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Mathematics and Origami

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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Mathematics and Origami

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  1. Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette http://mathworld.wolfram.com/Origami.html

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

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

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

  5. 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

  6. Polyhedra • Individual Units • Bucky Balls • Importance of Angle Construction Dodecahedron Capped Icosahedron 30 Pentagon-Hexagon Zig-Zag Units 12 Sonobé Units

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

  8. Survey of Design Methods • Robert J. Lang • Crease Pattern • Tree Theory • Circle River Method • Grafting

  9. Lang’s Constructions http://www.langorigami.com/Art/artmain.htm

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

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