| Line 12: | Line 12: | ||
-Development of the math | -Development of the math | ||
| − | + | -Related Mathematicians | |
== How it works == | == How it works == | ||
| Line 20: | Line 20: | ||
== Relation to other fields of mathematics == | == 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. | + | 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 == | == Importance of Origami Groups == | ||
-What are they used for? | -What are they used for? | ||
| − | + | -Who uses this math? | |
| − | + | -Practicality | |
== Examples == | == Examples == | ||
| − | + | The following are examples of origami figures as well as their crease patterns. | |
| + | [[Image:Stars Stipes]] | ||
| + | |||
== Interesting Links == | == Interesting Links == | ||
| Line 41: | Line 43: | ||
== References == | == References == | ||
| + | |||
| + | Serenevy, A. K. (Feb. 2003). ''Where's the math in origami? ''Retrieved from'' http://math.serenevy.net/?page=Origami-WhereMath | ||
[[Category:MA453Fall2013Walther]] | [[Category:MA453Fall2013Walther]] | ||
Revision as of 07:14, 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. File:Stars Stipes
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
