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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
slide1

Mathematics and Origami

By

Paige Avery

Faculty Advisor

Dr. Paul Schuette

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

slide2

Mathematics and Origami

  • Chapter 1
    • History
    • Geometry
    • Angle Construction
  • Chapter 2
    • Education
  • Chapter 3
    • Survey of Robert Lang’s Design Methods
slide3

History

  • Myths
    • Origin of Origami
  • Facts
    • What is origami?
    • Who practices origami?
    • Why is origami practiced?
slide4

Geometry

  • Purpose of Origami in Geometry
  • Comparison
    • Geometric Constructions
    • Origami Constructions
  • Activity
    • Geometric Construction of Equilateral Triangle
    • Origami Construction of Equilateral Triangle
slide5

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
slide6

Polyhedra

  • Individual Units
  • Bucky Balls
  • Importance of Angle Construction

Dodecahedron

Capped Icosahedron

30 Pentagon-Hexagon Zig-Zag Units

12 Sonobé Units

slide7

Education

  • Hands-On Experience
  • Educational Benefits of Origami
  • Levels of Geometric Thinking
slide8

Survey of Design Methods

  • Robert J. Lang
    • Crease Pattern
    • Tree Theory
    • Circle River Method
    • Grafting
slide9

Lang’s Constructions

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

slide10

Conclusion

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