Origami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding real-world applications from building nano-scale robots to deploying large solar arrays in space. Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It brings together historical results, modern developments, and future directions into a cohesive whole. Over 180 figures illustrate the constructions described while numerous 'diversions' provide jumping-off points for readers to deepen their understanding. This book is an essential reference for researchers of origami mathematics and its applications in physics, engineering, and design. Educators, students, and enthusiasts will also find much to enjoy in this fascinating account of the mathematics of folding.

In this follow-up to his first book, Folding Polyhedra, Alexander Heinz introduces eight more paper folding models. Most of these models are easy to assemble from a combination of folded triangles, squares, pentagons, and hexagons which are assembled in a symmetrical modular way, allowing you to create more than 60 forms by using and combining the different folded paper models. The models presented in this book use a mathematical geometric folding technique that Alexander Heinz developed himself. The models all have the same edge length, allowing every one of them to fit together edge-to-edge and corner-to-corner and making folding and combining the models easy. The projects are for all ages! They look very complex but are actually very simple to make. Once you've mastered the models and learned to assemble the forms, use these techniques to create your own unique and colourful paper sculptures and ornamental designs.

This origami paper pack contains 48 high-quality origami papers printed with colorful Chiyogami patterns. These exciting traditional Japanese paper patterns were developed to enhance the creative work of origami artists and paper crafters. The pack contains 8 different designs unique to this pack, and all of the papers are printed in coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back of the sheets. This origami paper pack includes: 48 sheets of high-quality origami paper 8 unique designs 6 sheets of paper for each design Vibrant and bright colors Double-sided color 6.75 x 6.75 inch (17 cm) squares Instructions for 6 easy origami projects

Japanese origami expert Hisao Fukui shows you how to create incredibly realistic paper birds and flying insects, a winged dinosaur and even an undulating Chinese dragon! The easy-to-follow folding instructions and photos in this book present 24 challenging and amazingly lifelike models--from intermediate to complex in terms of their level of difficulty. The 24 unique models in this book include: The Swan--The multilayered wings and body give this familiar model a major three-dimensional upgrade The Crane--Far from traditional, this crane rests on its built-in platform, and has an optional open wing configuration that can double as a fancy box Peacocks--One with tail feathers stowed neatly behind, and another with its tail fan proudly displayed The Swallow--Its distinctive bifurcated tail is on display in a kinetic diving pose The Crested Kingfisher--The artfully modeled eye of this hunter appears to be on the lookout for its next meal Stink Bug--there's nothing foul about this instantly recognizable shield-shaped insect model Beetles--A Horned Beetle with unfurled wings and a Rhinoceros Beetle with an intimidating spiky head Flying Chinese Dragon--Segmented and supple, this ancient symbol of power and good fortune is poised to pounce The Dragonfly--This incredibly detailed form is the most challenging model here, but the spectacular results are well worth the effort And many more!

This paper pack contains 100 high-quality, large (8.25 inch) origami sheets printed with beautiful colors from the rainbow on one side with coordinating colors on back. This origami paper pack includes: 100 sheets of high-quality origami paper 12 unique color combinations Double-sided color 8.25 x 8.25 inch (21 cm) squares Step-by-step instructions for 6 easy-to-fold origami projects. These colorful origami papers were developed to enhance the creative work of origami artists and paper crafters. The pack contains 12 unique color combinations, with coordinating colors printed on both sides provide aesthetically pleasing combinations in origami models that show both the front and back. Warm up your origami skills with included instructions for 5 classic origami models: Butterfly Cat Head Bat Swordfish Seahorse

