Modern Kusudama Origami Ekaterina Lukasheva 2015-09-21 Discover kusudama, the paper sphere, formed by modular origami construction techniques. The figures created through modular origami are highly symmetric, because they are made from multiple equivalent units or modules. The method of modular origami offers a great flexibility in shapes you can achieve, while keeping the single unit relatively simple/ Modular origami is a great hobby for those who adore origami and construction sets. This guide presents step-by-step instructions for over 30 elaborate modular origami figures that range difficulty from easy stars to intricate kusudamas. The most of the models in this book are brand new and have never been published to the wide audience.
Geometric Folding Algorithms Erik D. Demaine 2007-07-16 Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Classic Polyhedra Origami John Montroll 2010 Presents step-by-step instructions showing paperfolders how to create thirty-three variations on the geometric forms known as polyhedra.
Active Origami Edwin A. Peraza Hernandez 2018-07-12 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.
Geometric Foundations Of Design: Old And New Jay Kappraff 2021-03-05 This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
Mathematical Origami David Mitchell 2020-03 Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. This new second edition extends the selection massively and has been split into two volumes.
Fabulous Modular Origami Tomoko Fuse 2018-09-12 This full-color guide by a modular origami expert presents extraordinary models for folders of all skill levels. Figures include a crown, star, flower, bird, cube, and other models.
Origami for Busy People Marcia Joy Miller 2014-05-20 Make quick and easy origami projects with this origami book with tear-out folding paper. Origami for Busy People is the first origami book for people who love to fold paper for fun and relaxation but have trouble finding the time in their busy day for it. The bright, high-quality folding paper in the book makes it like an origami kit—You won't have to buy new folding paper anytime soon! This origami book contains: 96 page, full-color booklet Introduction and guide to paper folding techniques Step-by-step instructions and diagrams 27 fun-to-do projects 48, two-sided perforated folding sheets Dozens of different colors and patterns These fun folds are a great way to learn origami and can be used to decorate your cubicle, to create something to give to friends and family at the end of the day, to show to colleagues at the water cooler or just to use as conversational ice-breakers or as a form of mental relaxation. The ease of the folds makes it a great origami-for-kids book but the projects are interesting enough for adult beginner origami enthusiasts. Origami projects include Jack-O'Lantern Seahorse Noisemaker Topsy-Turvy And many more…
Zen Origami Maria Sinayskaya 2016-04-15 Find your peace of mind through the art of paper folding! There can be meditative aspect to many craft projects. From doodling complex patterns (Zentangles), to coloring intricate designs, to knitting geometric and elaborate designs, super-involved crafts are being embraced for peace of mind and quietude they offer. Zen Origami brings this trend to the popular art of origami. The repetitive and delicate folds involved in creating modular origami forms are perfect for the mindful movement. These 20 beautiful modular origami projects take time, steadiness of hand, and immersion of thought to complete, offering contemplative sessions that manifest in beautiful pieces of art. This book comes with 400 sheets of origami paper, so you can make more than a dozen modular creations.
Geometric Origami Faye Goldman 2014-04-01 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.
Wondrous One Sheet Origami Meenakshi Mukerji 2019-10-25 Wondrous One Sheet Origami is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter. The book is meant for audiences 12 years of age and above, and children folding at higher than age level. Most of the designs are flat and suitable for mounting on cards or framing as gifts. Features • Richly illustrated full-color book with clear, crisp diagrams following international standard, and an abundance of photographs of finished models • Select designs hand-picked by the author based on social media responses • Most of the designs incorporate color-change, a technique showing both sides of paper for enhanced beauty "Meenakshi Mukerji'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." –Dr. Robert J. Lang "Meenakshi Mukerji is one of today's masters of modular origami, designs comprised of multiple pieces of paper. She also brings her ingenuity and creativity to designs made from a single piece of paper. Among the most appealing aspects of her single sheet work is the way she subtly manipulates a purely geometric form to fold a flower, a leaf, a butterfly, or card suits." –Peter Engel
Modular Origami Polyhedra Lewis Simon 2012-03-08 Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!
Beginner's Book of Modular Origami Polyhedra Rona Gurkewitz 2012-03-07 This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models.
Action Modular Origami Tung Ken Lam 2018-06 This book by a long-time creator will appeal to enthusiasts of mathematics and puzzles as well as fans of modular origami. Over 30 elegant projects are absorbing to make and rewarding to assemble - without glue or scissors. When finished, the projects have a bonus feature: they move, spin or change shape in unique and fascinating ways.
