Mathematical origami

geometrical shapes by paper folding

Author: David Mitchell

Publisher: Tarquin Pubns

ISBN: 9781899618187

Category: Crafts & Hobbies

Page: 64

View: 4727

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: 2506

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.

Unfolding Mathematics with Unit Origami

Author: Betsy Franco

Publisher: Key Curriculum

ISBN: 9781559532754

Category: Mathematics

Page: 136

View: 4919

Unfolding Mathematics With Unit Origami At last-an origami book designed specifically for mathematics classrooms! Origami books are typically written by origami experts and aimed at origami enthusiasts. This art form lends itself wonderfully to teaching mathematicsbut it's been up to you to find ways to do it. Now comes Unfolding Mathematics with Unit Origami, designed especially for algebra and geometry students in high school or middle school. Its elegant illustrations and detailed folding and assembly instructions enable you and your students to create beautiful and intriguing three-dimensional origami models. Its 16 absorbing activitiesall in blackline master formhave been carefully prepared in order of increasing difficulty of both folds and mathematical concepts. Through origami folding sequences, basic mathematical ideas reveal themselves: algebraic and angle relationships and different types of symmetry in two and three dimensions will engage your students'interest in new ways. You can choose activities from anywhere in the book, but if you move from front to back you'll cover an amazingly broad range of mathematical topics. And while the book's purpose is to teach mathematics, it also introduces students to the art of origami and contributions made to that art by noted origami experts, such as Tomoko Fus, Kunihiko Kasahara, David Masunaga, and Robert Neale. Most activities can be done in one class period and offer opportunities for group work, journal writing, and projects. Autobiographical vignettes by origami artists introduce students to origami culture and prompt students to discuss their own experiences with origami. The overview explains how you can best use this book in your classroom, including methods for assessing student work. Every activity gives you teaching ideas and strategies, as well as suggestions for extensions of the activity. There's also a glossary of terms and a list of recommended readings.

Project Origami

Activities for Exploring Mathematics, Second Edition

Author: Thomas Hull

Publisher: CRC Press

ISBN: 9781466567917

Category: Mathematics

Page: 364

View: 5313

Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.


Mathematical Explorations Through Paper Folding

Author: Kazuo Haga

Publisher: World Scientific

ISBN: 9812834915

Category: Crafts & Hobbies

Page: 152

View: 2638

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.

Paper Square Geometry

The Mathematics of Origami

Author: Michelle Youngs,Tamsen Lomeli,AIMS Education Foundation

Publisher: N.A

ISBN: 9781881431909

Category: Geometry

Page: 235

View: 9759

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: 3830

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!

How to Fold It

The Mathematics of Linkages, Origami, and Polyhedra

Author: Joseph O’Rourke

Publisher: Cambridge University Press

ISBN: 1139498541

Category: Mathematics

Page: N.A

View: 9150

What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website,, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Roses, Origami & Math

Author: Toshikazu Kawasaki

Publisher: Japan Publications Trading

ISBN: 9784889961843

Category: Crafts & Hobbies

Page: 175

View: 9363

Offers step-by-step directions for origami activities to help students explore angles, area, fractions, and other math concepts.

Multimodular Origami Polyhedra

Archimedeans, Buckyballs and Duality

Author: Rona Gurkewitz,Bennett Arnstein

Publisher: Courier Corporation

ISBN: 0486136779

Category: Crafts & Hobbies

Page: 80

View: 7260

Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Detailed instructions, clear diagrams.

Geometric Folding Algorithms

Linkages, Origami, Polyhedra

Author: Erik D. Demaine,Olin Professor of Computer Science Joseph O'Rourke

Publisher: N.A

ISBN: 9781306148665


Page: N.A

View: 6234

Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.

Geometric Origami

Author: Faye Goldman

Publisher: Simon and Schuster

ISBN: 1626861188

Category: Crafts & Hobbies

Page: 80

View: 2917

Too hip to be square. Shape up with this mind-blowing set that--quite honestly--we didn’t even know was possible until our editors discovered the exquisite artwork of Heinz Strobl’s Snapology Project. Inspired by his work, our designers have created Geometric Origami, a new, sophisticated origami kit for advanced origami artists. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don’t worry--there’s even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises. (We would include them here, but we’re still looking up their proper spellings.) * Gain a whole new perspective on geometry and the world of origami. * Great fun for the entire family--or for your local geometry professor. Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.

3-D Geometric Origami

Author: Rona Gurkewitz,Bennett Arnstein

Publisher: Courier Corporation

ISBN: 0486135608

Category: Crafts & Hobbies

Page: 80

View: 6216

Innovative, challenging book provides instructions, diagrams for creating polyhedra models — from the relatively simple tetrahedron to the mind-boggling truncated hexadecahedron.

Ornamental Origami

Exploring 3D Geometric Designs

Author: Meenakshi Mukerji

Publisher: A K Peters, Ltd.

ISBN: 1568814453

Category: Crafts & Hobbies

Page: 154

View: 9640

40 modular origami models, with easy-to-follow diagrams and step-by-step instructions.

Unit Polyhedoron Origami

Author: Tomoko Fuse

Publisher: Japan Publications Trading

ISBN: 9784889962055

Category: Crafts & Hobbies

Page: 99

View: 9741

Contains step-by-step, illustrated instructions for completing a variety of multidimensional origami projects.

Paper Crystals

Author: Consultant Oral and Maxillofacial Surgeon Honorary Consultant and Senior Clinical Lecturer David Mitchell,David Mitchell

Publisher: N.A

ISBN: 9780953477494

Category: Crafts & Hobbies

Page: 136

View: 4828

Paper Crystals are enchanting sculptures made from simple units folded from ordinary paper which lock firmly together without any need for sticky tape or glue. Paper Crystals are enchanting to look at, fascinating to make, and seem to have the ability to focus harmony and peace wherever they are displayed, making them ideal ornaments for your home or workplace and perfect gifts to share with your friends. Everything you need to know is explained in pictures and words in the clearest detail. This fully revised and much expanded Second Edition is a must for the collection of every origami aficionado but will also appeal to those who are interested in partnership art.

Origami & Geometry

Stars, Boxes, Troublewits, Chess, & More

Author: John Montroll

Publisher: Createspace Independent Pub

ISBN: 9781481969765

Category: Crafts & Hobbies

Page: 144

View: 7724

Step-by-step instructions teach you how to fold over 40 geometrically inspired original projects. Each model is folded from a square sheet, using geometric properties to create a wide variety of two and three dimensional models. Geometric concepts are explained throughout this work. 2D color pattern models include the Sierpinski Triangle, Marble Square, Radioactive Hexagon, stars, and more. 3D models include boxes, troublewits, prisms, antiprisms, diamonds, and antidiamonds. Also shown are Tic-tac-toe and chess boards with pieces. Models range from simple to very complex.

Twists, Tilings, and Tessellations

Mathematical Methods for Geometric Origami

Author: Robert J. Lang

Publisher: CRC Press

ISBN: 148226241X

Category: Mathematics

Page: 756

View: 7206

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.

Origami Math

Grades 4-6

Author: Karen Baicker

Publisher: Teaching Resources

ISBN: 9780439539920

Category: Education

Page: 48

View: 5077

Offers step-by-step directions for more than twelve origami activities to help students explore angles, area, fractions, and other math concepts.