Mathematics and Origami

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# Mathematics and Origami - PowerPoint PPT Presentation

Mathematics and Origami. By Paige Avery Faculty Advisor Dr. Paul Schuette. http://mathworld.wolfram.com/Origami.html. Mathematics and Origami. Chapter 1 History Geometry Angle Construction Chapter 2 Education Chapter 3 Survey of Robert Lang’s Design Methods. History.

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Presentation Transcript

Mathematics and Origami

By

Paige Avery

Dr. Paul Schuette

http://mathworld.wolfram.com/Origami.html

Mathematics and Origami

• Chapter 1
• History
• Geometry
• Angle Construction
• Chapter 2
• Education
• Chapter 3
• Survey of Robert Lang’s Design Methods

History

• Myths
• Origin of Origami
• Facts
• What is origami?
• Who practices origami?
• Why is origami practiced?

Geometry

• Purpose of Origami in Geometry
• Comparison
• Geometric Constructions
• Origami Constructions
• Activity
• Geometric Construction of Equilateral Triangle
• Origami Construction of Equilateral Triangle

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

Polyhedra

• Individual Units
• Bucky Balls
• Importance of Angle Construction

Dodecahedron

Capped Icosahedron

30 Pentagon-Hexagon Zig-Zag Units

12 Sonobé Units

Education

• Hands-On Experience
• Educational Benefits of Origami
• Levels of Geometric Thinking

Survey of Design Methods

• Robert J. Lang
• Crease Pattern
• Tree Theory
• Circle River Method
• Grafting

Lang’s Constructions

http://www.langorigami.com/Art/artmain.htm

Conclusion

• Chapter 1
• History
• Geometry
• Angle Construction
• Chapter 2
• Education
• Chapter 3
• Survey of Robert Lang’s Design Methods