3-D Geometric Origami Rona Gurkewitz 2012-07-16 Innovative, challenging book provides instructions, diagrams for creating polyhedra models — from the relatively simple tetrahedron to the mind-boggling truncated hexadecahedron.
Origami Inspirations Meenakshi Mukerji 2010-08-18 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.
The Dollar Bill Origami Book Janessa Munt 2016-09-06 Transform everyday money into gorgeous art with these original origami designs. Take your regular origami hobby to the next level with dollar bill origami—the art of folding beautiful designs with the humble dollar bill. The unique size, shape, texture, and pattern of dollar bills provide a world of possibilities to create bigger and better models you’ve never seen before! Origami artist Janessa Munt provides 30 of her very own dollar bill origami designs, each of them intricate, highly unique, and full of personality. Learn how to fold a single uncut dollar bill into a rose or create a model of a shark complete with eyes and teeth from the patterns on the dollar bill. Master your money and put together other models such as a curious bulldog, a tyrannosaurs rex mid-roar, a Thanksgiving turkey, a mermaid, Capricorn the goat, and many more! Each model is accompanied by clear and concise step-by-step diagrams as well as full color photographs of particular steps. With models categorized according to difficulty, there is something for readers of every skill level, whether you are a beginner, intermediate, or advanced folder. Throw yourself into a new hobby, impress your friends, and turn that spare dollar bill in your pocket into a whimsical, stunning work of art.
Origami Polyhedra Design John Montroll 2009-10-26 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.
Mind-Blowing Modular Origami Byriah Loper 2016-10-11 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!
Exquisite Modular Origami II Meenakshi Mukerji 2015-10-15 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 for more ideas and color photos.
A Plethora of Polyhedra in Origami John Montroll 2002-01-01 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.
Compound Polyhedra Fergus Currie 2021-10-11 A book of ten geometric models of advanced modular origami designed by Fergus Currie with full instructions and diagrams on how to make the following: 1. Compound of Cube and Octahedron 2. Compound of Icosahedron and Dodecahedron 3. The Small Triambic Icosahedron 4. Compound of Small Triambic Icosahedron and Dodechedron 5. Left Pentagonal Icosatetrahedron 6. Compound of Left and Right Pentagonal Icosatetrahedra 7. Compound of Three Cubes 8. Compound of Three Tetrahedra 9. Compound of Five Octahedra 10. Wire-frame model of Compound of Two Tetrahedra It also includes an introduction with sections on the mathematics behind the models; a short history of modular origami; a section on tools and folding techniques, and a gallery of the finished models that are presented in the book.
Extreme Origami Kunihiko Kasahara 2002 Using new materials, forms, and folding and design techniques, this book presents projects from an arching form of curves and folds called "Before the Big Bang" to forms derived from super pinwheel-cube modules.
Origami Fold-by-Fold John Montroll 2020-07-15 New collection of 35 original models by the origami master ranges from simple (ladybug, angelfish, sailboat) to complex (grasshopper, wooly mammoth), with a crane, lion, peacock, and several geometric shapes in between.
3D Origami Platonic Solids & More John Montroll 2018-07-20 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.
The Art of Folding Jean-Charles Trebbi 2015-09-01 Beginning with the simplest possible form, The Art of Folding addresses all major folding techniques, showing how they are related and giving examples of both traditional and modern variations.
Beginner's Book of Modular Origami Polyhedra Rona Gurkewitz 2008-06-11 Presents instructions for seventeen projects involving the platonic solids, including the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.
Making Math Meaningful Jamie York 2011
Natural Origami Joseph Hwang 2020-09 15 animal models by origami artist Joseph Hwang.
Project Origami Thomas Hull 2012-12-21 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.
Amazing Origami Kunihiko Kasahara 2002 Explains the mathematical principles behind origami; introduces simple ways to divide segments, angles, and areas into equal parts; and offers instructions for projects.
Polyhedron Origami for Beginners Miyuki Kawamura 2002-04-30 Polyhedron Origami For Beginners is a Japan Publications publication.