Dive under the sea with these realistic marine origami models! In Fantastic Origami Sea Creatures, Japanese origami expert Hisao Fukui shows you how to create incredibly detailed aquatic wildlife, including a giant squid, prehistoric creatures and even a massive blue whale calf! The step-by-step folding instructions and photos in this book present 20 challenging and amazingly lifelike models -- from intermediate to complex in terms of their level of difficulty. The 20 projects in this book include: The Penguin -- A color-change model capturing the awkward and slightly comical appearance of these flightless aquatic birds The Polar Bear -- A menacing hunter who will hungrily stalk the edge of your desk or bookshelf The Goldfish -- This model features elegant lines and clever folding solutions -- and it's difficult to overfeed, to boot! The Crocodile -- A lurking hunter which is ideal for showcasing special papers The Crab -- With all of the legs to define, this model is a challenging one, but with fewer pinch folds than you might expect The Manta Ray -- A graceful and gentle filter feeder whose sweeping wings give you the opportunity to create a truly expressive paper sculpture And many more!

Make a difference in Ukraine and start folding with this beautiful sunflower paper today! A portion of the sales are donated in support of World Central Kitchen's humanitarian efforts in Ukraine This paper pack contains 100 high-quality origami sheets printed in colorful Sunflower Patterns with coordinating Yellow and Blues on the back-- to inspire Peace Cranes for Ukraine. In Japanese tradition it is said that those who fold 1,000 origami cranes will have their wish of peace granted. We hope for peace in Ukraine, and encourage you to start folding your own sunflower peace cranes for Ukraine today! This origami paper pack includes: 100 sheets of high-quality origami paper 12 Beautiful sunflower patterns, in Ukranian yellow and blues Vibrant and bright colors Double-sided color 6 x 6 inch (15 cm) squares Instructions for 5 simple origami projects About World Central Kitchen: World Central Kitchen is first to the frontlines, providing meals in response to humanitarian, climate, and community crises. They build resilient food systems with locally led solutions, and have created a new model for disaster relief helping devastated communities recover and establish resilient food systems. Over 170 million meals served across eight countries: Across Ukraine, WCK is bringing hundreds of thousands of daily meals and pounds of food to over 8,000 distribution sites. With your purchase of this beautiful paper pack you are also bringing food to a country in need!

Each book contains everything you need to make your own 3D mask for some of the most famous creatures or sigils from the Game of Thrones TV series, viz. Lannister Lion (Hear Me Roar), Stark Direwolf (Winter is Coming), Targaryen Dragon (Fire and Blood) and White Walker (From Beyond the Wall). The masks have been designed to replicate the features of these creatures of this hugely popular show and, once assembled, they fully cover the face and head. These impressive masks can be worn, used as an addition for a costume party, or simply hung on the wall with a dedicated paper-engineered trophy hanger that is part of the package. Each book contains details of the House, including motto, sigil and/or other key information. Full instructions are included on how to assemble the relevant mask.

Origami paper with stunning Japanese traditional prints and fun and simple folding instructions! Amazing Origami Kit is designed for origami paper folders of all ages and all skill levels-from novices up to more experienced folders. It provides everything you need to create exciting and original origami art. The gorgeous folding papers feature delicate patterns with gold detailing, recalling the one-of-a-kind traditional designs used in the Japanese kimono fabrics from a bygone era. This origami kit contains: A full-colored 64-page booklet Clear step-by-step instruction and diagrams 17 fun-to-do projects 144 high-quality origami folding sheets 2-sided, full-color folding paper 13 custom paper designs 6 3/4 X 6 3/4 size paper The sturdy box doubles as a display pedestal. One of the pleasing aspects of origami is its simplicity. The paper folder needs nothing more than something to fold-no glue, no tape, no string or wire-just a piece of paper! Though the materials are simple, origami exemplifies the ability of the human mind to solve problems and create a beautiful harmony. Origami is relaxing and peaceful, but it is also fun and exciting to discover new ways to fold paper. With Amazing Origami's simple instructions, origami beginners will be able to get started immediately. With the beautiful, Japanese origami paper, experienced paper folders can create unique origami art. Origami projects include: Luna Moth Tortoise Carp Leaf Peacock Butterfly Koi Chinese Pinwheel And many much...

Do you dream of exploring outer space? Then get ready for adventure with Easy Space Origami. With a few simple folds youll make a moon lander, a shining star, a green Martian, and so much more. Grab some paper and start folding!

