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Trash Origami: 25 Paper Folding Projects Reusing Everyday Materials: Origami Book with 25 Fun Projects and Instructional DVD

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Trash Origami: 25 Paper Folding Projects Reusing Everyday Materials: Origami Book with 25 Fun Projects and Instructional DVD [LaFosse, Michael G., Alexander, Richard L.] on Amazon.com. *FREE* shipping on qualifying offers. Trash Origami: 25 Paper Folding Projects Reusing Everyday Materials: Origami Book with 25 Fun Projects and Instructional DVD

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Robert Lang: The math and magic of origami

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Beautiful stock photography featuring origami that you can use for absolutely anything – for free! Here are some of our favourite stock images that feature origami, they are beautiful shots, and to download the highest file-size, please do so at Unsplash using the links. Unsplash is a free to use li…

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Every day school children visit the monument for the child victims of Hiroshima adorned with a statue of Sadako Sasaki holding up an origami crane. The museum receives millions of paper cranes from around the world. Photograph By Ari Beser.
Hiroshima, JAPAN-Origami, the Japanese art of folding paper, often conjures images of paper cranes, or orizuru in Japanese. I began to wonder, where does this fabled art form originate, and why are paper cranes regarded as a symbol of peace?

After some digging, I discovered that paper folding was reserved for ceremonies around the 6 th century A.D., since the paper came from China and was expensive for commoners. Folded paper butterfly figures were first used in Japan to decorate sake cups at weddings, and paper was folded in Shinto shrines for good luck. Decorative figures of paper cranes began showing up on ceremonial kimonos as far back as the 16th century.

The use of paper became widespread worldwide by the 20 th century. Origami as we know it was popularized and taught in Japanese schools in art class, and has since evolved as a childhood pastime.

In Japanese lore, the crane-a type of large, migratory bird-was thought to live for 1,000 years, and the animals are held in the highest regard.

The 1797 book Sen Bazuru Orikake, which translates to "how to fold 1,000 paper cranes," contains instructions for how to make these special objects.

But it doesn't talk about the legends. In every resource I found, the story of Sadako Sasaki was the reason why it became popular to fold them and make a wish.
Sadako pictured with her father on July 18, 1955, shortly before she died of leukemia, a result of exposure to the atomic bomb's ionizing radiation on August 6, 1945. Photograph courtesy of Yuji Sasaki.
Sadako survived the Hiroshima bomb when she was only two years old, but by 1950 she had swollen glands. Officials at the Atomic Bomb Causality Commission, set up by the U.S. government in post-war Japan to examine Hiroshima's citizens for health effects of the atomic bomb, recommended that she go to the hospital. She was diagnosed with leukemia, a cancer of the bone marrow, and died in 1955.

"How did Sadako become the girl who folded 1,000 paper cranes?" I recently asked her brother, Masahiro Sasaki, who lives in Fukuoka and is co-founder of the NPO Sadako Legacy, the organization that carries on the message of Sadako Sasaki.

"She let out both the pain of our parents and her own suffering with each crane. She hid her suffering and was very tolerant of the pain. She didn't want anyone to worry. She didn't complain to her friends or to us. Her spirit encouraged others around her to speak of her bravery," Sasaki told me.

"If it were me, I wouldn't have been able to stand the pain, but I'm not Sadako."
Cranes that Sadako made rest in the Hiroshima Peace Memorial Museum. Her family donated over a hundred of them to the museum, which has agreed to give them back to her family one crane at a time. Photograph by Ari Beser
In 2007, Sadako Legacy began donating Sadako's paper cranes around the world to places in need of healing.

They started with the National September 11 Memorial and Museum in New York City. Twenty-four Japanese citizens were killed in the attack on the World Trade Center, and it got back to Sadako's family that people were leaving paper cranes at the fence near Ground Zero.

Museum staff added the cranes to the memorial, including thousands donated by Japanese students. Moved by this, Sasaki decided to donate one of Sadako's cranes, which was unveiled at the museum in 2010.

In attendance was Clifton Truman Daniel, the grandson of U.S. President Harry S. Truman, who ordered the 1945 atomic bombings. Sasaki, carrying the last crane Sadako ever folded in a box, placed it in Daniel's hand and asked him if he would help them send a message of peace.

In addition to the September 11 memorial, Sadako Legacy has donated a crane to Pearl Harbor's USS Arizona Memorial with the help of Daniel, The Peace Library at the Austrian Study Center for Peace, and the city of Okinawa.

This fall Sadako's brother Masahiro and his son Yuji Sasaki will donate a crane to the city of São Paolo, Brazil, which has a community of more than a hundred atomic bomb survivors, and one to the Harry S. Truman Library and Museum in Independence, Missouri.

This origami crane, Located in Kaisezen Park, Koriyama, Fukushima was melded from steel recovered at the World Trade Center site in New York City. It was gifted to Koriyama City by the September 11th Families' Association and the 9/11 Tribute Center. Photograph by Ari Beser

In 2011, tragedy hit Japan again: A devastating earthquake triggered an even more devastating tsunami, which caused a core meltdown at Fukushima Dai Ichi Nuclear Power Plant.

In 2012, the 9/11 family association donated to Japan a paper crane welded from World Trade Center debris as a symbol of hope and resilience in the face of disaster. Consoled by Sadako's crane, they dedicated their own crane, which now rests in the city of Koriyama, Fukushima, a town less than 50 miles (80 kilometers) away from the crippled nuclear power plant.

Sadako's nephew, Yuji Sasaki, holds the paper crane his aunt folded in Koriyama City, in Fukushima Prefecture, before donating it to the mayor. Photograph by Ari Beser

On August 21, 2015, Sadako's nephew Yuji Sasaki brought the story full circle: He brought one of her cranes to Koriyama.

"Hiroshima and Fukushima have both had nuclear disasters, but at different speeds. In a way they are the same kind of disaster, and people of both city are affected by radiation," he said at the ceremony.

"I hope that even [in] this hopeless situation, we never give up, together."
Ari M. Beser is the grandson of Lt. Jacob Beser, the only U.S. serviceman aboard both bomb-carrying B-29s. He is traveling through Japan with the Fulbright-National Geographic Digital Storytelling Fellowship to report on the 70th anniversary of the atomic bombings of Hiroshima and Nagasaki and the fifth anniversary of the Great East Japan earthquake, tsunami, and nuclear meltdowns in Fukushima. Using photo essays, videos, and articles, Beser will give voice to people directly affected by nuclear technology today, as well as work with Japanese and Americans to encourage a message of reconciliation and nuclear disarmament. His new book, "The Nuclear Family," focuses on the American and Japanese perspectives of the atomic bombings.

The National Geographic Society is a global nonprofit organization that uses the power of science, exploration, education and storytelling to illuminate and protect the wonder of our world. Since 1888, National Geographic has pushed the boundaries of exploration, investing in bold people and transformative ideas, providing more than 15,000 grants for work across all seven continents, reaching 3 million students each year through education offerings, and engaging audiences around the globe through signature experiences, stories and content. To learn more, visit www.nationalgeographic.org or follow us on Instagram , LinkedIn, and Facebook .

Ari Beser

Ari M. Beser is the grandson of Lt. Jacob Beser, the only U.S. serviceman aboard both bomb-carrying B-29s. He is traveling through Japan with the Fulbright-National Geographic Digital Storytelling Fellowship to report on the 70th anniversary of the atomic bombings of Hiroshima and Nagasaki and the fifth anniversary of the Great East Japan earthquake, tsunami, and nuclear meltdowns in Fukushima. Using photo essays, videos, and articles, Beser will give voice to people directly affected by nuclear technology today, as well as work with Japanese and Americans to encourage a message of reconciliation and nuclear disarmament. His new book, "The Nuclear Family," focuses on the American and Japanese perspectives of the atomic bombings.

Every day school children visit the monument for the child victims of Hiroshima adorned with a statue of Sadako Sasaki holding up an origami crane. The museum receives millions of paper cranes from around the world. Photograph By Ari Beser.
Hiroshima, JAPAN-Origami, the Japanese art of folding paper, often conjures images of paper cranes, or orizuru in Japanese. I began to wonder, where does this fabled art form originate, and why are paper cranes regarded as a symbol of peace?

After some digging, I discovered that paper folding was reserved for ceremonies around the 6 th century A.D., since the paper came from China and was expensive for commoners. Folded paper butterfly figures were first used in Japan to decorate sake cups at weddings, and paper was folded in Shinto shrines for good luck. Decorative figures of paper cranes began showing up on ceremonial kimonos as far back as the 16th century.

The use of paper became widespread worldwide by the 20 th century. Origami as we know it was popularized and taught in Japanese schools in art class, and has since evolved as a childhood pastime.

