Origamics: Mathematical Explorations Through Paper Folding

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Overview

The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.
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Product Details

  • ISBN-13: 9789812834904
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 9/28/2008
  • Pages: 152
  • Product dimensions: 5.90 (w) x 8.90 (h) x 0.50 (d)

Table of Contents

1 A Point Opens the Door to Origamics 1

2 New Folds Bring Out New Theorems 11

3 Extension of the Haga's Theorems to Silver Ratio Rectangles 21

4 X-Lines with Lots of Surprises 33

5 "Intrasquares" and "Extrasquares" 45

6 A Petal Pattern from Hexagons? 59

7 Heptagon Regions Exist? 71

8 A Wonder of Eleven Stars 77

9 Where to Go and Whom to Meet 93

10 Inspiration of Rectangular Paper 107

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