Roses Origami Math

Offers step-by-step directions for origami activities to help students explore angles, area, fractions, and other math concepts.

Contains illustrated instructions for creating forty-three mathematically-based origami models.

This book is a great resource for people who enjoy polyhedra, symmetry, geometry, mathematics and origami. The types of models presented are similar in nature to the models in Mukerji's Marvelous Modular Origami, but some of the chapters are more advanced and all of the designs are new. The reader can learn about polyhedra while making these models and is left with the ability to design one's own models. Step-by-step folding instructions for over 40 models are presented. Although the book is for intermediate folders, beginners are encouraged to try because origami basics are explained. The diagrams are easy to follow and each model is accompanied by breathtaking finished model photographs.

This book constitutes the thoroughly refereed post-conference proceedings of the 21st Japanese Conference on Discrete and Computational Geometry and Graphs, JCDCGGG 2018, held in Quezon City, Philippines, in September 2018. The total of 14 papers included in this volume was carefully reviewed and selected from 25 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics.

A magnificent new collection of 60 sculptural paper models from a mathematical origami master! Master origami folder and author Jun Maekawa is known for developing innovative new methods of folding origami based on fundamental mathematical principles. In The Art & Science of Geometric Origami, he shows you how to fold over 60 different geometric shapes through clear, easy-to-follow instructions and photos. The unique origami designs in this book include: New takes on traditional geometric models including the Tetrahedron and Octahedron Unusual forms like the Tetrapod Wave Breaker, Hyperbolic Illusion Cube--and a Torii Gate Quirky pieces like the Double Spiral Tessellation, Branching Tree and Fractal Wave Biological models such as a Lizard, Tethered Cranes and a realistic Human Figure Folding instructions for each model are prefaced with an extensive introduction to the geometric principles underlying the piece. The models include nontraditional designs folded from unusual papers, including dozens of clever boxes and modular models which are assembled like 3D puzzles!

This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners. A number of beautiful models are offered, ranging from cubes to prisms to dodecahedra. As with the author's two previous books, Origami Inspirations provides step-by-step instructions

Origami Master Class: Flowers is an expert-level course in folding breathtakingly beautiful origami flowers. Arranged by designer, this book offers you step-by-step instructions to make 12 of the most complex flower models ever designed. Master diagrammer Marcio Noguchi will guide you through creating advanced origami flowers with clear and precise diagrams that allow even beginners to fold these extraordinary projects. This book also contains exclusive content, including Robert Lang's "Rose," one of his most complex and sought after pieces, which has never before been diagramed. Inside, you'll also find beautiful and inspiring craft projects to use your folded flowers for, as well as biographies of the six artists who are among origami's most distinguished designers.

Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.