In Japanese lore, the crane-a type of large, migratory bird-was thought to live for 1,000 years, and the animals are held in the highest regard.

The 1797 book Sen Bazuru Orikake, which translates to "how to fold 1,000 paper cranes," contains instructions for how to make these special objects.

But it doesn't talk about the legends. In every resource I found, the story of Sadako Sasaki was the reason why it became popular to fold them and make a wish.
Sadako pictured with her father on July 18, 1955, shortly before she died of leukemia, a result of exposure to the atomic bomb's ionizing radiation on August 6, 1945. Photograph courtesy of Yuji Sasaki.
Sadako survived the Hiroshima bomb when she was only two years old, but by 1950 she had swollen glands. Officials at the Atomic Bomb Causality Commission, set up by the U.S. government in post-war Japan to examine Hiroshima's citizens for health effects of the atomic bomb, recommended that she go to the hospital. She was diagnosed with leukemia, a cancer of the bone marrow, and died in 1955.

"How did Sadako become the girl who folded 1,000 paper cranes?" I recently asked her brother, Masahiro Sasaki, who lives in Fukuoka and is co-founder of the NPO Sadako Legacy, the organization that carries on the message of Sadako Sasaki.

"She let out both the pain of our parents and her own suffering with each crane. She hid her suffering and was very tolerant of the pain. She didn't want anyone to worry. She didn't complain to her friends or to us. Her spirit encouraged others around her to speak of her bravery," Sasaki told me.

"If it were me, I wouldn't have been able to stand the pain, but I'm not Sadako."
Cranes that Sadako made rest in the Hiroshima Peace Memorial Museum. Her family donated over a hundred of them to the museum, which has agreed to give them back to her family one crane at a time. Photograph by Ari Beser
In 2007, Sadako Legacy began donating Sadako's paper cranes around the world to places in need of healing.

They started with the National September 11 Memorial and Museum in New York City. Twenty-four Japanese citizens were killed in the attack on the World Trade Center, and it got back to Sadako's family that people were leaving paper cranes at the fence near Ground Zero.

Museum staff added the cranes to the memorial, including thousands donated by Japanese students. Moved by this, Sasaki decided to donate one of Sadako's cranes, which was unveiled at the museum in 2010.

In attendance was Clifton Truman Daniel, the grandson of U.S. President Harry S. Truman, who ordered the 1945 atomic bombings. Sasaki, carrying the last crane Sadako ever folded in a box, placed it in Daniel's hand and asked him if he would help them send a message of peace.

In addition to the September 11 memorial, Sadako Legacy has donated a crane to Pearl Harbor's USS Arizona Memorial with the help of Daniel, The Peace Library at the Austrian Study Center for Peace, and the city of Okinawa.

This fall Sadako's brother Masahiro and his son Yuji Sasaki will donate a crane to the city of São Paolo, Brazil, which has a community of more than a hundred atomic bomb survivors, and one to the Harry S. Truman Library and Museum in Independence, Missouri.

This origami crane, Located in Kaisezen Park, Koriyama, Fukushima was melded from steel recovered at the World Trade Center site in New York City. It was gifted to Koriyama City by the September 11th Families' Association and the 9/11 Tribute Center. Photograph by Ari Beser

In 2011, tragedy hit Japan again: A devastating earthquake triggered an even more devastating tsunami, which caused a core meltdown at Fukushima Dai Ichi Nuclear Power Plant.

In 2012, the 9/11 family association donated to Japan a paper crane welded from World Trade Center debris as a symbol of hope and resilience in the face of disaster. Consoled by Sadako's crane, they dedicated their own crane, which now rests in the city of Koriyama, Fukushima, a town less than 50 miles (80 kilometers) away from the crippled nuclear power plant.

Sadako's nephew, Yuji Sasaki, holds the paper crane his aunt folded in Koriyama City, in Fukushima Prefecture, before donating it to the mayor. Photograph by Ari Beser

On August 21, 2015, Sadako's nephew Yuji Sasaki brought the story full circle: He brought one of her cranes to Koriyama.

"Hiroshima and Fukushima have both had nuclear disasters, but at different speeds. In a way they are the same kind of disaster, and people of both city are affected by radiation," he said at the ceremony.

"I hope that even [in] this hopeless situation, we never give up, together."
Ari M. Beser is the grandson of Lt. Jacob Beser, the only U.S. serviceman aboard both bomb-carrying B-29s. He is traveling through Japan with the Fulbright-National Geographic Digital Storytelling Fellowship to report on the 70th anniversary of the atomic bombings of Hiroshima and Nagasaki and the fifth anniversary of the Great East Japan earthquake, tsunami, and nuclear meltdowns in Fukushima. Using photo essays, videos, and articles, Beser will give voice to people directly affected by nuclear technology today, as well as work with Japanese and Americans to encourage a message of reconciliation and nuclear disarmament. His new book, "The Nuclear Family," focuses on the American and Japanese perspectives of the atomic bombings.

This origami crane, Located in Kaisezen Park, Koriyama, Fukushima was melded from steel recovered at the World Trade Center site in New York City. It was gifted to Koriyama City by the September 11th Families' Association and the 9/11 Tribute Center. Photograph by Ari Beser

Sadako's nephew, Yuji Sasaki, holds the paper crane his aunt folded in Koriyama City, in Fukushima Prefecture, before donating it to the mayor. Photograph by Ari Beser

Ari Beser

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How Paper Cranes Became a Symbol of Healing in Japan

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Every day school children visit the monument for the child victims of Hiroshima adorned with a statue of Sadako Sasaki holding up an origami crane. The museum receives millions of paper cranes from around the world. Photograph By Ari Beser. Hiroshima, JAPAN-Origami, the Japanese art of fold

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Sadako and the Thousand Paper Cranes [SADAKO & THE THOUSAND PAPER CR]

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Sadako and the Thousand Paper Cranes [SADAKO & THE THOUSAND PAPER CR] [aa] on Amazon.com. *FREE* shipping on qualifying offers. Sadako and the Thousand Paper Cranes [SADAKO & THE THOUSAND PAPER CR]

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Printable Instructions and Video

The origami crane is the most well known of all the origami models: These instructions should make it easy for you to make your own beautiful crane. Use some pretty paper to make this lovely origami model: it is a very elegant bird!

If you'd like to know a bit about the history and meaning of this origami model, have a look at this page about Senbazurus and the story of Sadako Sasaki:

Video Instructions

Diagram Instructions

For a printable .pdf version of these instructions, click here. You will need Adobe Reader installed on your computer in order to open the .pdf file. You can get Adobe Reader here

3. Using the creases you have made, Bring the top 3 corners of the model down to the bottom corner. Flatten model.

6. Open the uppermost flap of the model, bringing it upwards and pressing the sides of the model inwards at the same time.

Flatten down, creasing well.

Browse Other Models Similar to the Origami Crane

Check out my TINY origami crane!

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The origami crane is the most well known of all the origami models: These instructions should make it easy for you to make your own beautiful crane. Use some pretty paper to make this lovely origami model: it is a very elegant bird!

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From the museum in Hiroshima

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how to make an origami rabbit face step by step instructions

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How to Make an Origami Rabbit Face Step by Step Instructions | Free Printable Papercraft Templates

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How to Make an Origami Rabbit Face Step by Step Instructions from Origami (Paper Folding) category. Hundreds of free printable papercraft templates of origami, cut out paper dolls, stickers, collages, notes, handmade gift boxes with do-it-yourself instructions.

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Fate is a funny thing. A few months ago I got ambitious one week, and wrote and published ( I thought) three blog articles. Unbeknownst to me, it was the same week that the STAR_Net blog was being moved to its new home on this website. For some reason, one of my articles made the move. The other two disappeared into the ether. I could have taken this experience as a reminder to always back up my work on at least one flash drive. Instead, I decided it was the universe giving me the opportunity to work harder on my article. It turned out to be a very interesting experience. When I started re-writing, I approached the subject from a slightly different angle, and learned something I hadn't encountered the first time around. And while the acronym STEAM doesn't include an "H," I do believe history is something we should try to learn, understand as best we can, and always remember, so that we may benefit from the actions of our ancestors and predecessors.

Now, on to the article...

For kids (and libraries) who can't afford to buy LEGO's, there is something of a solution for their desire to build and create imaginative structures and sculptures - 3D origami, also known as Golden Venture Origami. It does require a lot of preparation for large pieces, but making the building blocks of 3D origami can be done just about anywhere and any time, and costs a tiny fraction as much as LEGO sets, foundation boards, tables, and other LEGO supplies and storage bins. The only cost involved is for reams of colored printer paper, unless you opt for using old magazines, junk mail, or even old books, which can lead to some very impressive works of art; glue for creations meant to be permanent; and scissors, which any craft program will already have.

