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Mathematics and Origami
ByPaige Avery
Faculty AdvisorDr. Paul Schuette
http://mathworld.wolfram.com/Origami.html
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Mathematics and Origami
Chapter 1 History Geometry Angle Construction Chapter 2 Education Chapter 3 Survey of Robert Lang’s Design Methods
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History
Myths Origin of Origami Facts What is origami? Who practices origami? Why is origami practiced?
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Geometry Purpose of Origami in Geometry Comparison Geometric Constructions Origami Constructions Activity Geometric Construction of Equilateral
Triangle Origami Construction of Equilateral
Triangle
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Angle Construction Purpose of Origami Angle Construction Hands-On Accuracy Trisection of an Angle The Impossible is Possible with Origami Activity Visual of Trisection of an Angle
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Polyhedra Individual Units Bucky Balls Importance of Angle Construction
Capped Icosahedron
12 Sonobé Units
Dodecahedron
30 Pentagon-Hexagon Zig-Zag Units
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Hands-On Experience Educational Benefits of Origami Levels of Geometric Thinking
Education
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Survey of Design Methods
Robert J. Lang Crease Pattern Tree Theory Circle River Method Grafting
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Lang’s Constructions
http://www.langorigami.com/Art/artmain.htm
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Conclusion Chapter 1 History Geometry Angle Construction Chapter 2 Education Chapter 3 Survey of Robert Lang’s Design Methods