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Full Description
Origami7 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.
This Volume comprises the mathematical content with a Preface by Thomas Hull. Contents include Papers 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.
Contents
Folding a 3D Euclidean Space Jorge Lucero
3D Folding Axioms Roger C. Alperin
Fixed Point Iterative Methods a la Fujimoto Jose Ignacio Royo Prieto
Mathematical Modelling of Errors in Origami A. Woodhouse, A. Salhi
Verifiable Origami Folding G Ramseyer
Origami Flat Folded States and Their Moduli Roger C. Alperin, Jason Orozco
Closed-Back Twists, Counterrotating Twist Tessellations, and Brocard Polygons Robert J. Lang and Roger Alperin
An Edge-Extrusion Approach to Generate Extruded Miura-Ori and Its Double Tiling Origami Patterns K. Suto, A. Adachi, T. Tachi, Y. Yamaguchi
Knot Embeddings in Improper Foldings Joseph Slote, Thomas Bertschinger
Color-Change Origami Optimal Solution Search for Origami Checkerboard Puzzles K. Ohshima, R. Uehara, and J. Mitani
Color Change and Pixel-matrix Challenge D. Dureisseix
Counter Productivity in Minimalist Origami J. Mosely
Rigid, Partially-Rigid and Rigid-Ruling Origami Approximating a Target Surface with 1-DOF Rigid Origami Zeyuan He, Simon D. Guest
Self-foldability of Monohedral Quadrilateral Origami Tessellations Thomas C. Hull, Tomohiro Tachi
Rigid Foldability of the Augmented Square Twist Thomas C. Hull, Michael T. Urbanski
Using Variational and PDE Methods for the Existence of Origami Models with Given Boundary Conditions
S.L. Keeling and R. Geretschlager Continuous Flattening of Extended Bipyramids with Rigid Radial Edges
C. Nara, J. Itoh
Conic Crease Patterns with Reflecting Rule Lines Erik D. Demaine, Martin L. Demaine, David A. Huffman,
Duks Koschitz, Tomohiro Tachi
Generalized Offset Pythagorean Stretches in Box-Pleated Uniaxial Bases Robert J. Lang and Mu-Tsun Tsai
Orthogonal Voronoi Molecules Robby Kraft
Connected Paper Cranes by using Continued Fractions and Progressions Jun Maekawa
Efficient Origami Construction of Orthogonal Terrains using Cross Section Evolution Amartya Shankha Biswas, Erik D. Demaine, Jason S. Ku
Folding Triangular and Hexagonal Mazes Erik D. Demaine, Jason S. Ku, Madonna Yoder
The PJS Technique and the Construction of the First Origami Level-4 Menger Sponge S Cicalo