Relatively speaking, 3D origami, or Golden Venture Folding, is very young step child of traditional origami. It is a variation of modular origami created by a group of Chinese detainees while they were awaiting asylum after the ship they were hiding on, the Golden Venture, ran aground on the U. S. coast near New York in the early 1990's. Some of them were incarcerated by the INS for years before their release. While they were there, they created amazing works of art using countless small rectangles of paper. Many of their creations they gave away to the people trying to help arrange their release. Others they sold to raise money to pay their legal fees. Some of refugees were actually eventually given citizenship based on their "extraordinary artistic ability." Later, there was a travelling exhibition, entitled "Fly to Freedom," of the remaining creations, as well as other art pieces they created.

In the years since its creation, 3D origami has become quite popular in many parts of the world, and amazing works of art have been designed and created, using a multitude of tiny rectangles of paper which have been folded into triangles. For folks who don't have the patience or time to fold their own pieces, they can buy them in just about any color online at Etsy or Ebay.

The basic building blocks of Golden Venture Origami are triangles of paper with two pockets on one side. The points of one triangle are slid into the pockets of others to lock them in place. It's all easier to understand with pictures and video.

It doesn't take long at all to learn to fold the pieces. Once the fold pattern is learned, pieces can be folded anywhere and any time your hands aren't busy with other things - while standing in line (which I've heard we spend 1/3 of our lives doing) at the store, bank, movie theatre, restaurant, you get the picture; while watching tv; while being a passenger in the car, while on the phone, etc. The pieces can fit nicely in a normal sized pocket, so they can travel with you wherever you go. or they can be kept in a small box or (my personal preference) a ziplock bag.

Here's a video of the process of folding the triangles:

Although this video mentions A4 sized paper, letter paper works just fine. Also, for younger children, I would recommend dividing the paper into 16 pieces instead of 32. That results in larger, easier to handle rectangles.

This video also shows how to make the individual pieces. It also shows a technique for shaping them, stacking them until needed, and how they fit together to build sculptures, with details on how to both increase and decrease.

Here's a video demonstration of a method of making more pieces faster:

Once the pieces are made, the real fun begins. It's amazing to see the multitude of things that people all around the world have created using 3D origami. What can be build seems to be limited only by the creator's imagination. Here are some I found online, just to give the imagination a bit of a kickstart.

A simple internet search for "3D origami patterns" will bring up diagrams that can be followed to create specific designs, for those who'd rather try out something someone else has already worked the kinks out of. That would be a good way to start if one doesn't have much time for the trial and error method of design.

When I did this craft program, I made the triangular pieces ahead of time, of course. Otherwise the entire program would have been spent making the pieces, not creating cool sculptures with them. I did, however, spend the first part of the program teaching participants how to make the pieces, so that they would be able to take home the skill and continue creating after they left the library.

Here is some more information about the Golden Venture and the Chinese refugees, as well as the resulting exhibit:
From the Smithsonian An Introduction to Golden Venture Folding The Origami Maniacs Movie Trailer for the Documentary

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3-D Origami - The Fun of Legos on a Much Smaller Budget

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Fate is a funny thing. A few months ago I got ambitious one week, and wrote and published ( I thought) three blog articles. Unbeknownst to me, it was the same week that the STAR_Net blog was being moved to its new home on this website.

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See example 3D Origami designs that people have made.

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Abstract

This paper aims to democratize the design and fabrication of robots, enabling people of all skill levels to make robots without needing expert domain knowledge. Existing work in computational design and rapid fabrication has explored this question of customization for physical objects but so far has not been able to conquer the complexity of robot designs. We have developed Interactive Robogami, a tool for composition-based design of ground robots that can be fabricated as flat sheets and then folded into 3D structures. This rapid prototyping process enables users to create lightweight, affordable, and materially versatile robots with short turnaround time. Using Interactive Robogami, designers can compose new robot designs from a database of print and fold parts. The designs are tested for the users' functional specifications via simulation and fabricated upon user satisfaction. We present six robots designed and fabricated using a 3D printing based approach, as well as a larger robot cut from sheet metal. We have also conducted a user study that demonstrates our tool is intuitive for novice designers and expressive enough to create a wide variety of ground robot designs.

Paper

paper

Software

Windows executable

Acknowledgements

Support for this project has been provided in part by NSF Grant Nos. 1240383 and 1138967, by the DoD through the NDSEG Fellowship Program. We are also grateful to the following people for resources, discussions and suggestions: Ankur Mehta, Joseph DelPreto, Jacob Haip, and Isaque Dutra.

Citation

Adriana Schulz, Cynthia Sung, Andrew Spielberg, Wei Zhao, Robin Cheng, Eitan Grinspun,
Daniela Rus and Wojciech Matusik
Interactive robogami: An end-to-end system for design of robots with ground locomotion.
The International Journal of Robotics Research 36, no. 10 (2017): 1131-1147.

@article{Schulz:2017,
author = author={Schulz, Adriana and Sung, Cynthia and Spielberg, Andrew and Zhao, Wei
and Cheng, Robin and Grinspun, Eitan and Rus, Daniela and Matusik, Wojciech},
title={Interactive robogami: An end-to-end system for design of robots with
ground locomotion},
journal={The International Journal of Robotics Research},
year = {2017},
volume = {36},
number = {10},
pages = {1131--1147},
publisher = {SAGE Publications Sage UK: London, England},
}

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Interactive Design Space Exploration and Optimization for CAD Models

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Abstract This paper aims to democratize the design and fabrication of robots, enabling people of all skill levels to make robots without needing expert domain knowledge. Existing work in computational design and rapid fabrication has explored this question of customization for physical objects but so far has not been able to conquer the complexity of robot designs.

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FREE SHIPPING OVER $50 What about 10% OFF? Unlock the mystery of Shashibo! Each Shashibo is powered by 36 rare earth magnets. 1 cube transforms into over 70 shapes. Combine 2 or more Shashibos to build larger shapes and create more possibilities.

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Paper Kawaii is a great place to learn how to make many different origami models.

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Lots of printable origami paper to choose from! Scroll down to find the design or color you want and click on Download to download the pdf file. Each printable origami paper is 7×7. If you print on a regular 8.5×11 paper you will need scissors to cut it out. Have fun and don't forget to email us your masterpiece so we can show it off here!

All files are in pdf format. If your computer can't open these, you will need to download Adobe Reader.

by Geek

by alexabexis

by MapleRose

by andrea_koupal

by anastaishia

by shishi2011

Colors

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Printable Origami Paper - Origami Magazine

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Lots of printable origami paper to choose from! Scroll down to find the design or color you want and click on Download to download the pdf file. Each printable origami paper is 7×7. If you print on a regular 8.5×11 paper you will need scissors to cut it out.

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Origami Paper 500 sheets Chiyogami Patterns 6" 15cm

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Amazon.com: Origami Paper 500 sheets Chiyogami Patterns 6" 15cm: 9780804849234: Tuttle Publishing: Arts, Crafts & Sewing

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Awagami Factory - Japanese Washi Paper Shop

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Fine Art Washi Papers, Digital Inkjet Papers, Origami, Stationery, Papercrafts and Washi Decor crafted in Tokushima, Japan.

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An ancient tradition: Making hanji paper in Korea

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The art of making hanji, or paper, derived from the inner bark of a tree native to Korea, helps continue a treasured cultural tradition. Correspondent Seth Doan explores the labor-intensive process of creating hanji, used for writing, artwork and official documents, and strong enough to last a thousand years.

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"The Magic Moment" - Peter Dahmen the Amazing Paper Engineer

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Christmas trees: The origami holiday tree

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Most Christmas trees are cut, but one very special tree is folded! The American Museum of Natural History in New York City features a tree decorated top to bottom with origami insects, to celebrate the opening of the museum's new insectarium early next year. Correspondent Faith Salie reports.

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Depicts a cast of fine artists and eccentric scientists (from MIT and NASA) who have devoted their lives to the unlikely medium of modern origami. Through their determination to reinterpret ... Depicts a cast of fine artists and eccentric scientists (from MIT and NASA) who have devoted their lives to the unlikely medium of modern origami. Through their determination to reinterpret the world in paper, they arouse a fascinating mix of sensibilities towards art, form, expr... Read all Read all Depicts a cast of fine artists and eccentric scientists (from MIT and NASA) who have devoted their lives to the unlikely medium of modern origami. Through their determination to reinterpret the world in paper, they arouse a fascinating mix of sensibilities towards art, form, expressiveness, creativity and meaning.

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Between the Folds: Directed by Vanessa Gould. With Erik D. Demaine, Martin L. Demaine, Vincent Floderer, Miri Golan. Depicts a cast of fine artists and eccentric scientists (from MIT and NASA) who have devoted their lives to the unlikely medium of modern origami.

