Revision as of 08:32, 27 November 2013

Alison Brown (brown398@purdue.edu) Pinar Temiz (ptemiz@purdue.edu)

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.

Crease Pattern for the Flag 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