Papercutting is a perfect craft for beginners, as you can achieve amazing results with the most basic of materials - a pencil, eraser, craft knife or scalpel, a piece of paper and a cutting surface. Sarah King's art encapsulates the beauty of the English countryside, particularly the towns and villages around the Kent coast where she lives. Her use of fresh, vibrant colours and delightful compositions evoke memories of happy times, and expert papercrafters as well as those new to papercutting will find the charming, naive style of Sarah's work irresistible. Sarah's down-to-earth approach to her art makes it enjoyable and accessible to all. In the book she includes sections on choosing your materials and colours, and there is step-by-step guidance through all the basic techniques you need before embarking on the twelve gorgeous projects on the seaside, town life, the wilderness, and more.

This value-packed origami kit provides hours of fun for folders of all ages and skill levels! Create colorful origami animals, insects, boats, flowers and other unique paper projects. This kit literally has something for everyone! Get busy folding paper animals (like a skunk, swordfish and husky puppy); 3D objects (a Japanese house, chopstick rest and pinwheel); money origami projects (heart, turtle, tulip); and much more! All of the models are valuable keepsakes you can give as gifts or use to decorate your bedroom or desk. This kit includes a 64-page book with 60 projects, plus 114 origami sheets in 4 sizes: 24 6.75-inch sheets in 4 patterns and colors 36 6-inch sheets in 4 patterns and colors 40 4-inch sheets in 4 patterns and colors 12 practice dollar bills 2 6-inch sheets of gold foil

Become a true aviator by making your very own paper airplanes based on world record-holding designs! Paper airplane expert Andrew Dewar presents this new collection of 16 original high-performance paper airplane. These model planes are incredibly easy to fold, and designed to push the envelope in terms of time aloft and distance thrown--based on principles exploited by record-breaking paper airplane experts such as Ken Blackburn, Michael Collins and Takuo Toda. The book opens with the history of paper airplane record-setters, followed by a fascinating introduction to flight and aerodynamics for kids. By learning about the engineering properties that affect the duration and distance of their flights, they'll have fun coaxing better and better performances out of these optimized designs. The sky is the limit once they understand how planes actually work! Some of the high-tech projects include: A colorful Condor A futuristic Strato Taxi A speedy Delta Dart And many more! Each paper plane has simple folding instructions and corresponding custom folding papers with folding lines printed right on the sheets. Each plane can be folded up in just a few moments, so kids can start shattering records of their own right away! This paper airplanes kit includes: A full-color, 64-page book Easy, step-by-step instructions 16 unique designs 48 full-color airplane folding sheets

This paper pack contains 500 high-quality, small 4-inch origami sheets printed with colorful and traditional Japanese blue & white designs. These paper designs were developed to enhance the creative work of origami artists and paper crafters. The pack contains 12 designs unique to this pack, and all of the papers are printed with coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back of the papers. This origami paper pack includes: 500 sheets of high-quality origami paper 12 unique designs Vibrant and bright colors Double-sided color 4 x 4 inch (10 cm) squares

Make colorful and fun origami animals with this easy origami kit. Frogs, butterflies, seals and dogs are just a few of the gorgeous origami animals you can create with this paper craft origami kit. From world-renowned origami artist, Michael LaFosse comes this essential collection of animal paper craft projects. The origami kit contains: Full-colored 64-page origami book Clear, step-by-step diagrams and instructions 21 fun origami projects 98 sheets of 6x6 inch, high-quality origami paper Wide array of colors and patterns Two sheets of dazzling gold foil Origami Animals Kit provides you this stunning collection of origami projects that will have you creating a zoo in no time! Origami animal projects include: Owl Duck Husky Pup Fox Mask Skunk And much more... Perfect for folders of all skill levels, Origami Animals Kit is the affordable, easy-to-follow solution for everything needed to get started on traditional animal origami designs, as well as new twists on old favorites. This unique collection of origami designs will help you create folded paper models of animals from around the world. Use it to craft eye-catching origami for your friends, to beautify your home--or as a thoughtful gift for animal lovers. All of the folds are simple enough to be origami-for-kids projects and are a great way to learn origami. The origami paper in the kit already has colors, so no paint or glue is required, just unpack and start folding right away!

