Product Description
Origami is the art of paper folding without the use of scissors or glue. Each of the mathematical shapes described in this book can be made by folding standard sheets of A4 paper. The author gives clear step-by-step instructions for each shape. ... Read more

Customer Reviews (6)

Very Useful, Neat Structures
One of the best parts of the cube assemblies in this book is that the face is a single sheet and uncreased, making a very neat appearance on the finished cubes.This cube is my second favorite cube construction - it is easy to fold and easy to assemble.My favorite is a cube folded from a single sheet that pops into shape via a glide movement that is just plain elegant.But back to this book - I have used it so much that the pages are falling out and I am just about ready to buy a new copy.The Columbus Cube stacks always intrigue people, especially when they realize they are not attached, just nested on each other.These models are also easy to scale to smaller and larger paper.The price is a bit high for the number of models presented, but overall worth it, I think.

Beginning Origami
Almost all of the text and diagrams are simple and easy to follow. I was unable to make one of the projects. A few of the illustrations lack definition. This book is easier to use than another similar text by Fuse.
I am an origami beginner.

Columbus Cubes or bust!
Although not as fascinating as his PAPER CRYSTALS (a stellar work of modular origami), MATHEMATICAL ORIGAMI is a very solid work on the topic.David Mitchell again gives clear instructions in text and diagrams for a very intriguing branch of paperfolding.There are many books on geometric and modular origami, but Mitchell's are more than just "look at this neat design."Instead, they are well thought out and very intelligently written.A must-have for fans of the art.

Mathematical fun
My office generates lots of notices printed on brightly colored paper (usually printed on only one side). This is a great use for scrap paper. I think it is somewhat challenging (highschool level). I completed all but one. (the Decorative Rhombic Dodecahedron).
Americans should note that A4 paper is not the American satandard 8.5" X 11" but it doesn't make any difference for most of the structures. When you get to the Skeletal Cube shave the 8.5 inch dimension to 7.78 inches.

Review of Mathematical Origami
A concise and well-written book, with clear diagrams and straightforward instructions, suitable for any beginner in the field. Includes the most well-known mathematical representation
of modular origami. Advanced users might prefer a higher-level
book. Includes a list of references for further reading that might be helpful. ... Read more

Product Description
The "figures" in this book are triangles, squares, circles and other shapes drawn and used in geometry. This science was used in Egypt at least five thousand years ago to measure land flooded by the River Nile, and the name geometry comes from Greek words meaning "earth-measuring".Many useful and beautiful articles are designed with the help of geometry. Artists and craftsmen often use geometric figures and patterns. Engineers rely on this brach of mathematics when they plan bridges, tunnels, machines and buildings. This book is filled with fun projects that will give you a real understanding of one of the most important branches of mathematics. Chapter titles include: Straight Lines, Lines That Never Meet, Angles, Reflection ANgles, Lines That Cross Squarely, Triangles, Equal-sided Triangles, Shadows Measure Height, Measuring Distances, Circles, More About Circles, Round Figures, Ovals, How to Draw an Ellipse, The Parabola, SPirals, The Helix, The Thread of a Screw, Quiver Pictures, One-Sided Piece of Paper, Knots, The Three Tags, Cutting and Fitting, Tangram, ature's Geometry, Star Cut-out and Objects With Many Faces. Filled with photographs ... Read more

Product Description
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.

Contents: A Point Opens the Door to Origamics; New Folds Bring Out New Theorems; Extension of the Haga s Theorems to Silver Ratio Rectangles; X-Lines with Lots of Surprises; Intrasquares and Extrasquares ; A Petal Pattern from Hexagons?; Heptagon Regions Exist?; A Wonder of Eleven Stars; Where to Go and Whom to Meet; Inspiration of Rectangular Paper. ... Read more

Product Description

Customer Reviews (5)

A better title might have been "Fun with Geometry"
This thin book has few new models, but I'm keeping it for it's interesting approach to the subject matter; the curious relationships between origami and math.It's almost more theoretical that hands-on. That said, I filled my Christmas tree with the simple "Roulette" modelon the front cover (done up in Cayola's stardust inkjet paper) because it looked so amazing as an ornament.Think Frobel's cool? Want to fold a pentagram or make a pentagon? Know much about the Pythagorean theorem or the golden rectangle? Do you want one book with a selection of simple units to make platonic solids and other 3D shapes? Maybe this book is for you.

