Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education

ISBN-13: 9781568817149 / Angielski / Miękka / 2011 / 668 str.

Patsy Wang-Iverson

Opis

Origami⁵ continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields. The fifth such meeting, 5OSME (July 13 17, 2010, Singapore Management University) followed the precedent previous meetings to explore the interdisciplinary connections between origami and the real world. This book begins with a section on origami history, art, and design. It is followed by sections on origami in education and origami science, engineering, and technology, and culminates with a section on origami mathematics the pairing that inspired the original meeting. Within this one volume, you will find a broad selection of historical information, artists descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the mathematical underpinnings of origami. "

Spis treści

Origami History, Art, and Design: History of Origami in the East and the West before InterfusionDeictic Properties of Origami Technical Terms and Translatability. Betsy Ross Revisited: General Fold and One-Cut Regular and Star Polygons. Reconstructing David Huffman’s Legacy in Curved-Crease Folding. Simulation of Nonzero Gaussian Curvature in Origami by Curved-Crease Couplets. Compression and Rotational Limitations of Curved Corrugations. Polygon Symmetry Systems. New Collaboration on Modular Origami and LED. Using the Snapology Technique to Teach Convex Polyhedra. A Systematic Approach to Twirl Design. Oribotics: The Future Unfolds. Origami in Education: Origametria and the van Hiele Theory of Teaching Geometry. Student-Teachers Introduce Origami in Kindergarten and Primary Schools. Narratives of Success: Teaching Origami in Low-Income Urban Communities. Origami and Spatial Thinking of College-Age Students. Close Observation and Reverse Engineering of Origami Models. Origami and Learning Mathematics. Hands-On Geometry with Origami. .My Favorite Origamics Lessons on the Volume of Solids. Origami Science, Engineering, and Technology: Rigid-Foldable Thick Origami. Folding a Patterned Cylinder by Rigid Origami. The Origami Crash Box. Origami Folding: A Structural Engineering Approach. Designing Technical Tessellations. A Simulator for Origami-Inspired Self-Reconfigurable Robots. A CAD System for Diagramming Origami with Prediction of Folding Processes. Development of an Intuitive Algorithm for Diagramming and 3D Animated. Hands-Free Microscale Origami. Foldable Parylene Origami Sheets Covered with Cells: Toward Applications…Mathematics of Origami: Introduction to the Study of Tape Knots. Universal Hinge Patterns for Folding Orthogonal Shapes. A General Method of Drawing Biplanar Crease Patterns. A Design Method for Axisymmetric Curved Origami with Triangular Prism Protrusions. Folding Any Orthogonal Maze. Every Spider Web Has a Simple Flat Twist Tessellation. Flat-Unfoldability and Woven Origami Tessellations. Degenerative Coordinates in 22.5° Grid System. Two Folding Constructions. Variations on a Theorem of Haga. Precise Division of Rectangular Paper into an Odd Number of Equal Parts. The Speed of Origami Constructions Versus Other Construction Tools. A Note on Operations of Spherical Origami Construction. Origami Alignments and Constructions in the Hyperbolic Plane. A Combinatorial Definition of 3D Flat-Folding. Stamp Foldings with a Given Mountain-Valley Assignment. Flat Vertex Fold Sequences. Circle Packing for Origami Design Is Hard.