1. A POINT OPENS THE DOOR TO ORIGAMICS
2. NEW FOLDS BRING OUT NEW THEOREMS
3. EXTENSION OF THE HAGA'S THEOREMS TO SILVER RATIO RECTANGLES
4. X-LINES WITH LOTS OF SURPRISES
5. “INTRASQUARES” AND “ EXTRASQUARES”
6. A PETAL PATTERN FROM HEXAGONS?
7. HEPTAGON REGIONS EXIST?
8. A WONDER OF ELEVEN STARS
9. WHERE TO GO AND WHOM TO MEET
10. INSPIRATION FROM RECTANGULAR PAPER

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.

In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing.---Summary provided by the publisher