Pretty but not easy
I find this an interesting book with some incredible origami pieces, but be careful when buying it, because it is not as easy at it seems.If you are a novice in origami, you'll need patience and orientation from someone who knows more than you.Anyway, there is indeed beautiful origami.

another one¡
You know, Kasahara has always been one of the pioneers, and one of the best origamists of the world, a book very interesting, you should buy it.

Not really that amazing
I bought this book on the strength that it is by Kunihiko Kasahara. I am an admirer of his works and have attempted to collect all books by him.

There is a lot of mathematics involve so for those who like to combine mathematics and origami, this is a good book to add to your collection. If you are just interested in origami and not mathematics, perhaps, you might consider browsing it at your local book stores before deciding.

The models within are not really that amazing, in fact rather simple. These simple models are being used to illustrate the mathematics involved in the folding of the models.

The 5 platonic solids (tetrahedron, cube, octahedron, dodecahedron, icosahedron) are introduced here, the mathematics involved and how to fold it. They are very attractive to fold if the right colours are chosen. Boxes, stars, tangrams and other geometric solids are included. Most of these can be used for decorations other than studying the mathematics involve.

Whether you think this book is worth getting will depend a lot on your interest.

A book for math teachers!!!
This book is an excellent source for math teacher, but not as good for someone that just like origami for the joy of it, because it goes in to much math and no into the beautiful models that KunihikoKasahara usually presents. ... Read more

Product Description
This richly illustrated book provides step-by-step folding instructions for the construction of over 40 modular origami creations. The author describes how to fold the modules and how to use them as building blocks to construct larger polyhedral models. These beautiful designs are elaborate three-dimensional geometric patterns, some resembling stars or flowers. One chapter focuses on models representing mutually intersecting planes in the shape of stars, hexagons, etc. Some of the models are advanced variations of favorite models from the author s previous book, Marvelous Modular Origami. The folding diagrams are clear, crisp, and easy to follow and are accompanied by color photographs of brilliant finished models. The book is aimed at intermediate folders, but the origami basics included at the start of the book make it accessible to beginners. ... Read more

Customer Reviews (6)

Amazing examples of what "simple" paper folding can accomplish
The increasing complexity and resultant beauty of origami designs continues to amaze me. When looking at the end result, it is hard to believe that the object was constructed by executing a series of simple folds and bends of paper. The designs illustrated in this book are complex and when done, create objects that look very much like flowers. The title is very appropriate; the end results of the operations are very ornamental in appearance.
Explicit instructions for each of the designs are given, yet while they are reasonably easy to follow, that trait is relative. By that, I mean that the experienced practitioner of origami will find them easy to follow; novices will be forced to take some time to learn the details. Nevertheless, this book is a valuable container of some exquisite designs for origami objects.

Another great book!
This is the second book I have of the author and I am loving it. I have folded only one model so far from the book and the result is great-looking but easy to fold.

Some of the designs in this book are enhancements of designs from her first book but mostly they are new. Like her first book, this one too is one in category with variety of simple to complex modules, clear diagrams and specially the beautiful color photographs of the finished model which instantly catches the eye.

She also recommends the paper size and type for different models and the size of the finished model, which makes it much more easier than deciding on your own. I sometimes have not been too happy with a finished model because I had started with the wrong paper size. So her recommendations are very helpful for the less experienced folder like me.

Also her first chapter about modular origami basics and the mathematical relation to the modular origami is a good summary for a beginner. Overall, an excellent book for a new folder with patience and ready to explore the modular origami world as well as a modular origami enthusiast.