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A cacophony of barking alerts me to the cardboard box delivered to my front door. Packed inside is a single sheet of white corrugated plastic folded into what looks like a large suitcase. My canine companions take a curious sniff as I unfurl the rigid form, which spans nearly the width of my living room. Pushing outward on the creases of one side, I hear a shockingly loud pop.

The dogs sprint for cover, scrambling across wood floors, while I frantically look for damage, heart pounding. But nothing's broken. Instead, the plastic suitcase has transformed, and suddenly a full-size kayak is sitting in my living room.

The boat, created by the company Oru Kayak, is part of a scientific and technological revolution inspired by the centuries-old art of origami. What began as efforts to understand the math behind fold patterns has opened up surprising possibilities for manipulating the shape, movement, and properties of all kinds of materials-filters of face masks, the plastic of kayaks, even living cells.

"I just can't keep up," says Robert J. Lang, a preeminent origami artist who previously worked as a laser physicist. "That's a wonderful place for the field to be."

The art of origami has existed in Japan since at least the 17th century, but there are hints of paper folding from long before. Initially, models were simple and-because paper was expensive-used largely for ceremonial purposes, such as the male and female paper butterflies known as Ocho and Mecho that festoon sake bottles at Shinto weddings. As paper prices fell, origami's uses spread to gift wrap, playthings, and even geometry lessons for kids.

Then, in the mid-20th century, origami master Akira Yoshizawa helped elevate paper folding to a fine art. He breathed life and personality into each creature he designed, from a stern-faced gorilla glowering out of sunken eyes to a baby elephant joyfully swinging its trunk. With the publication of his first origami book in 1954, Yoshizawa also made the art form more accessible, establishing an easily understandable language of dotted lines, dashes, and arrows that contributed to systems still used today.

In the late 1950s, Yoshizawa's delicate forms inspired Tomoko Fuse, now one of the foremost origami artists in Japan. Her father gave her Yoshizawa's second origami book when she was recovering from diphtheria as a child. Fuse methodically crafted every model, and she's been entranced with origami ever since. "It's like magic," she says. "Just one flat paper becomes something wonderful."
(Graphic: See the innovations that origami has inspired in the world around us)
Among her many achievements, Fuse is famous for her advances in modular origami, which uses interlocking units to create models with greater flexibility and potential complexity. But she thinks of her work as less about creation than about discovering something that's already there, "like a treasure hunter," she says. She describes her process as if she's watching from afar, following wherever the paper leads her. "Suddenly, beautiful patterns come out."

Indeed, origami taps into patterns that echo throughout the universe, seen in natural forms such as leaves emerging from a bud or insects tucking their wings. For these exquisite folds to become scientifically useful, however, researchers must not only discover the patterns but also understand how they work. And that requires math.

Putting numbers to origami's intriguing patterns has long driven the work of Thomas Hull, a mathematician at Western New England University in Springfield, Massachusetts. When I walk into his school's math department, I know immediately which office is his. The door at the end of the hall is ajar, revealing boldly colored paper folded in all manner of geometric shapes. The models fill every nook of the small room-hanging from the ceiling, adorning the bookshelves, and surrounding the desktop computer. Hull himself is a riot of color and pattern; black and white spirals dance across his shoes, which are tied with purple laces. He's long been fascinated by patterns and still remembers unfolding a paper crane at age 10 and marveling at the ordered creases in the flat sheet.

There are rules at play that allow this to work, he recalls thinking. Hull and others have spent decades working to understand the mathematics governing the world of origami.

As we chat, Hull pulls out an array of models that are folded in intriguing shapes or move in unexpected ways. One is an impossible-looking sheet folded with ridges of concentric squares, which cause the paper to twist in an elegant swoop known as a hyperbolic paraboloid. Another is a sheet folded in a series of mountains and valleys called the Miura-ori pattern, which collapses or opens with a single tug. Dreamed up by astrophysicist Koryo Miura in the 1970s, the pattern was used to compact the solar panels of Japan's Space Flyer Unit, which launched in 1995.

In the years since, origami has been applied to many different types of materials, including tiny sheets of cells. This unusual medium coats the self-folding structure created by Kaori Kuribayashi-Shigetomi at Hokkaido University. When probed, the cells contract, transforming flat structures into cellular "Lego blocks," as she says, that could one day aid in growing organs.

Despite origami's current popularity in science and technology, researchers' early folding forays met resistance. Hull still remembers a discussion he had in 1997 with a program officer from the National Science Foundation (NSF), a U.S. government agency that supports research and education. Hull was outlining a potential project, when the program officer cut him off to say that the NSF would never fund "a research proposal with origami in the title."

This skepticism wasn't limited to the United States. Tomohiro Tachi, a prominent origami engineer at the University of Tokyo, looks down with a smile when I ask if he's ever faced resistance to his work. People in Japan, he says, often view origami as child's play. But that perception has shifted over the past couple of decades, with the NSF spearheading much of the change.

During a temporary posting at the organization starting in 2009, Glaucio Paulino pushed to fund research involving origami. "The process was brutal," says Paulino, who is now a professor of engineering at Princeton. "We were always in the hot seat trying to defend the idea."

But the effort paid off. In 2011 the NSF issued the first of two calls for proposals mixing origami and science, and teams of researchers flocked to submit ideas. The move lent legitimacy to the burgeoning field-and the use of origami in science blossomed.

"There was this resonance," Lang says. "It was something whose time had come."

Origami is now pushing the limits of what scientists think is possible, particularly at the tiniest of scales. On a blazing hot summer day, I meet up with Marc Miskin, an electrical engineer at the University of Pennsylvania. Inside the airy lobby of UPenn's Singh Center for Nanotechnology, we peer through a bright-orange glass wall into a series of rooms where people dressed head to toe in Tyvek sit at microscopes or work under vent hoods. It feels like a world away from the colorful chaos of Hull's office, but origami may prove no less vital here.

Miskin and his students have been using the clean room to craft an army of robots no bigger than a speck of dust. Such tiny bots require big creativity. Gears and most other mechanisms with moving parts work best in the human-size world where momentum and inertia rule, Miskin explains. But that's not the case at tiny scales where forces like friction are enormous, causing everything to stick. Gears won't turn. Wheels don't spin. Belts don't run.

That's where origami comes in. Fold patterns will bend and move the same way at any size, at least theoretically. Created using the same techniques as the computer chip industry, Miskin's robots look like fat flakes with arms and legs. When exposed to a trigger, such as voltage, their limbs bend, helping them walk through a drop on a glass slide or wave at a passing amoeba.

Miskin sees a world of possible ways these tiny bots could be used, from manufacturing to medicine. For now, though, pushing the limits is what's most important to him. "If you go after hard problems," he says, "you'll be rewarded with interesting technology."

Origami holds particular promise for biomedicine. For instance, a team led by Daniela Rus, director of the Massachusetts Institute of Technology's Computer Science and Artificial Intelligence Laboratory, developed a robot that can fold to fit into a pill capsule. After the capsule is ingested, the bot unfolds and can be directed around the digestive system using programmable magnetic fields. An initial test demonstrated one possible use: removing swallowed button batteries from the stomach, a potentially deadly condition experienced by thousands of children each year. "Imagine embedding medicine or using it to patch a wound," Rus says. "Just imagine a future of surgeries with no incisions, no pain, and no risk of infection."

These types of big dreams are where origami seems to help science flourish most. The venerable art form has provided a new tool kit to ignite the imagination and create technologies once thought impossible, including a kayak that folds down small enough to fit in a car's trunk.

On a bright fall afternoon I take my kayak for a spin on Virginia's Lake Accotink. The plastic suitcase draws curious looks from passersby as I unfold it. Perhaps one day folding forms will be seen as prosaic. But for now, origami will continue to spark wonder and excitement as it propels science, medicine, and technology into the future-and keeps me afloat as I shove off from the lakeshore.

Staff writer Maya Wei-Haas, who covers science for the magazine, folded a thousand origami cranes for her wedding. Craig Cutler specializes in still life and environmental portraiture.

This story appears in the February 2023 issue of National Geographic magazine.

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Origami is revolutionizing technology, from medicine to space

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A cacophony of barking alerts me to the cardboard box delivered to my front door. Packed inside is a single sheet of white corrugated plastic folded into what looks like a large suitcase. My canine companions take a curious sniff as I unfurl the rigid form, which spans nearly the width of my living room.

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Folding the James Webb Telescope.  With Origami!

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Origami & Math

So, you're interested in origami and mathematics...perhaps you are a high school or K-8 math teacher, or a math student doing a report on the subject, or maybe you've always been interested in both and never made the connection, or maybe you're just curious. Origami really does have manyeducational benefits. Whether you are a student, a teacher, or just a casual surfer, I have tried my best to answer your questions, so please read on.