Make colorful and fun origami dinosaurs with this easy origami kit. Origami Dinosaurs Kit is a unique collection of origami paper craft designs that help create models of awesome prehistoric creatures. Brachiosaurus, Dimetrodon and a whole handful of lifelike dinos are brought to life with a few easy paper folds. World-renowned origami artist and author Michael LaFosse designed these visually striking models for paper folders of all levels of skill including origami beginners. Use it to craft eye-catching origami for your friends, to beautify your home--or as an enjoyable gift for dinosaur lovers. All of the folds are simple enough to be origami-for-kids projects and are a great way to learn origami. The origami paper in the kit already has printed patterns, so no paint or glue is required, just unpack and start folding right away! The origami kit contains: 2 full-colored, 32-page origami books Clear step-by-step instructions Easy-to-follow diagrams 20 simple origami dino projects 98 sheets of high quality, double-sided origami paper 2 bonus sheets of metallic folding papers A variety of different colors and patterns Craft these eye-catching origami for yourself, or share it as a gift for kids fascinated by dinosaurs. Origami projects include: Tyrannosaurus Rex Stegosaurus Velociraptor Simplesaurus Eryops And much more...

This paper pack contains 96 high-quality, 6-inch origami sheets printed with fun and festive balloon patterns. These vibrant origami papers were developed to enhance the creative work of origami artists and paper crafters. The pack contains 8 unique patterns, and all of the papers are printed with coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back. The slight gloss helps to ensure sharp, sturdy creases when folding. This origami paper pack includes: 96 sheets of origami paper 8 unique patterns Vibrant and bright colors Double-sided color 6 x 6 inch (15 cm) squares Step-by-step instructions for 6 easy-to-fold origami projects Perfect for gift giving or celebration decorations, these balloon prints will be the life of the party!

The connections between origami, mathematics, science, technology, and education have been a topic of considerable interest now for several decades. While many individuals have happened upon discrete connections among these fields during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other through a series of conferences exploring the links between origami and "the outside world." The Fourth International Meeting on Origami in Science, Mathematics, and Education (4OSME), held in September, 2006, at the California Institute of Technology in Pasadena, California, brought together an unprecedented number of researchers presenting on topics ranging from mathematics, to technology, to educational uses of origami, to fine art, and to computer programs for the design of origami. Selected papers based on talks presented at that conference make up the book you hold in your hands.

This pack contains 500 high-quality origami sheets printed with fun and funky Tie-Dye Patterns. These colorful paper patterns were developed to enhance the creative work of origami artists and paper crafters. The pack contains 12 designs unique to this pack, and all of the papers are printed with coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back of the papers. This origami paper pack includes: 500 sheets of high-quality origami paper 12 unique designs Vibrant and bright colors Double-sided color 6 x 6 inch (15 cm) squares Instructions for 6 easy origami projects

This pack contains 200 high-quality origami sheets printed with fun and vibrant Blue & White Patterns. These paper patterns were developed to enhance the creative work of origami artists and paper crafters. The pack contains 12 designs unique to this pack, and all of the papers are printed with coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back of the papers. This origami paper pack includes: 200 sheets of high-quality origami paper 12 unique designs Vibrant and bright colors Double-sided color 6 x 6 inch (15 cm) squares Instructions for 6 easy origami projects

This pack contains 100 high-quality origami sheets printed with colorful and attractive Dog Designs. These illustrations were chosen to enhance the creative work of origami artists and paper crafters. The pack contains 12 patterns unique to this pack, and all of the papers are printed in coordinating colors on the reverse to provide aesthetically pleasing combinations in origami models that show both the front and back of the papers. A booklet in the pack provides instructions for 6 projects.