Origamics: Mathematical Explorations Through Paper Folding

Arrived very quickly! This is a very interesting book. My niece was struggling with Mathematics and we had some fun exploring geometry with Origami! Great fun!

Western mathematics since the time of the ancient Greek has devoted a lot of attention to geometric constructions using ruler and compass. That you cannot square a circle and that you cannot trisect an angle are important milestones in the history of mathematics. On the other hand, it seems strange to be restricted to ruler and compass. Many "impossible" constructions become possible, even easy, when you allow other means of construction.Kazuo Haga shows in Origamics how to use origami paper to do various geometric constructions. Chapters 1 to 4 deal mainly with different ways to divided a line segment into various parts. The other chapters deal with the formation of polygonal areas, and a classification of the folds that lead to various possibilities (triangular regions, quadrilateral regions, etc.). This leads to a division of a square or a rectangular origami paper into petals. These petals are defined by where the corner of the paper ends up when you make a certain type of fold.The book seems to have been written for high school students interested in mathematics or as an aid for teachers of such students, but it is also a nice book if you have a general interest in mathematics and/or origami. It is however not a book showing how to fold origami models.