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The following are examples of origami figures as well as their crease patterns. | The following are examples of origami figures as well as their crease patterns. | ||
| − | [[Image:Stars Stipes.jpg|left|2x1px]][[Image:Stars Stipes.jpg]] Flag from 1 sheet of paper | + | [[Image:Stars Stipes.jpg|left|2x1px]][[Image:Stars Stipes.jpg]] |
| − | [[Image: | + | |
| + | Flag from 1 sheet of paper | ||
| + | [[Image:Stars Stripes CP.jpg]] | ||
Crease Pattern for the Flag above | Crease Pattern for the Flag above | ||
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[[Image:Frog.jpg|Frog Origami created from 1 sheet of paper]] | [[Image:Frog.jpg|Frog Origami created from 1 sheet of paper]] | ||
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| + | Frog created from 1 sheet of paper | ||
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| + | [[Image:Frog_CP.jpg]] | ||
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| + | Crease pattern for the frog origami above | ||
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| + | [[Image:Spider.jpg]] | ||
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| + | Spider Created from one sheet of paper | ||
| + | |||
| + | [[Image:Spider_CP.jpg]] | ||
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| + | Crease patter for spider origami above | ||
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== Interesting Links == | == Interesting Links == | ||
Revision as of 09:40, 27 November 2013
Alison Brown (brown398@purdue.edu) Pinar Temiz (ptemiz@purdue.edu)
Contents
Origami Groups
Introduction/History
-When it was discovered
What are Origami Groups?
-Development of the math -Related Mathematicians
How it works
..the mathematics behind it all
Relation to other fields of mathematics
Origami relates in many ways to different fields of mathematics. For example, many teachers in high schools use origami to teach many topics in their curriculum. Areas included are problem solving, geometry, ratios, angles. logic, proofs, congruence, properties of parallel lines, and the list goes on. (Serenevy, 2003). One example Robert Lang gave in his TED talk was the fact that any origami figure can be unfolded and colored using only 2 colors. This would be a good example to show in a discrete mathematics class in high school (INSERT CITATION). There is also a fairly obvious connection to the field of geometry. Many geometric shapes and designs can be made with one sheet of square paper using different folds. Overall, even though the mathematics is starting to have a much deeper role in the creation of origami figures, there is a practical use for this math at a high school level relating to several different mathematical fields.
Importance of Origami Groups
-What are they used for? -Who uses this math? -Practicality
Examples
The following are examples of origami figures as well as their crease patterns.
Flag from 1 sheet of paper
Crease Pattern for the Flag above
Frog created from 1 sheet of paper
Crease pattern for the frog origami above
Spider Created from one sheet of paper
Crease patter for spider origami above
Interesting Links
-The following is a TED Talk given by Robert Lang discussing how interesting origami figures can be constructed thanks to particular mathematical rules.
http://www.ted.com/talks/robert_lang_folds_way_new_origami.html?quote=323
References
Serenevy, A. K. (Feb. 2003). Where's the math in origami? Retrieved from http://math.serenevy.net/?page=Origami-WhereMath
