Hagiwara — A study on crash energy absorption ability of lightweight structures with truss core panel
-
Evgueni T. Filipov, Tomohiro Tachi and Glaucio H. Paulino — Toward optimization of stiffness and flexibility of rigid, flat-foldable origami structures
-
Joseph M. Gattas and Zhong You — Structural engineering applications of morphing sandwich structures
-
Sachiko Ishida, Hiroaki Morimura and Ichiro Hagiwara — Sound-insulting performance of origami-based sandwich trusscore panels
-
Jonathan Ho and Zhong You — Thin-walled deployable grid structures
-
Rupert Maleczek — Deployable linear folded stripe structures
-
Gunther H. Filz, Georg Grasser, Johannes Ladinig and Rupert Maleczek — Gravity and friction-driven self-organized folding
-
Eiji Iwase and Isao Shim — Magnetic self-assembly of three-dimensional microstructures
-
Pierluigi D’Acunto and Juan Jose Castellon Gonzalez — Folding augmented: A design method to integrate structural folding in archietecture
-
Susanne Hoffmann, Martin Barej, Benedikt Gunther, Martin Trautz, Burkhard Corves and Jorg Feldhusen — Demands on an adapted design process for foldable structures
-
Mukulika Ghosh, Daniel Tomkins, Jory Denny, Samuel Rodriguez, Marco Morales and Nancy M. Amato — Planning motions for shape-memory alloy sheets
-
Naoya Tsuruta, Jun Mitani, Yoshihiro Kanamori and Yukio Fukui — Simple flat origami exploration system with random folds
-
Rostislav Chudoba, Jan van der Woerd and Josef Hegger — ORICREATE: Modeling framework for design and manufacturing of folded plate structures
-
Yoshinobu Miyamoto — Rotational erection system (res): Origami extended with cuts
-
Philipp J. Mehner, Tian Liu, Majid Bigdeli Karimi, Alyssa Brodeur, Juan Paniagua, Stephanie Giles, Patricia Richard, Antoniya Nemtserova, Sanwei Liu, Roger Alperin, Sangeeta Bhatia, Martin Culpepper, Robert J. Lang and Carol Livermore — Toward engineering biological tissues by directed assembly and origami folding
-
Mark C. Neyrinck — Cosmological origami: Properties of cosmic-web components when a non-stretchy dark-matter sheet folds
-
VI. Origami in art, design, and history
-
Caterina Cumino, Emma Frigerio, Simona Gallina, Maria Luisa Spreafico and Ursula Zich — Modeling vaults in origami: A bridge between mathematics and architecture
-
Yves Klett — Folding perspectives: Joys and uses of 3d anamorphic origami
-
Kevin Box and Robert J. Lang — Master peace: An evolution of monumental origami
-
Tine De Ruysser — Wearable metal origami
-
Jeannine Mosely — Crowdsourcing origami sculptures
-
Matthew Gardiner — On the aesthetics of folding and technology: Scale, dimensionality, and materiality
-
Jun Maekawa — Computational problems related to paper crane in the Edo period
-
Koshiro Hatori — Mitate and origami
-
VII. Origami in education
-
Miri Golan and John Oberman — The kindergarten origametria programme
-
Emma Frigerio and Maria Luisa Spreafico — Area and optimization problems
-
Shi-Pui Kwan — Mathematics and art through the cubotahedron
-
Arnold Tubis — Origami-inspired deductive threads in pre-geometry
-
Yanping Huang and Peng-Yee Lee — Using paper folding to solve problems in school geometry
-
Ali Bahmani, Kiumars Sharif and Andrew Hudson — Using origami to enrich mathematical understanding of self similarity and fractals
-
Leon Poladian — Using the Fujimoto approximation technique to teach chaos theory to high school students
-
This text complements the published proceedings of previous international meetings on origami, showing both extension and new applications of origami as a respected discipline. Although not for novices, the text is recommended for anyone with considerable experience creating and analyzing origami structures.
Jerry Johnson, Mathematics Teacher
