Origami Polyhedra Design (AK Peters/CRC Recreational Mathematics Series)

This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations This book is a phenomenal display of making a single sheet of paper 3-dimensional. It involves a lot of pre-creasing and like many of Mr. Montroll's other polyhedral books I at least find his last tucks and locks very challenging. I had to start with large sheets to see what was happening. But where this book excels is in its connections to mathematics. Mostly it is creative applications of the Pythagorean theorem and basic trigonometry. In some ways this book is a great resource for the geometry/ Trig teacher, if for no other reason than to see the extensive way the that mathematics can be applied to origami. Even with no interest in origami, John Montroll's clear derivations of dividing a side into different fractional parts displays the power of euclidean geometry in a way that even our calculator generation can appreciate.(commentaire amazon) "In this book, well-known origami artist and prolific author John Montroll provides a wealth of origami folding instructions for beautiful three-dimensional geometric shapes. He goes beyond the average origami book and describes design techniques and mathematical methods behind the creation of these models, all of which are folded from a single, square, uncut sheet of paper. Practicing with Montroll's models and then following his suggestions and techniques will inspire you to design your own origami polyhedra!" --Book Jacket Unravels the mystery of Geometry in Origami with a fresh approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. This book also covers the five Platonic solids. Front Cover; Table of Contents; Symbols; Basic Folds; Introduction; Part I; Part II; Part III; Back Cover