Great Book, Nice Models
It's a quite good origami book, many models and the instructions are pretty clear. The book not only shows how to make origami models it has also a small mathematical appendix and some exercises to think about how to create your own models.
It's good for intermediate origami enthusiasts.

Great for Intermediate Origami Makers
This is a great book to branch our in to the geometric shapes of Origami.It is for people who have been folding and doing Origami for several years as some of the instructions are truncated since it is assumed you know different beginning folds.Still an excellent book to expand your knowledge and Origami collection with.

Good book!
I haven't dived in to this book yet, but I have the author's previous book and have done several of the designs and can recommend both books. ... Read more

Product Description
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 themodulesthat 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. ... Read more

Customer Reviews (9)

Marvelous Modular Models!
I got this book after browsing through the author's well-known website for modular origami. It's a very nice book explaining how to make great looking modular balls. The diagrams are very clear and well described with pictures showing how the modular unit should look like in each step. Being just over an year old in the origami world, I got stumped a couple of times but seeing the diagram of the next step helped me figure out the fold. All I needed was a little bit of practice and a bit more patience. For beginners like me, it's a good practice to make one unit using a printer paper and understand all the steps. Also, I recommend reading the 'Homogeneous Color Tiling' section of the book if one is using multiple colors for making a model.

I believe even a beginner, after getting a bit familiar with the basic origami diagrams, can fold the models in the book as there are no complex folds involved. I highly recommend this book. And if you are into polyhedra and floral models, it is a must.

No good
This is the second book of the same author that I bought. It is a deception. The printing quality is very bad, the format of the book is not useful and the most important thing: The diagrams are not well done and the explanation is not clear. In general most of the model are adptation from others model but not very clear. Truly is a very bad book!

wonderful
This book is definitely not for beginners, but the art work you can create from paper is beautiful!The illustrations and instructions are easy to follow and the photography georgeous.It's a great book for all those origami creators...

This book contains some of the best and most functional origami patterns ever developed
In so many ways, origami is the perfect activity for young children. Using only simple movements that even young ones can master at a high enough level, students can create beautiful things. The pot is made even sweeter by the fact that the cost of the raw materials is so low. By practicing first using printer paper, the students can hone their skills before moving on to the development of the finished product.
This book contains some of the best and most functional origami patterns ever developed. The end results are spectacular and the directions are very easy to follow. I am on good terms with the education department at Mount Mercy College and will be showing them this book when classes start this fall.

Published in Journal of Recreational Mathematics, reprinted with permission.

Good for the beginner.
It's a nice book about modular origami, but not so original. I've found some of its diagrams in other books or over the Internet, but here they're detailed and made easy to accomplish. Where the book is original, it's because minimal changes over past work of others. Nonetheless, it's a good compilation, worth buying if you are new to modular origami.
What is a real flaw is that the pics on the book aren't that good. Some are poorly shot. And others have average quality, but the models are badly assembled, greatly because most of the models deal with both sides colored paper, and the author build'em with single side colored ones. That spoils part of the beauty of the origamis.
The good news are that in the coda of the book you can find some mathematical descriptions of paperfolding theory, and some color schemes on how to assemble the polyhedra contained in this book. An overall good book. For the beginner.
... Read more

Product Description
Everything we know about geometry, mathematics, and the organization of matter has, up to now, been demonstrated by cutting into the wholeness of the sphere. By cutting the sphere we have pieces, parts, and fragments; it is no longer Whole. By compressing a sphere to a flat plane nothing is lost, all spatial information is compressed into a flat circle disc that remains Whole. Folding circles decompresses spherical information. All 2-D information is in the creases, 3-D information is replicated in the spatial reconfigurations, while mathematical functions are expressed in the movement of the circle. Generating this information is not possible by drawing circles, only by folding, reforming, and joining circles. Folding circles can generate traditional polygons, polyhedra, and many other beautiful and complex systems that not possible by using any other methods of modeling.Series Book 3 is an expansion of material introduced in both Series Books 1 & 2, bringing together the full octave of possibilities in the 8-frequency diameter grid of the circle. ... Read more