Finding Fifths in Origami

Author: Joy Hsiao
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Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. An origami is typically made with a square piece of paper and no additional tools. A series of folds can transform a flat piece of square paper into an everyday object such as a bird, a boat, or a flower. Aligning vertices or edges makes a crease, and as new creases are made, they and their intersections become additional matching targets used to create new folds.


Edited by Maria Fung Delving Deeper offers a forum for classroom teachers to share the mathematics from their own work with the journal's readership; it appears in every issue of Mathematics Teacher. Manuscripts for the department should be submitted via For more information on submitting manuscripts, visit

Department editors Brian M. Dean,, District School Board of Pasco County, FL; and, Daniel Ness,, Queens College, City University of New York

Contributor Notes

Joy Hsiao,, is an educator at Long Island City High School, Long Island City, NY. She enjoys creating mathematical artwork and posing and solving math problems.

(Corresponding author is Hsiao
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