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So exactly how do origami and math relate to each other? The connection with geometry is clear and yet multifaceted; a folded model is both a piece of art and a geometric figure. Just unfold it and take a look! You will see a complex geometric pattern, even if the model you folded was a simple one. A beginning geometry student might want to figure out the types of triangles on the paper. What angles can be seen? What shapes? How did those angles and shapes get there? Did you know that you were folding those angles or shapes during the folding itself?

For instance, when you fold the traditional waterbomb base, you have created a crease pattern with eight congruent right triangles. The traditional bird base produces a crease pattern with many more triangles, and every reverse fold (such as the one to create the bird's neck or tail) creates four more! Any basic fold has an associated geometric pattern. Take a squash fold - when you do this fold and look at the crease pattern, you will see that you have bisected an angle, twice! Can you come up with similar relationships between a fold and something you know in geometry? You can get even more ideas from this presentation onOrigami: In Creasing Geometry in the Classroom.

On the other hand, if you are a person who likes puzzles, there are a number of greatorigami challengesthat you might enjoy trying to solve. These puzzles involve folding a piece of paper so that certain color patterns arise, or so that a shape of a certain area results. But let's continue on with crease patterns...

A more advanced geometry student or teacher might want to investigate more in depth relationships between math and origami. You can take a look at thesegeometry exercisesto get you started. For instance, the traditional crane(or anotherset of diagrams) unfolded provides a crease pattern from which we can learn a lot. Pick a point (vertex) on the crease pattern. How many creases originate at this vertex? Is it possible for a flat origami model to have an odd number of creases coming out of a vertex on it's crease pattern? How about the relationship between mountain and valley folds? Can you have a vertex with only valley folds or only mountain folds?

How about the angles around this point? You can really impress your teacher (or your students) with this...of course, you will need to understand itfirst! There is a theorem calledKAWASAKI'S THEOREM, which says that if the angles surrounding a single vertex in a flat origami crease pattern are a 1, a 2, a 3, ..., a 2n, then:

a1+ a3+ a5+ ... + a2n-1= 180
and
a2+ a4+ a6+ ... + a2n= 180

In other words, if you add up the angle measurements of every other angle around a point, the sum will be 180. Try it and see!

Can you see that this is true, or, even better, can you prove it?

Although there is much to understand about crease patterns, origami itself is the act of folding the paper, which mathematically can be understood in terms of geometric construction. The most well-known construction is "straight edge and compass" construction, which refers to the geometric operations that can be formed with only those two instruments (note that the straight edge is not a ruler with length markings). It is well-known that SE&C constructions can be encompassed (no pun intended) by four basic axioms, first defined by Euclid, over 2000 years ago. It is also well known that there are certain operations that are impossible given just a straight edge and compass. Two such operations are trisecting an angle and doubling a cube (finding the cube root of 2).

But back to origami construction...origami construction is defined as those geometric operations that can be formed by folding a piece of paper, using the raw edges and points of the paper, as well as any subsequent crease lines and points created while folding. What is fascinating is that origami construction, although at first may seem less powerful than SE&C, is actually more powerful, allowing both the trisecting of the angle as well as the doubling of the cube. The mathematician Humiaki Huzita developed six axioms (and later a seventh) based on origami construction. I will not go into the details here, since below are links to a few sites which have very thorough descriptions of Huzita's Axioms:

Huzita's Axioms, courtesy of Wikipedia

Tom Hull's overview ofOrigami and Geometric Construction, which provides great descriptions and exercises for the 5th and 6th axioms, as well as descriptions of how to trisect the angle and double a cube via folding

Koshiro Hatori's page on Origami Constructiondescribes Huzita's Six Axioms as well as a seventh axiom that Hatori-san discovered!

Christian Lavoie developed an Origami Computational Model for a computational geometry course at McGill University in 2002. As background for this project her provides theaxioms of origamialong with graphs and equations.

What's especially great about all this is that these axioms are not just theoretical - they have been put into real use! Robert Lang's origami program,ReferenceFinder, uses all seven of the axioms. ReferenceFinder is a program which finds folding sequences to approximately locate any point on a square using a small number of folds.

The study of origami and mathematics can be classified as topology, although some feel that it is more closely aligned with combinatorics, or, more specifically, graph theory. I will give an example of an origami theorem which can be seen from both points of view, but first a little about topology.

The connection with topology is less clear than the connection with geometry, probably because most people are far less familiar with this field. If you are a student doing a report on origami and math, you can again impress your teacher by showing that you know what topology is, and how it is related to origami.

So, what is topology? Here's a short and idiosyncratic answer, but you should really readNeil Strickland's thorough answer with pictures. It is important that you understand that geometry and topology are very different. Topology is sometimes called "rubber sheet geometry", meaning that in topology, stretching an object or changing it's shape will not affect it (as long as you do not create any holes or patch up any holes). To a topologist, a coffee cup and a doughnut are the same, while a geometer sees them as completely different.

If you read Neil's answer, you noticed that he mentioned a subway map, which is just a network of points connected by lines, just like an origami crease pattern! Studying origami crease patterns can help us learn about networks such as subways and phone networks, and how to make them faster and more efficient. But don't take my word for it. Thomas Hull, an assistant professor of mathematics at Merrimack College in North Andover, Massachusetts, is the expert in the field of origami and topology. Tom is currently teaching a course in combinatorial geometry, and you can view the course'ssyllabus and assignments. If you are looking to do more in depth research in this field, your first step should be to contact Tom.His Web sitewas even mentioned ina story on ABCnews.com!

Now back to the origami theorem that I mentioned earlier, which can be seen from two points of view.

Theorem: Every flat-foldable crease pattern is 2-colorable.

In other words, suppose you have folded an origami model which lies flat. If you completely unfold the model, the crease pattern that you will see has a special property. If you want to color in the regions of your crease pattern with various colors so that no two bordering regions have the same color, you only need two colors. This may remind you of the famous map-maker's problem: what is the fewest number of colors you need to color countries on a map (again, so that two neighboring countries aren't the same color)? This is known as the Four Color Theorem, since the answer is four colors. As an interesting aside, this theorem was proven in 1976 by American mathematicians Appel and Haken using a computer to check the thousands of different cases involved. You can learn more about this proof, if you like.

But back to our theorem. Can you see that you need only two colors to color a crease pattern? Try it yourself! You will see that anything you fold (as long as it lies flat) will need only two colors to color in the regions on its crease pattern.

Here's an easy way to see it: fold something that lies flat. Now color all of the regions facing towards you red and the ones facing the table blue (remember to only color one side of the paper). When you unfold, you will see that you have a proper 2-coloring!

Warning...this section gets even more complicated! A more rigorous proof goes as follows: first show that each vertex in your crease pattern has even degree (the degree is the number of creases coming out of each vertex - we discussed this earlier!). Then you know the crease pattern is an Eulerian graph, that is, a graph containing a path which starts and ends at the same point and travels along every edge (such a path is called an Eulerian cycle). Don't try to prove this unless you are an experienced mathematician! Finally, it is well known that Eulerian graphs are 2-colorable.

Hmmm...I started off by promising a result which can be seen as both combinatorial and topological. Did we get it? Well, the result is clearly combinatorial, since it is graph theory. How is the result a topological one? Well, the 2-coloring gives us an easy way of determining the orientation of each region we color in. All regions colored blue will be facing up (or down) while all regions colored red will be facing the opposite way. Try it! This time, fold a model, unfold it, and color the crease pattern regions with red and blue. Now, refold the model and see for yourself!

Most people don't realize how much information there is on the subject of mathematics and origami. There are books and papers published on the subject, presentations given, as well as an international conference called "The International Meeting of Origami Science and Technology". In fact, many of the origami creators and authors here in the US and abroad are mathematicians, physicists, and other scientists. I am thinking of people like Robert Lang, Jun Maekawa, Toshikazu Kawasaki, and Thomas Hull. Another origami math figure with no formal mathematical training is Chris Palmer(also see this article about Chris), the creator of the flower tower(see picture).

As for books, the first ones that come to mind are a set of books by Rona Gurkewitz and Bennett Arnstein: 3D Geometric Origami: Modular Polyhedra, Modular Origami Polyhedra, and just published in 2003, Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality. You can learn more about Professor Gurkewitz's work, as well as view galleries, links, and more.

A few other origami books which discuss the connection with mathematics are Origami Omnibusby Kunihiko Kasahara (ISBN 0-87040-699-x), Origami from Angelfish to Zenby Peter Engel (ISBN 0-486-28138-8), Easy Origami, by Gay Merrill Gross and Tina Weintraub, and Math in Motion: Origami in the Classroom K-8by Barbara Pearl (ISBN 0-9647924-3-5). The Web site for Math in Motion even includes a sample lesson plan for educators. If you teach grades K-8, then this book may be what you have been looking for.

