Mathematics and Origami

10
Mathematics and Origami By Paige Avery Faculty Advisor Dr. Paul Schuette http://mathworld.wolfram.com/ Origami.html

TAGS:

description

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. - PowerPoint PPT Presentation

Transcript of Mathematics and Origami

Page 1: Mathematics and Origami

Mathematics and Origami

ByPaige Avery

Faculty AdvisorDr. Paul Schuette

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

Page 2: Mathematics and Origami

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

History

Myths Origin of Origami

Facts What is origami? Who practices origami? Why is origami practiced?

Page 4: Mathematics and Origami

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

Angle Construction Purpose of Origami Angle Construction

Hands-On Accuracy

Trisection of an AngleThe Impossible is Possible with Origami

Activity Visual of Trisection of an Angle

Page 6: Mathematics and Origami

Polyhedra Individual Units Bucky Balls Importance of Angle Construction

Capped Icosahedron

12 Sonobé Units

Dodecahedron

30 Pentagon-Hexagon Zig-Zag Units

Page 7: Mathematics and Origami

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

Education

Page 8: Mathematics and Origami

Survey of Design Methods

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

Page 9: Mathematics and Origami

Lang’s Constructions

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

Page 10: Mathematics and Origami

Conclusion Chapter 1

History Geometry Angle Construction

Chapter 2 Education

Chapter 3 Survey of Robert Lang’s Design Methods


The Mathematics of OrigamiThis document develops the mathematics of origami using secondary-school mathematics. Equations of lines are given in the slope-intercept form y = mx +b.

The Mathematics of OrigamiThis document develops the mathematics of origami using secondary-school mathematics. Equations of lines are given in the slope-intercept form y = mx +b.

The Mathematics of Origami for Secondary-School Students2.3The mathematics of origami The first axiom systems was Euclidean geometry, named after the third-century mathematician who

The Mathematics of Origami for Secondary-School Students2.3The mathematics of origami The first axiom systems was Euclidean geometry, named after the third-century mathematician who

EURASIA Journal of Mathematics, Science and Technology Education … · origami effectively in mathematics education. Although there are attempts to train prospective teachers to

EURASIA Journal of Mathematics, Science and Technology Education … · origami effectively in mathematics education. Although there are attempts to train prospective teachers to

Spatial Visualization and Origami · 2020. 8. 24. · Spatial Visualization and Origami Everybody loves origami! Origami is a traditional Japanese craft. Origami literally means \Folding

Spatial Visualization and Origami · 2020. 8. 24. · Spatial Visualization and Origami Everybody loves origami! Origami is a traditional Japanese craft. Origami literally means \Folding

iStock/Li Kim Goh - UMass Amherst · iStock/Li Kim Goh. physicsworld.com ... we’re learning more about how origami works. “The mathematics of origami have recently undergone a

iStock/Li Kim Goh - UMass Amherst · iStock/Li Kim Goh. physicsworld.com ... we’re learning more about how origami works. “The mathematics of origami have recently undergone a

The Mathematics of Origami - Weizmann

The Mathematics of Origami - Weizmann

Local Actuation of Tubular Origami - University of Bristol...proceedings-from-the-seventh-meeting-of-origami-science-mathematics-and-education.html Peer reviewed version Link to publication

Local Actuation of Tubular Origami - University of Bristol...proceedings-from-the-seventh-meeting-of-origami-science-mathematics-and-education.html Peer reviewed version Link to publication

Mathematics and Origami

Mathematics and Origami

Origami Polytopes - University of Hawaiisuperm.math.hawaii.edu/_lessons/k_five/lesson_origamiPoly.pdf · The School and University Partnership for Educational Renewal in Mathematics

Origami Polytopes - University of Hawaiisuperm.math.hawaii.edu/_lessons/k_five/lesson_origamiPoly.pdf · The School and University Partnership for Educational Renewal in Mathematics

How to make an origami Santa - Complete Mathematics · Mathematics. Solved. How to make an origami Santa You will need two sheets of square paper, preferably red on one side and white

How to make an origami Santa - Complete Mathematics · Mathematics. Solved. How to make an origami Santa You will need two sheets of square paper, preferably red on one side and white

Spatial Visualization and Origami - CEMCcemc.uwaterloo.ca/events/mathcircles/2016-17/Winter/Junior78_Mar7.pdf · Spatial Visualization and Origami Everybody loves origami! Origami

Spatial Visualization and Origami - CEMCcemc.uwaterloo.ca/events/mathcircles/2016-17/Winter/Junior78_Mar7.pdf · Spatial Visualization and Origami Everybody loves origami! Origami

Michael Assis - CARMA · Origami Mathematics in Education Michael Assis Melbourne University School of Mathematics and Statistics Tools and Mathematics 29 November 2016

Michael Assis - CARMA · Origami Mathematics in Education Michael Assis Melbourne University School of Mathematics and Statistics Tools and Mathematics 29 November 2016

Unfolding Mathematics with Unit Origami OETC integratED February 27, 2014 Joseph Georgeson UWM georgeso@uwm.edu.

Unfolding Mathematics with Unit Origami OETC integratED February 27, 2014 Joseph Georgeson UWM [email protected].

Mathematics in origami - WordPress.com · 2021. 5. 4. · Mathematics in origami Origami, the art of paper folding, has a long history. In origami, people can make beautiful handicrafts

Mathematics in origami - WordPress.com · 2021. 5. 4. · Mathematics in origami Origami, the art of paper folding, has a long history. In origami, people can make beautiful handicrafts

Origami The Science of Origami - University of Rochester · 2018-03-23 · The Science of Origami Robert J. Lang SPEAKER PHYSICIST AND LEADING THEORIST OF THE MATHEMATICS OF ORIGAMI

Origami The Science of Origami - University of Rochester · 2018-03-23 · The Science of Origami Robert J. Lang SPEAKER PHYSICIST AND LEADING THEORIST OF THE MATHEMATICS OF ORIGAMI

Origami TO Origami TOyS S TOyS - gibbssmithcovers.comgibbssmithcovers.com/Origami Toys Eblad.pdf · That Tumble, Fly, and Spin Origami TOyS Paul Jackson Interactive origami toys that

Origami TO Origami TOyS S TOyS - gibbssmithcovers.comgibbssmithcovers.com/Origami Toys Eblad.pdf · That Tumble, Fly, and Spin Origami TOyS Paul Jackson Interactive origami toys that

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

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

Statistics and Origami - swandelta.org and Origami - MJ OCallaghan.pdfSquareness • Most books focus on origami and geometry • There is an assumption that you buy the origami paper.

Statistics and Origami - swandelta.org and Origami - MJ OCallaghan.pdfSquareness • Most books focus on origami and geometry • There is an assumption that you buy the origami paper.

The Organ Base in Origami: Teaching Mathematics and Creativity …archive.bridgesmathart.org/2019/bridges2019-651.pdf · 2019. 6. 27. · The Organ Base in Origami: Teaching Mathematics

The Organ Base in Origami: Teaching Mathematics and Creativity …archive.bridgesmathart.org/2019/bridges2019-651.pdf · 2019. 6. 27. · The Organ Base in Origami: Teaching Mathematics

Folds and cuts: mathematics and origami

Folds and cuts: mathematics and origami