OSME 7 - Volume 2
Mathematics
Published on 30. July 2021
368 pages
978-1-85811-837-6 (ISBN)
Description
Edited by Robert J. Lang, Mark Bolitho and Zhong You with a committee of 14 other expertsOrigami7 is a collection of papers published for the 7th International Meeting on Origami in Science, Mathematics and Education (7OSME), held at Oxford University in the United Kingdom from September 4-7, 2018. 7OSME is the seventh conference in a series dedicated to research in the applications of origami and folding in the conference title fields, as well as in technology, design and history. Volume 2: Mathematics With a preface by Thomas HullPapers on the mathematics of folding. Papers range from exploration of the mathematics inherent in folded structures, to the use of folding techniques to explore and illustrate mathematical concepts. Several papers look into the mathematics connected with specific folding structures, including the Miura-ori pattern and origami tessellations.
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Robert J. Lang | Mark Bolitho | Zhong You
OSME 7: Volume 2: Mathematics 2
The proceedings from the seventh meeting of Origami, Science, Mathematics and Education
Book
09/2018
Tarquin Publications
€62.03
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Content
- Cover
- Title
- Copyright
- Volume 2 Contents
- Origami7 General Preface
- Origami7 Volume Two Preface
- Folding a 3D Euclidean Space
- 3D Folding Axioms
- Fixed Point Iterative Methods `a la Fujimoto
- Mathematical Modelling of Errors in Origami
- Verifiable Origami Folding
- Origami Flat Folded States and Their Moduli
- Closed-Back Twists, Counterrotating Twist Tessellations, and Brocard Polygons
- An Edge-Extrusion Approach to Generate Extruded Miura-Ori and Its Double Tiling Origami Patterns
- Knot Embeddings in Improper Foldings
- Optimal Solution Search for Origami Checkerboard Puzzles
- Color Change and Pixel-matrix Challenge
- Counter Productivity in Minimalist Origami
- Approximating a Target Surface with 1-DOFRigid Origami
- Self-foldability of Monohedral Quadrilateral Origami Tessellations
- Rigid Foldability of the Augmented Square Twist
- Using Variational and PDE Methods for the Existence of Origami Models with Given Boundary Conditions
- Continuous Flattening of Extended Bipyramids with Rigid Radial Edges
- Conic Crease Patterns with Reflecting Rule Lines
- Generalized Offset Pythagorean Stretches in Box-Pleated Uniaxial Bases
- Orthogonal Voronoi Molecules
- Connected Paper Cranes by using Continued Fractions and Progressions
- Efficient Origami Construction of Orthogonal Terrains using Cross Section Evolution
- Folding Triangular and Hexagonal Mazes
- The PJS technique and the Construction of the First Origami Level-4 Menger Sponge
- The Editors of Origami7
- Sponsors and Supporting Partners
- Mathematics Contributors
- Acknowledgements
- Origami7 Index
- Back Cover
