Mathematical origami

geometrical shapes by paper folding

Author: David Mitchell

Publisher: Tarquin Pubns

ISBN: 9781899618187

Category: Crafts & Hobbies

Page: 64

View: 2369

Presents step-by-step instructions to make paper models of geometric shapes including a cube, tetrahedron, rombic star and dodecahedron. Suggested level: senior secondary.

Origami and Math

Simple to Complex

Author: John Montroll

Publisher: Courier Corporation

ISBN: 0486488861

Category: Crafts & Hobbies

Page: 120

View: 2051

Presents instructions for folding thirty-nine origami models, from geometrical figures to an elephant--each made from a single sheet of paper--that emphasize the mathematical principles behind each design.

Origami Inspirations

Author: Meenakshi Mukerji

Publisher: CRC Press

ISBN: 1439871051

Category: Mathematics

Page: 136

View: 9173

This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners. A number of beautiful models are offered, ranging from cubes to prisms to dodecahedra. As with the author’s two previous books, Origami Inspirations provides step-by-step instructions and color distribution suggestions to create the more than 30 intricate designs presented. The book also includes a chapter featuring designs by origami artists from around the world, and these projects provide a happy complement to the author’s own exciting inspirations in the rest of the book.

Raising Public Awareness of Mathematics

Author: Ehrhard Behrends,Nuno Crato,Jose Francisco Rodrigues

Publisher: Springer Science & Business Media

ISBN: 3642257100

Category: Mathematics

Page: 404

View: 921

This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities – including concerted actions with other international organizations – directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts: • National experiences • Exhibitions / mathematical museums • Popularization activities • Popularization: why and how?


Mathematical Explorations Through Paper Folding

Author: Kazuo Haga,Josefina Fonacier,Masami Isoda

Publisher: World Scientific

ISBN: 9812834893

Category: Mathematics

Page: 134

View: 773

The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.


Author: Thomas Hull

Publisher: CRC Press

ISBN: 1439870047

Category: Mathematics

Page: 352

View: 1311

The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA. They cover topics ranging from the mathematics of origami using polygon constructions and geometric projections, applications, and science of origami, and the use of origami in education.

Marvelous Modular Origami

Author: Meenakshi Mukerji

Publisher: A K PETERS

ISBN: 9781138430266


Page: N.A

View: 6504

This richly illustrated book provides step-by-step instructions for the construction of over 30 different modular origami structures. The author describes basic folding techniques required to construct the �modules� that are used as building blocks to construct complex ornamental models. The diagrams are clear, crisp, and easy to follow, and are accompanied by inspiring color photographs. Additional tips encourage the reader to design their own original creations. Advance Praise for Marvelous Modular Origami "A must-have for any modular origami polyhedra enthusiast." -Rona Gurkewitz, co-author of Multimodular Origami Polyhedra "The models are paper folding in its purest form. They range from simple Sonobe to floral and geometrical constructions. All are eye-catching and satisfying to fold, and the finished constructions are pleasing to behold. Also included are short sections on the mathematics behind the shapes and optimum color choices." -David Petty, author of Origami A-B-C "In this colorful book, you'll find wonderful original origami modular creations. Meenakshi's clear instructions and helpful hints will have you zipping through these modules as well as improvising your own." -Rachel Katz, co-author of FUN FOLDS: Language Learning Through Paper Folding "Marvelous Modular Origami is a colorful addition to the literature of mathematical origami." -Florence Temko, author of many origami and other craft books

Mind-Blowing Modular Origami

The Art of Polyhedral Paper Folding: Use Origami Math to fold Complex, Innovative Geometric Origami Models

Author: Byriah Loper

Publisher: Tuttle Publishing

ISBN: 1462917712

Category: Crafts & Hobbies

Page: 96

View: 2461

Modular origami is the latest craze in paper folding! These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins—to ornate flower-like spheres. Each piece of paper is held by the tension of the other papers—demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong! Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village. A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf!

Symmetry, Shape, and Surfaces

An Introduction to Mathematics Through Geometry

Author: L. Christine Kinsey,Teresa E. Moore

Publisher: Springer Science & Business Media

ISBN: 9781930190092

Category: Mathematics

Page: 494

View: 6711

This text is modern in its selection of topics and in the learning models used by the authors. Covers some exciting, but non-traditional topics from the subject area of geometry.

