Search results for: origami-polyhedra-design

Origami Polyhedra Design

Author : John Montroll
File Size : 25.25 MB
Format : PDF, Docs
Download : 645
Read : 1265
Download »
This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

Origami Polyhedra Design

Author : John Montroll
File Size : 70.19 MB
Format : PDF
Download : 548
Read : 461
Download »
"In this book, well-known origami artist and prolific author John Montroll provides a wealth of origami folding instructions for beautiful three-dimensional geometric shapes. He goes beyond the average origami book and describes design techniques and mathematical methods behind the creation of these models, all of which are folded from a single, square, uncut sheet of paper. Practicing with Montroll's models and then following his suggestions and techniques will inspire you to design your own origami polyhedra!" --Book Jacket.

A Constellation of Origami Polyhedra

Author : John Montroll
File Size : 36.28 MB
Format : PDF, ePub
Download : 427
Read : 417
Download »
From the simple Triangular Diamond and the Tower to the more advanced Cuboctahedron and the magnificent Stella Octangular, 30 multifaceted marvels will not only challenge devotees of the ancient Japanese art of paperfolding but will also appeal to students and others interested in math and geometry.

Classic Polyhedra Origami

Author : John Montroll
File Size : 50.12 MB
Format : PDF, Docs
Download : 352
Read : 314
Download »
Presents step-by-step instructions showing paperfolders how to create thirty-three variations on the geometric forms known as polyhedra.

The Complete Book of Origami Polyhedra 64 Ingeniouse Geometric Paper Models

Author : Tomoko Fuse
File Size : 83.15 MB
Format : PDF, Docs
Download : 726
Read : 1330
Download »

A Plethora of Polyhedra in Origami

Author : John Montroll
File Size : 37.93 MB
Format : PDF, Kindle
Download : 391
Read : 604
Download »
Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.

Geometric Folding Algorithms

Author : Erik D. Demaine
File Size : 88.74 MB
Format : PDF, Docs
Download : 455
Read : 1298
Download »
How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht Dürer in the early 1500s, but have only recently been studied in the mathematical literature. Over the past decade, there has been a surge of interest in these problems, with applications ranging from robotics to protein folding. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane that can sign a name or trace any other algebraic curve. One remarkable algorithm shows you can fold any straight-line drawing on paper so that the complete drawing can be cut out with one straight scissors cut. Aimed primarily at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.

Origami 5

Author : Patsy Wang-Iverson
File Size : 71.42 MB
Format : PDF, Mobi
Download : 497
Read : 779
Download »
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.

Multimodular Origami Polyhedra

Author : Rona Gurkewitz
File Size : 88.70 MB
Format : PDF, ePub, Docs
Download : 689
Read : 319
Download »
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.

Modular Origami Polyhedra

Author : Lewis Simon
File Size : 22.11 MB
Format : PDF, ePub, Docs
Download : 703
Read : 608
Download »
Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!

Marvelous Modular Origami

Author : Meenakshi Mukerji
File Size : 47.53 MB
Format : PDF, ePub, Mobi
Download : 377
Read : 1152
Download »
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

Ornamental Origami

Author : Meenakshi Mukerji
File Size : 69.38 MB
Format : PDF, Docs
Download : 359
Read : 402
Download »
This book is a great resource for people who enjoy polyhedra, symmetry, geometry, mathematics and origami. The types of models presented are similar in nature to the models in Mukerji's Marvelous Modular Origami, but some of the chapters are more advanced and all of the designs are new. The reader can learn about polyhedra while making these models and is left with the ability to design one's own models. Step-by-step folding instructions for over 40 models are presented. Although the book is for intermediate folders, beginners are encouraged to try because origami basics are explained. The diagrams are easy to follow and each model is accompanied by breathtaking finished model photographs.

3D Origami Platonic Solids More

Author : John Montroll
File Size : 25.38 MB
Format : PDF, Docs
Download : 202
Read : 919
Download »
Polyhedra are incredibly beautiful shapes. Illustrated step-by-step diagrams show how to fold a collection of around 30 models including the five Platonic Solids, sunken versions of each, models with color patterns, variations on Archimedean Solids, and more. Each model is folded from a single uncut square. They range from simple to complex.

Origami 3

Author : Thomas Hull
File Size : 42.88 MB
Format : PDF
Download : 263
Read : 174
Download »
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.