Getting Started with MakerBot Bre Pettis 2012-12-10 Ready to join the personal fabrication movement? This hands-on book shows you how to make a wide variety of physical objects with the amazing MakerBot 3D printer. It’s handy when you need a replacement for something lost, broken, or no longer made—like a knob on your stove. You can make things instead of buying them, or solve problems with inventions of your own. The possibilities are endless, and MakerBot is the fun, affordable, and inspiring way to go. Get started with your own little factory today! Set up your MakerBot Replicator 2 and understand how it works Learn the basics and print 10 useful objects right away Make objects with sturdy yet biodegradable PLA Get examples of real-world problem solving, from ceiling hooks to hermit crab shells Choose from thousands of free designs on—and share your own Repurpose disposable products by making them part of your design Design your own 3D objects, using SketchUp, Autodesk 123D, OpenSCAD, and other tools Use 3D scanning technology to replicate real objects around you
Unit Polyhedoron Origami Tomoko Fuse 2006 Contains step-by-step, illustrated instructions for completing a variety of multidimensional origami projects.
Kusudama Origami Ekaterina Lukasheva 2014-02-20 "A kusudama is a traditional Japanese sphere formed by modular origami construction techniques. This guide presents instructions for more than forty elaborate kusudama that range in shape from stars to flowers to pinwheels. Suitable for intermediate-level and experienced folders of all ages"--
Structural DNA Nanotechnology
Mind-Blowing Paper Puzzles Ebook Haruki Nakamura 2019-10-15 Channel your inner M.C. Escher with these brain teaser puzzles! These easily assembled 3D puzzles are each composed of many identical pieces that cleverly fit together to become a larger geometric form. Noted Japanese papercraft designer Haruki Nakamura created this wonderful collection of interlocking puzzles to intrigue and delight papercraft, puzzle and geometry enthusiasts alike. These endlessly entertaining paper puzzles are impossible to put down. They include the following models: Dodecahedron Bears and Frogs—cute animal "couples" that form a 12-faced geodesic sphere when fitted together. Bird and Fish modules that dovetail together to create a seamless 3D form in a nod to Escher's Sky and Water woodcut. With the addition of some small craft magnets to its joined irregular octahedrons, a Reversible Dodecahedron that dramatically inverts itself when tossed into the air! An intricate Pyramid Box that conceals a secret inner chamber that is perfect for presenting a small gift to that special someone. The challenging 4-Piece Tetrahedron and 12-Lizard Cube provide a tremendous feeling of satisfaction once all of the pieces finally align into place. Plus many more! The step-by-step instructions are very easy to follow and show you how to assemble the individual paper components, then how to put them together to create the larger interlocking models. The template of each piece is available to print, so get out some cardstock and your X-Acto knife and start cutting! Then simply bend or fold where indicated, and bind together with a little glue. Each project is a new challenge, and the finished objects are great conversation pieces that look fantastic on your desk or shelf!
Marvelous Modular Origami Meenakshi Mukerji 2020-03-27 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
Origami Ornaments Lew Rozelle 2000-11-11 Based on the design of traditional Japanese Kusudama ceremonial spheres, Origami Ornaments offers step-by-step instructions on how to create colorful paper folding decorations--from disco balls and unique cubes to lovely globe and lantern shapes--while remaining true to origami purist standards. Featuring four basic model designs--base, joiner, clip, and hinge--that can create limitless, unique ornaments, this orgiami book offers do-it-yourself designs small enough to hang on a Christmas tree or large enough to hold aromatic potpourri. As the ornaments rest they will open gently, like flowers, but still not come apart. Additional instructions for incorporating strings and tassels, as well as suggestions for utilizing different wrapping paper colors and patterns, will make these original ornaments dazzle. Origami Ornaments is the perfect book for holiday crafters and origami enthusiasts alike.
The Complete Book of Origami Polyhedra Tomoko Fuse 2021-08-24 Learn to fold incredible geometric origami models from "The Queen of Modular Origami!" In this book, Tomoko Fuse—Japan's most famous living origami artist—shows you how to create amazing polyhedral models using the techniques of modular origami (where many paper sheets are folded then locked together without glue or tape). Make 64 intriguing modular models, including: Stackable Modules—The perfect starting point for novices, these simple constructions result in stunning three-dimensional forms 3-D Stars—Dazzling decorative starbursts that look great on a Christmas tree, on your mantle—or even in an art gallery Manifold Modulars—"Inception-like" models in which individual modular constructions themselves become modules within a larger piece Cubes and Boxes—Perfect for gift giving—and there is no finer teacher for these than renowned origami box specialist Tomoko Fuse And many more! *Recommended for experienced folders and up*

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