Meilensteine der Mathematik

Author: Ian Stewart

Publisher: Spektrum Akademischer Verlag

ISBN: 9783827423009

Category: Science

Page: 288

View: 2275

Wer hat die Null erfunden? Wie können imaginäre Zahlen helfen, dass reale Wolkenkratzer nicht umfallen? Wo treffen sich parallele Linien? Und wann haben Sie heute zuletzt abstrakte Algebra genutzt? (Doch, Sie haben.) Wie die Mathematik die moderne Welt erschaffen hat – eine illustrierte Geschichte der Mathematik für ein breites Publikum, von den Ursprüngen im Zweistromland bis zur Gegenwart Ian Stewarts spannende Geschichte der Mathematik führt uns von der frühen Hochkultur der Babylonier bis zu den letzten ungelösten Rätseln dieser Disziplin. In typisch Stewart'scher Manier, also unterhaltsam und zugleich fundiert, schildert und erklärt er die großen Meilensteine der Mathematik – von den ersten Zahlensystemen bis zur Chaostheorie – und geht der Frage nach, welche Auswirkungen sie auf die Gesellschaft hatten und wie sie den Alltag auf alle Zeit veränderten. Er bringt uns dabei auch die Geistesgrößen der Mathematik näher, von den Naturforschern und Denkern Babyloniens, Griechenlands und Ägyptens über Newton und Descartes bis zu Fermat, Babbage und Gödel. Ohne den Leser mit komplizierten Formeln zu erschrecken, macht er die Schlüsselkonzepte der Mathematik verständlich. Als anregender historischer Streifzug für den interessierten Laien steckt Meilensteine der Mathematik voller faszinierender Details und kurioser Anekdoten. Hundert Abbildungen und Diagramme beleuchten und erhellen ein Gebiet, das von vielen Menschen gefürchtet wird, das aber unsere heutige Welt entscheidend geprägt hat.

Masters of origami at Hangar-7

die Vielfalt der Faltkunst

Author: V'Ann Cornelius

Publisher: N.A

ISBN: 9783775716277

Category: Origami

Page: 162

View: 2646

Ein kleines Papierquadrat mit 15 Zentimetern Seitenlänge ist die Keimzelle des Origami, der fast 2'000 Jahre alten Kunst des Papierfaltens. Aus ihm entstehen, einem ungeschriebenen Gesetz folgend, ohne Verwendung von Schere oder Klebstoff kunstvolle Objekte wie etwa der berühmte Kranich. In den 1990er Jahren begann die Blitzkarriere des Origami als Kunstform. Die vorgestellten Künstler (Auswahl): Vincent Floderer (FR), Tomoko Fuse (JAP), Paul Jackson (GB), Koshiro Hatori (JAP), Eric Joisel (FR), Saburo Kase (JAP), Michael LaFosse (USA), Robert Lang (USA), Joseph Wu (CAN), Akira Yoshizawa (JAP) (Quelle: Verlagsinformation).

Origami 5

Fifth International Meeting of Origami Science, Mathematics, and Education

Author: Patsy Wang-Iverson,Robert J. Lang,Mark YIM

Publisher: CRC Press

ISBN: 143987350X

Category: Mathematics

Page: 668

View: 9601

Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields. The fifth such meeting, 5OSME (July 13–17, 2010, Singapore Management University) followed the precedent previous meetings to explore the interdisciplinary connections between origami and the real world. This book begins with a section on origami history, art, and design. It is followed by sections on origami in education and origami science, engineering, and technology, and culminates with a section on origami mathematics—the pairing that inspired the original meeting. Within this one volume, you will find a broad selection of historical information, artists’ descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the mathematical underpinnings of origami.

Genuine Japanese Origami

34 Mathematical Models Based Upon ?2

Author: Jun Maekawa,Koshiro Hatori

Publisher: Courier Corporation

ISBN: 0486483355

Category: Crafts & Hobbies

Page: 128

View: 1857

Unique and wildly creative, this mathematical and geometricapproach to origami contains 40 models of cubes, towers, andgeometric shapes as well as puzzles and models of everyday items— all folded from rectangular paper. This is the first publicationoutside Japan of these original figures, offering intermediate leveland serious origamists an intriguingblend of art and science.Dover (2012) English translation andnew selection of models from GenuineOrigami Ã2, Japan Publications TradingCo. Ltd., Japan, 2009.

Twists, Tilings, and Tessellations

Mathematical Methods for Geometric Origami

Author: Robert J. Lang

Publisher: CRC Press

ISBN: 148226241X

Category: Mathematics

Page: 756

View: 6171

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Modular Origami Polyhedra

Revised and Enlarged Edition

Author: Lewis Simon,Bennett Arnstein,Rona Gurkewitz

Publisher: Courier Corporation

ISBN: 0486137848

Category: Crafts & Hobbies

Page: 64

View: 8303

Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!

Origami${}^6$: II. Technology, Art, Education

Author: Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson

Publisher: American Mathematical Soc.

ISBN: 1470418762

Category: Origami

Page: 376

View: 4137

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.