The first book I mentioned, Origami Omnibus discusses topics such as iso-area folding, the golden rectangle, folding a regular pentagon from a square, and the Kawasaki Theorem. The book is out of print, but you can probably get it at a local library or thorugh inter-library loan.

The next one, "Origami from Angelfish to Zen" has a wonderful introduction called "Crossing the Divide" which discusses the relationship between origami and topics like MC Escher, Zen philosophy, fractals and chaos, music, and art. An excellent introduction to origami and mathematics. This book should be available at places like Amazon.com, Sasuga Bookstore, andFascinating Folds.

Easy Origami, by Gay Merrill Gross and Tina Weintraub (ISBN 0-590-53549-8), is a workbook of projects for teachers in K-6, many with basic math content.

I have also heard great things about Paperfolding, a Fun and Effective Method for Learning Math. It has a nice Web site, which is worth checking out.

Another recent book is Mathematical Origami, by David Mitchell (ISBN 1-899618-18-X). Well-known for his modular designs and sculptures, David provides in this book instructions for the platonic solids and their variants, as well as other geometrical shapes such as rings, stars, rhombic shapes, and skeletal and outline solids.

You can find a list of more origami-math books at Tom Hull's Origami Bibiliography

There are also a number of great places on the Web to start looking. Tom Hull's Origami Math Web site, which I've already mentioned a few times, is the definitive resource on the Web for origami and mathematics. Tom Hull has done some quite advanced work in the subject. His origami-math papers have appeared in the in MAA (Mathematical Association of America) journals. He has written on topics like origami constructibility vs ruler/compass constructibility and origami and topology.

I can also tell you about Helena Verrill's Origami Page, which has information on modular origami, origami tesselations and origami-math tesselation problems, as well as other origami-math problems like angle trisection and the perimeter problem. Great stuff for a high school project!

Another interesting page (especially if you like fractals) is Jeannine Mosely's business card Menger Sponge project, the goal of which is to build a Menger sponge of depth 3 origami modular out of 66,048 business cards.

A recent addition to the Web is Krystyna Burczyk's Origami Gallery, which displays modulars, the regular polyhedra, and the semi-regular polyhedra. You can learn a lot here; how can a school report with the word "rhombicosadodecahedron" get a bad grade?

Wolfram Research has a page about origami and math which has pictures, lists Huzita's axioms, and provides many further references.

Another great site is the Geometry Junkyard, which provides a number of links to various topics in origami and mathematics.

Finally, if you're still hungry for more, check Tom Hull's Origami Math links. By the time you're done with these sites, you should have lots of great ideas for that report, project, or lesson plan!

I hope this gives you a good overall view of the topic of origami and mathematics. I will continue to update this page as more Web sites on this topic appear. If you have any comments or suggestions for me, please drop me a line.

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perhaps you are a high school or K-8 math teacher, or a math student doing a report on the subject, or maybe you've always been interested in both and never made the connection, or maybe you're just curious. Origami really does have many educational benefits.

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Since 1989, there have been several highly successful international scientific conferences exploring the interactions between origami, mathematics, science, and (since 2001) education. The conferences take place at irregular intervals-basically, whenever a general chair and sponsoring organization decide that the time has come for the next.

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Media Credits

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Producer

special thanks

Last Updated

September 27, 2022

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Diagnosing Diseases with Origami Microscopes | National Geographic Society

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Media Credits The audio, illustrations, photos, and videos are credited beneath the media asset, except for promotional images, which generally link to another page that contains the media credit. The Rights Holder for media is the person or group credited. Producer special thanks Last Updated September 27, 2022

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Origami techniques produce stiff but expandable engineering structures with potential applications across industries such as transportation, robotics and space exploration. Progress on this front so far, however, has been hindered by manufacturing limitations. Even the best 3D printers today have not been successful in creating origami-inspired structures due to the complexity of the ancient artform's creases and folds.

In a laboratory at Meiji University, Ichiro Hagiwara, a pioneer in origami engineering, has labored to build a printer prototype that potentially holds the key to the mass production of origami-engineered structures. Developed over eight years, Hagiwara's proof-of-concept has successfully replicated complex origami structures using a single sheet of paper.

Hagiwara's origami printing technology is set to form the foundation for generations of origami printers to come. This potentially eliminates the need to assemble multiple materials and parts when bringing origami-inspired industrial designs to life. Origami will be reborn, Hagiwara is convinced, with massive implications on manufacturing.

Practical applications

Hagiwara, who started out as a collision researcher, first experimented with origami techniques decades ago when he was studying ways to improve shock absorption systems. Success arrived in 2009 when his patented shock absorbers increased energy absorption in cars by 40%. Then in 2017, he invented the world's lightest foldable cardboard safety helmets that are now donned by cyclists across Northeast Asia.

Of his origami-engineered designs, Hagiwara is perhaps most satisfied with his revolutionary foldable plastic drinking bottles. Conceptualized in four short years, Hagiwara's novel solution is both flexible and portable. People can now fold and compress their drinking bottles, and size them according to how much liquid is in the bottle. This not only brings added convenience to the man in the street; the inventor also believes that these plastic drinking bottles, when appreciated for their practicality and aesthetic value, will discourage one-time use. Hagiwara also foresees these folding techniques being used on wine bottles, containers, as well as cosmetic and medicinal products.

Reviving an icon of Japanese culture

Through origami engineering, Hagiwara is also on the verge of reviving an ancient Japanese symbol of nobility: the hand-painted folding fan.

To paint a fan, ancient Japanese artists had to figure out how to present a coherent piece of artwork with folded paper as their canvas. There was no such thing as 3D imaging software in those days and artists can only rely on their imagination to plot out their masterpieces. Notable Edo period artists such as Sodatsu Tawaraya, Hokusai Katsushika and Korin Ogata were revered for their ability to bring out vivid sceneries through the rhythm and depth of the folds. Unfortunately, appreciation for the painstaking detail that goes behind such craftsmanship is on the decline as the folding fan fades into history to become a relic of the past.

Hagiwara passionately believes that the Japanese aren't just inheritors of their cultural lineage - they are also custodians of their culture. It is the responsibility of Japanese society to preserve art forms such as the hand-painted folding fan and in turn, bestow these traditions to future generations.

To this end, and as part of his research on origami printing, Hagiwara is undertaking the challenge to discover how two-dimensional paintings can be mathematically adjusted and transposed onto folded surfaces without image distortion. It's only when a folding fan is opened to its final position that we can appreciate the art on it, in its correct composition, Hagiwara asserts. With the findings from his research, modern artists are set to herald a new age of Japanese fan painting.

Hagiwara believes there is tremendous potential to be mined when the international scientific community collaborates with origami artists and creators in Japan. More marvels can be discovered if we look deeper into origami techniques. "While we could say that paper, origami and origami engineering are representative of Japanese science and culture, the future of origami engineering holds bright in Japan and beyond, with much more to explore."

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Origami gets a second life in manufacturing science

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Origami techniques produce stiff but expandable engineering structures with potential applications across industries such as transportation, robotics and space exploration. Progress on this front so far, however, has been hindered by manufacturing limitations. Even the best 3D printers today have not been successful in creating origami-inspired structures due to the complexity of the ancient artform's creases and folds.

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Origami-inspired tessellations (repeating patterns) can be used to amplify or focus sound and have the advantage of being foldable for better portability. Students goal is to create a structure that can dampen sound and fit in an envelope when folded.
Origami Acoustics TEK8 Student Handout
The student handout will be given to all students working on the design challenge. It gives a brief recap of the story, it helps the students identify what they are attempting to achieve, and it recaps the design process.
Origami Acoustics Facilitator's Guide
This Instructor's Guide provides the instructor additional information on how to run the design challenge with alternatives for materials and test setups as well as information to help make the design challenge a good educational experience.
Telling the Story Video
The Telling the Story Video conveys the societal impact of the student's research that is the basis for the design challenge and will set the problem-solving context for students.
Design Challenge Video
The Design Challenge Video leads students through the design process. It indicates materials available, states what the criteria are for success and any constraints. It also gives a second 'level' of the design challenge that allows 'early completers' to move on to a slightly more difficult challenge.

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Origami-inspired tessellations (repeating patterns) can be used to amplify or focus sound and have the advantage of being foldable for better portability. Students goal is to create a structure that can dampen sound and fit in an envelope when folded. Origami Acoustics TEK8 Student Handout The student handout will be given to all students working on the design challenge.

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The recent axiomization of Origami has led to numerous breakthroughs in both mathematics and in understanding of the ancient art of paper folding. We propose a puzzle whose solution demonstrates the power of mathematical origami. This puzzle is accessible to the geometry student and could be used as supplemental geometry instruction as an extension of traditional compass and straight edge constructions.

