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Mathematics and Origami
By
Paige Avery
Faculty Advisor
Dr. 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 ConstructionCapped 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