Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

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

Transcript of Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Page 1: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Mathematics and Origami

By

Paige Avery

Faculty Advisor

Dr. Paul Schuette

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

Page 2: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Mathematics and Origami

Chapter 1

History

Geometry

Angle Construction

Chapter 2

Education

Chapter 3

Survey of Robert Lang’s Design Methods

Page 3: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

History

Myths

Origin of Origami

Facts

What is origami?

Who practices origami?

Why is origami practiced?

Page 4: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Geometry

Purpose of Origami in Geometry

Comparison

Geometric Constructions

Origami Constructions

Activity

Geometric Construction of Equilateral Triangle

Origami Construction of Equilateral Triangle

Page 5: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

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

Page 6: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Polyhedra

Individual Units

Bucky Balls

Importance of Angle ConstructionCapped Icosahedron

12 Sonobé Units

Dodecahedron

30 Pentagon-Hexagon Zig-Zag Units

Page 7: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Hands-On Experience

Educational Benefits of Origami

Levels of Geometric Thinking

Education

Page 8: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Survey of Design Methods

Robert J. Lang

Crease Pattern

Tree Theory

Circle River Method

Grafting

Page 9: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Lang’s Constructions

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

Page 10: Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette .

Conclusion

Chapter 1

History

Geometry

Angle Construction

Chapter 2

Education

Chapter 3

Survey of Robert Lang’s Design Methods