Exquisite Modular Origami

Author : Meenakshi Mukerji
File Size : 39.75 MB
Format : PDF, ePub, Mobi
Download : 845
Read : 851
Download »
This is a step by step how-to book for making modular origami models based on polyhedra. You will be amazed that these stunning models are made out of something as ordinary paper. Author Meenakshi Mukerji is the winner of Origami USA's 2005 Florence Temko Award. You are bound to love this book if you love origami, polyhedra, symmetry, geometry, and mathematics. Or you will simply love it. The models presented here are proven favorites, the diagrams having been wanted by fans worldwide. Expect hours of enjoyment folding over a dozen models and learn about polyhedra while you enjoy. Remember to visit the author's popular origami website, http://www.origamee.net. Some praise for her previous books in the same subject, Marvelous Modular Origami (2007), Ornamental Origami: Exploring 3D Geometric Designs (2009), and Origami Inspirations (2010) is below:“Meenakshi's work is both intricate and lovely. She's greatly respected in the origami world, one of the well-known world leaders in modular origami. Her books offer a nice exposition of the mathematical elements, but you're not being hit over the head with math lessons. You learn things without even realizing that you have.” —Robert Lang, world's leading origami artist“A whole book [Origami Inspirations] full of amazingly attractive new modular pieces, highly recommended to all modular folders and those wanting to dabble in this pastime. High standard of diagramming and model novelty applied throughout.”—David Petty, British Origami Society“Mukerji presents yet another colorfully illustrated book, Origami Inspirations, showing in clear diagrams how to make complex three-dimensional figures by folding paper.”—SciTech Book News“Ornamental Origami is a wonderful book for both math and origami lovers alike. The author provides, clear descriptions and beautiful photographs.”—MAA Reviews“Ornamental Origami is essentially a study of polyhedra but in a way that brings out the symmetry in subtle ways. It builds up very complicated results from simple modules so that even a beginner in origami can follow and learn about polyhedral symmetry by assembling them. It should definitely find a place in school teaching or mathematics clubs.”—John Sharp, The London Mathematical Society Newsletter

Active Origami

Author : Edwin A. Peraza Hernandez
File Size : 44.9 MB
Format : PDF, Mobi
Download : 565
Read : 1273
Download »
Origami structures have the ability to be easily fabricated from planar forms, enable the deployment of large structures from small volumes, and are potentially reconfigurable. These characteristics have led to an increased interest in theoretical and computational origami among engineers from across the world. In this book, the principles of origami, active materials, and solid mechanics are combined to present a full theory for origami structures. The focus is on origami structures morphed via active material actuation and formed from sheets of finite thickness. The detailed theoretical derivations and examples make this an ideal book for engineers and advanced students who aim to use origami principles to develop new applications in their field.

Exquisite Modular Origami II

Author : Meenakshi Mukerji
File Size : 50.82 MB
Format : PDF, ePub
Download : 504
Read : 1044
Download »
This is a step by step how-to book for making modular origami models based on polyhedra. It seems like there are myriad modular origami designs out there these days; anything that joins goes. However, in this book, Meenakshi Mukerji's sixth, she still has much more to offer, with the designs presented some of her best yet. After a successful Exquisite Modular Origami, this second volume is a natural follow up. Handpicked by the author, the models are not only beautiful, but have been subjected to rigorous design criteria such as sturdiness of the locking mechanism, easy starting paper proportions, mostly squares, and absence of inserts or separate joining units. The aesthetic appeal lies in clean well defined lines. The designs are all-new and like before, works of three new, very creative guest artists have been included as well. In grayscale, the book is practically a bargain because it is as effective as folding from a color book. Color photos of most designs are on the cover for your viewing pleasure. Just when you think you are running out of satisfying modular origami to fold, here now you have dozens more exciting new ones to enjoy. Do visit the author's popular website www.origamee.net for more ideas and color photos.

African Animals in Origami

Author : John Montroll
File Size : 80.63 MB
Format : PDF, ePub
Download : 846
Read : 1318
Download »
Over 1,200 clear and easy-to-follow diagrams guide paper folders step-by-step in the creation of 24 African animals: lion, elephant, crocodile, gorilla, rhinoceros, gazelle, flamingo, and more. Projects range from simple to complex, making this collection ideal for both beginners and advanced origamists. 1,230 black-and-white illustrations.

Mathematical Origami

Author : David Mitchell
File Size : 60.79 MB
Format : PDF, ePub, Docs
Download : 788
Read : 838
Download »
This book shows the reader how to make a range of robust polyhedra from ordinary printer paper using a technique known as modular origami. Modular origami designs are made by first folding several, or sometimes many, sheets of paper into simple individual modules and then by putting these modules together, normally without the help of any kind of adhesive, to create a finished polyhedral form. Modular origami design has moved on since the hugely popular first edition which has been expanded and revised to present both a wider range of designs, and to introduce new designs which are more robust and offer more potential for mathematical adventures. Ideal for the classroom and fun for any enthusiast of either origami, or mathematics. David Mitchell gives clear step-by-step instructions.

Origami Kit For Dummies

Author : Nick Robinson
File Size : 80.44 MB
Format : PDF, Docs
Download : 476
Read : 258
Download »
Origami Kit For Dummies gives you all the material you need to get started in origami. Included in the kit is an expert guide book to origami, covering the different bases and techniques you need to create a huge variety of models. Illustrations and detailed instructions show you how to make 75 unique models, such as a frog, a settee, fantastic geometric shapes and even a festive Santa! There are also 25 sheets of 5x5" origami paper in five fun colours. So get folding, and show off your creations in style! Discover How To: * Get prepared to start folding * Understand the international language of origami * Fold all the basic bases * Source your paper * Design creations and draw your own diagrams About the author Nick Robinson is a professional origami artist, and has been "folding paper" for 25 years. He has been a member of the British Origami Society for over 20 years, and currently he edits their magazine, as well as maintaining their website.