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These beginner origami tutorials are for those just starting out. Learn about many origami folding techniques and all of the various origami base folds.

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Printable Instructions and Video

The origami crane is the most well known of all the origami models: These instructions should make it easy for you to make your own beautiful crane. Use some pretty paper to make this lovely origami model: it is a very elegant bird!

If you'd like to know a bit about the history and meaning of this origami model, have a look at this page about Senbazurus and the story of Sadako Sasaki:

Video Instructions

Diagram Instructions

For a printable .pdf version of these instructions, click here. You will need Adobe Reader installed on your computer in order to open the .pdf file. You can get Adobe Reader here

3. Using the creases you have made, Bring the top 3 corners of the model down to the bottom corner. Flatten model.

6. Open the uppermost flap of the model, bringing it upwards and pressing the sides of the model inwards at the same time.

Flatten down, creasing well.

Browse Other Models Similar to the Origami Crane

Check out my TINY origami crane!

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The origami crane is the most well known of all the origami models: These instructions should make it easy for you to make your own beautiful crane. Use some pretty paper to make this lovely origami model: it is a very elegant bird!

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Origami is a paper folding craft that's widely popular across generations. From the fortune tellers you learned as a kid to decorative paper cranes, there's plenty to try.

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origami diagrams learn to fold instructions pictures

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Instructions for our awesome origami pad that came with issue 179...

Put your paper folding skills to the test with these six types of animal origami for kids! You'll be a master of origami in no time...

Psst! Don't worry if you didn't receive our origami pad, you can still have a go at our origami for kids! You'll simply need a small, square piece of paper to get started. Your paper should measure about 7.5cm by 7.5cm.

Butterfly

Make a beautiful butterfly with these easy instructions!

Crane

Create this brilliant bird in 11 easy steps!

Fish

Have fun with these funky fish origami instructions!

Flower

Have a go at this bloomin' marvellous floral origami!

Fox

Try your hand at this fantastic, foxy piece of folding!

Frog

Make a cheeky amphibian with this froggy origami!
DOWNLOAD ORIGAM I INSTRUCTIONS
Did you create any of our origami for kids designs? Let us know by leaving us a comment, below!

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Origami for kids! - Animal origami | National Geographic Kids

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Instructions for our awesome origami pad that came with issue 179... Put your paper folding skills to the test with these six types of animal origami for kids! You'll be a master of origami in no time... Psst! Don't worry if you didn't receive our origami pad, you can still have a go at our origami for kids!

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See the innovations that origami has inspired in the world around us

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The Japanese tradition of paper folding has long inspired artists. Now it's blazing new trails in science and design.

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Awagami makes a variety of decorative paper sets and paper-related kits to spark your creative potential. Enjoy origami, scrapbooking and paper crafts or try your hand at traditional Japanese paper dyeing and washi papermaking.

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PAPER CRAFTS Awagami makes a variety of decorative paper sets and paper-related kits to spark your creative potential. Enjoy origami, scrapbooking and paper crafts or try your hand at traditional Japanese paper dyeing and washi papermaking.

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Imagine trying to photograph a planet from trillions of miles away. Now imagine that planet is in another solar system, where the bright light of its parent star is outshining everything around it. This is what new technology from NASA is trying to do - capture the first images of planets outside our solar system - and you can make your own model of the spacecraft using origami!

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Student Project: Space Origami: Make Your Own Starshade | NASA/JPL Edu

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Make your own model of this folding NASA space technology designed to help capture the first images of planets outside our solar system!

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Beyond the Fold: The Math, History, and Technology behind Origami

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The ancient art of origami can be used to strengthen mathematical subjects in the classroom. By integrating origami into the curriculum, teachers of mathematics provide their students with new opportunities to solidify their understanding of diverse concepts, such as regular polygons, symmetry, and transformation.

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What is origami? This topic is often discussed on theorigami list, and can be quite a complex question. Does origami refer to folding paper, or does it include other mediums, like sheet metal or edible paper-thin pancakes? Is origami a craft or an art? Can it be both? Should the definition of origami allow some gluing and cutting, as long as the origami model is arrived at mainly through folding? In an email to the origami list dated 21 Jan 1999, Joseph Wu provided this simple yet encompassing definition, which I happen to like quite a bit:

You may have your own ideas on this subject. As has been pointed out on the origami list, the search for an exact definition might at first seem impractical: put simply, who cares? Well, suppose someone were to set up a permanent origami exhibition at a museum, or a charitable trust for the promotion of origami. Both of these situations would require the organizers to set down a definition of origami for legal purposes.

As for the word itself, it is commonly known that the word is Japanese in origin; orumeans "to fold", and kamimeans "paper". But did you know that the folding of paper was not always called origami? Hatori Koshiro provides an interesting history of origami, as well as some thoughts on my original question ofwhat is origami.

David Lister, one of the foremost Western historians in the field of origami history, was nice enough to send me his"TWO MISCELLANEOUS COLLECTIONS OF JOTTINGS ON THE HISTORY OF ORIGAMI". In describing the piece, he writes:

Mr. Lister cautions that these pieces are by no means a complete History of Origami, and that there may be errors and omissions. We are all looking forward to David Lister's complete origami history in a published format, but in the meantime we can still learn so much from his wonderful "miscellaneous collections of jottings", presented to you here:

Enjoy! I know I did!

The Origins of the term "Origami"

If you are interested in some of the more detailed information that David Lister can provide on the history of origami, a good place to start might be with the very first use of the word "origami". David Lister explains in an email to the origami list dated 17 Jan 1999 that the first use of the word "origami" in Japan did not refer to what we now think of as paperfolding but instead to paper certificates. Mr. Lister's email is provided here, again with his cautions that there may be errors and omissions:

...it is a fact that the first use of the word "Origami" in Japan was not for our familiar recreational paperfolding, but for certificates. I have several references, including the following from an article by Yoshizawa translated in The Origamian in autumn 1963:

In FOLD, issue 45 (September - October 1992)Professor James Sakodawrote the following:

Dominique Buisson, who carried out research into Japanese arts and crafts in Japan, refers to "origami-tsuki" in his book Manuel pratique d'origami, Paris, 1988. I translate:

Buisson dated origami-tsuki to the Muromachi era, but it will be noticed that James Sakoda's source puts the origins of "origami-tsuki" back into the Heian era. Clearly, too, there are differences of emphasis between the three accounts I have quoted.

This was the first usage of the word "origami" so far traced in Japan. The word "origami" came to be used occasionally for another kind of ceremonial folding, namely for "tsutsumi", or formal wrappers, by the beginning of the 18th century. However, its use for recreational origami of the kind with which we are familiar did not come until the end of the nineteenth century or the beginning of the twentieth. Before that, paperfolding for play was known by a variety of names, including "orikata", "orisue", "orimono", "tatamgami" and others. Exactly why the switch came to "origami" is not clear, but it has been suggested that the word was adopted in the kindergartens because the written characters were easier for young children to write. I have suggested that the word "origami" was a direct translation of the German word "Papierfalten", brought into Japan with the the Kindergarten Movement around 1880. My theory has not found favor with Japanese historians, but I think it would be wrong to rule out the possiblility of any influence of the German word.

"Noshi" are a kind of ceremonial fold entirely distinct from "origami-tsuki". Put simply, they are not certifictes, but are attached to gifts to express "good wishes". But "noshi" are another subject.

The wonder is that both the ancient Greeks and the Japanese adopted the use of folded paper (presumably vellum or parchment in the case of the Greeks) for a certificate. Were these two entirly separate developments, or was it a usage that spread from one end of Asia to the other, at a time and by some means hidden in the remote past?

Other Origami History Web Sites

Here are some links to more information on origami history. But be warned! Even well-known and well-respected origami books such as Peter Engel's Folding the Universe contain incorrect information on origami history. The historical section in Engel's book, for instance, is merely a compilation from various books that he mentions in his bibliography, some of which contain incorrect information or state conjectures as though they were established facts. If you are using these pages to do research on origami history, make sure you check your facts!

(written in 1996 by John S. Smith of Norwich, England)

(an article by Hatori Koshiro, mentioned earlier on this page)

(an historical essay byEdward Crankshaw)

(a short history of origami provided byJoseph Wu)

(thanks to the General Libraries at the University of Texas at Austin)

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What is origami? This topic is often discussed on theorigami list, and can be quite a complex question. Does origami refer to folding paper, or does it include other mediums, like sheet metal or edible paper-thin pancakes? Is origami a craft or an art? Can it be both?

