Origami | Science Project

Areas of Science	Pure Mathematics
Difficulty
Time Required	Long (2-4 weeks)

*Note: For this science project you will need to develop your own experimental procedure. Use the information in the summary tab as a starting place. If you would like to discuss your ideas or need help troubleshooting, use the Ask An Expert forum. Our Experts won't do the work for you, but they will make suggestions and offer guidance if you come to them with specific questions.

If you want a Project Idea with full instructions, please pick one without an asterisk (*) at the end of the title.

Abstract

How do you turn a 2-dimensional piece of paper into a 3-dimensional work of art? Origami, the classical art of Japanese paper folding, is loaded with mathematical themes and concepts. What are the common folds in origami, and how do they combine to create 3-dimensional structure? Can you classify different types of origami into classes based upon the types of folds they use? Can you show Kawasaki's Theorem, that if you add up the angle measurements of every other angle around a point, the sum will be 180? (Andersen, 2004) Can you show that Huzita's Axioms, a set of seven rules of paper folding, are true? (Wikipedia contributors, 2006)

Bibliography

Andersen, E. M., 2004. "Origami and Math," Paperfolding.com [accessed: 5/1/06] http://www.paperfolding.com/math/
Wikipedia contributors, 2006. "Huzita-Hatori axioms," Wikipedia, The Free Encyclopedia. [accessed 5/1/06] http://en.wikipedia.org/w/index.php?title=Huzita-Hatori_axioms&oldid=56396768

Cite This Page

General citation information is provided here. Be sure to check the formatting, including capitalization, for the method you are using and update your citation, as needed.

MLA Style

Science Buddies Staff. "Origami." Science Buddies, 28 July 2017, https://www.sciencebuddies.org/science-fair-projects/project-ideas/Math_p032/pure-mathematics/origami. Accessed 25 Jan. 2020.

APA Style

Science Buddies Staff. (2017, July 28). Origami. Retrieved from https://www.sciencebuddies.org/science-fair-projects/project-ideas/Math_p032/pure-mathematics/origami

Last edit date: 2017-07-28

Experimental Procedure

For this science project you will need to develop your own experimental procedure. Use the information in the summary tab as a starting place. If you would like to discuss your ideas or need help troubleshooting, use the Ask An Expert forum. Our Experts won't do the work for you, but they will make suggestions and offer guidance if you come to them with specific questions.

If you want a Project Idea with full instructions, please pick one without an asterisk (*) at the end of the title.

Ask an Expert

The Ask an Expert Forum is intended to be a place where students can go to find answers to science questions that they have been unable to find using other resources. If you have specific questions about your science fair project or science fair, our team of volunteer scientists can help. Our Experts won't do the work for you, but they will make suggestions, offer guidance, and help you troubleshoot.

Ask an Expert

If you like this project, you might enjoy exploring these related careers:

Mathematician

Mathematicians are part of an ancient tradition of searching for patterns, conjecturing, and figuring out truths based on rigorous deduction. Some mathematicians focus on purely theoretical problems, with no obvious or immediate applications, except to advance our understanding of mathematics, while others focus on applied mathematics, where they try to solve problems in economics, business, science, physics, or engineering. Read more

CAD Technician

CAD (computer-aided design) technicians combine art and engineering to prepare the technical drawings and plans from which everything in the world is made—from toys to toasters, houses to hoses, satellites to sewer systems. CAD technicians are essential to the design and construction of everything you see around you. Read more

Architect

The essayist and poet Ralph Waldo Emerson called Greek architecture the "flowering of geometry." Architects blend art and science, designing structures for people, such as houses, apartments, schools, stores, malls, offices, places of worship, museums, sports stadiums, music theaters, and convention centers. Their designs must take into account not only the structure's appearance, but its safety, function, environmental impact, and cost. Architects often participate in all phases of design, from the initial consultation with the clients where the structure is envisioned, to its completion. Architects can enrich people lives by creating structures that are as beautiful to look at as they are functional to live, work, or shop in. Read more

News Feed on This Topic

, ,

Note: A computerized matching algorithm suggests the above articles. It's not as smart as you are, and it may occasionally give humorous, ridiculous, or even annoying results! Learn more about the News Feed

Looking for more science fun?

Try one of our science activities for quick, anytime science explorations. The perfect thing to liven up a rainy day, school vacation, or moment of boredom.

Find an Activity

Origami *

Abstract

Bibliography