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As you probably already know, paperfolding has carved itself quite a little niche in the Internet. You can find Web-basedorigami supply storesselling books, paper, and other origami products; there are origami newsgroups and online chats; there is a Yahoo Clubdedicated to origami; there is a popularorigami email list, with members spread across the globe;origami organizationsboth in the US and abroad have Web sites; and there are over a hundred origami Web pages, located on computers all around the world. In fact, a search for the word 'origami' at AltaVista.com finds over a hundred thousand Web pages!

Hopefully this area of the site will give you a glimpse into what other origami resources are available on the Web. I certainly can't promise that I've listed every origami Web site. However, I welcome your input! If you have found an origami-related site which you think should be listed on my site,please let me know!

Here are a few other origami sites and origami-related sites that you might enjoy:

TaylorTrade.comoffers a large variety of software, including origami software for beginners. You can learn more about it, or purchase it.

At Jorge Rezende's Puzzles with Polyhedra and Numbers, you can print copies of polyhedron puzzles (for non-commercial purposes only), as well as read several mathematical articles on the subject.

The Search Party
Lots of unique backgrounds patterns which you can print out an use for origami paper. A wide range of subjects including animals, birds, fishing, baseball, flowers etc.

Michi Online is a journal of Japanese cultural arts featuring articles on Japan's arts and methods of personal growth, as well as links to various other Japanese cultural resources

theJapanPage.com- official web site for Kodansha International documenting the best in Japanese culture, including Language, Martial Arts, Home & Gardens, Hobbies, Travel, Cooking, Art and Literature.

AsianMall.com offers you a portal to the world of Asian arts and crafts-where you can see and purchase unique and wonderful items.

Fudejiyais a Japanese calligraphy shop owned by Japanese calligrapher Shinsyu Narita. Fudejiya sells original brush character goods for this style of handwriting.

Tamara Tamsin is an artist whose works include installations, flat works, as well as video and sound. One of her installations, Funagata (2002), features origami boats.

The Sennin Foundation Center for Japanese Cultural Arts contains information about classes in traditional Japanese systems of yoga, healing arts, martial arts, and fine arts (calligraphy/painting and flower arrangement).

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As you probably already know, paperfolding has carved itself quite a little niche in the Internet. You can find Web-basedorigami supply storesselling books, paper, and other origami products; there are origami newsgroups and online chats; there is a Yahoo Clubdedicated to origami; there is a popularorigami email list, with members spread across the globe;origami organizationsboth in the US and abroad have Web sites; and there are over a hundred origami Web pages, located on computers all around the world.

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Origami inspired art and design by Jiangmei Wu

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Imagine trying to photograph a planet from trillions of miles away. Now imagine that planet is in another solar system, where the bright light of its parent star is outshining everything around it. This is what new technology from NASA is trying to do - capture the first images of planets outside our solar system - and you can make your own model of the spacecraft using origami!

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Student Project: Space Origami: Make Your Own Starshade | NASA/JPL Edu

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Make your own model of this folding NASA space technology designed to help capture the first images of planets outside our solar system!

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Between the Folds | Origami Art | Independent Lens | PBS

EXPLORE THE FILM

About the Documentary

Origami may seem an unlikely medium for understanding and explaining the world. But around the globe, several fine artists and theoretical scientists are abandoning more conventional career paths to forge lives as modern-day paper folders. Through origami, these offbeat and provocative minds are reshaping ideas of creativity and revealing the relationship between art and science. Between the Folds chronicles 10 of their stories.

Featuring interviews with and insights into the practice of these intrepid paper folders, the film opens with three of the world's foremost origami artists: a former sculptor in France who folds caricatures in paper rivaling the figures of Daumier and Picasso; a hyper-realist who walked away from a successful physics career to challenge the physics of a folded square instead; and an artisanal papermaker who folds impressionistic creations from the very same medium he makes from scratch.

The film then moves to less conventional artists, exploring concepts of minimalism, deconstruction, process and empiricism. Abstract artists emerge with a greater emphasis on concept, chopping at the fundamental roots of realism, which have long dominated traditional origami. The film also features advanced mathematicians and a remarkable scientist who received a MacArthur Genius Award for his computational origami research.

While debates ebb and flow on issues of folding technique, symbolism and purpose, this unique film shows how closely art and science are intertwined. The medium of paper folding-a simple blank, uncut square-emerges as a resounding metaphor for the creative potential for transformation in all of us.

Documentaries Available to Watch Now

Documentaries coming soon

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Between the Folds | Origami Art | Independent Lens | PBS

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Between the Folds | Origami Art | Independent Lens | PBS EXPLORE THE FILM Origami may seem an unlikely medium for understanding and explaining the world. But around the globe, several fine artists and theoretical scientists are abandoning more conventional career paths to forge lives as modern-day paper folders.

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Diagnosing Diseases with Origami Microscopes | QUEST | PBS LearningMedia

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How can engineering save lives? In places like Asia, Latin America and Africa, populations are often prone to diseases that are spread by microbes which cannot be seen by the naked eye. How, then, can their diseases be diagnosed and treated?

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The Origami Revolution | Microrobots from Foldable Designs | PBS LearningMedia

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Examine how principles of origami are being used to design small-scale devices such as miniature drones and microrobots, and learn about potential applications for these technologies, in this video from NOVA: The Origami Revolution. In Harvard's Microrobotics Lab, students are learning how to build robots by folding and cutting flat sheets of cardboard and plastic.

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The Origami Revolution | Predicting How Proteins Fold | PBS LearningMedia

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Explore how origami, the age-old tradition of paper folding, is analogous to one of the hardest problems in biology today-predicting a protein's folded shape-in this video from NOVA: The Origami Revolution. A protein's specific three-dimensional shape determines its function in the body. Failure to fold correctly can lead to disease.

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The Origami Revolution | Math and Science Modernize an Ancient Tradition | PBS LearningMedia

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Discover parallels between the natural world and origami-the Japanese art of paper folding-and witness how artists, mathematicians, and scientists are pioneering complex new designs, in this video from NOVA: The Origami Revolution.

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The New Encyclopedia of Origami and Papercraft Techniques

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The New Encyclopedia of Origami and Papercraft Techniques

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The New Encyclopedia of Origami & Papercraft Techniques is a comprehensive guide to basic and advanced papercrafting designs and styles. The book is filled with clear instructions, color charts, and photographs to direct you through every fold, crease, corner, and cut to create beautiful and original projects.

Filled with more than 200 step-by-step instructions, charts, tips, and examples of completed works, this full-color illustrated guide is perfect for both beginners and paper experts.

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The New Encyclopedia of Origami and Papercraft Techniques

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The New Encyclopedia of Origami and Papercraft Techniques [Brodek, Ayako, Waite Brown, Claire] on Amazon.com. *FREE* shipping on qualifying offers. The New Encyclopedia of Origami and Papercraft Techniques

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Origami Master: Robert J. Lang

The Science of Art

The world of mathematics might seem far removed from the world of art, but mathematics both describes and enables the creation of beautiful forms. Furthermore, the same mathematical description that lets us create folded art also allows us to solve real-world practical problems in the fields of science, engineering, technology, medicine, and more.

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Origami Master: Robert J. Lang The world of mathematics might seem far removed from the world of art, but mathematics both describes and enables the creation of beautiful forms. Furthermore, the same mathematical description that lets us create folded art also allows us to solve real-world practical problems in the fields of science, engineering, technology, medicine, and more.

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Project Origami: Activities for Exploring Mathematics, Second Edition (AK Peters/CRC Recreational Mathematics Series)

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Project Origami: Activities for Exploring Mathematics, Second Edition (AK Peters/CRC Recreational Mathematics Series) [Hull, Thomas] on Amazon.com. *FREE* shipping on qualifying offers. Project Origami: Activities for Exploring Mathematics, Second Edition (AK Peters/CRC Recreational Mathematics Series)

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Genuine Japanese Origami, Book 1: 33 Mathematical Models Based Upon (the square root of) 2 (Dover Origami Papercraft)

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This unique and wildly creative book by a Japanese origami master approaches the art of paperfolding from the perspective of mathematical and geometric principles. Jun Maekawa focuses on using rectangular paper to create a wide range of insects, leaves, plants, trees, animals, and fantastic creat...

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Cosmic Folding | The Origami Revolution | PBS LearningMedia

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Learn how the structure of the universe may twist and fold like origami in this video from NOVA: The Origami Revolution. Use this resource to stimulate student curiosity and interest about the structure and composition of the universe and to provide opportunities for students to develop and use cosmological models.

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Cosmic Folding | The Origami Revolution | PBS LearningMedia

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Learn how the structure of the universe may twist and fold like origami in this video from NOVA: The Origami Revolution. Use this resource to stimulate student curiosity and interest about the structure and composition of the universe and to provide opportunities for students to develop and use cosmological models.