Overview

A unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami in Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. This Part 1 contains papers on various aspects of mathematics of origami: coloring, constructability, rigid foldability, and design algorithms.

Full Product Details

Author:   Koryo Miura ,  Toshikazu Kawaskai ,  Tomohiro Tachi ,  Ryuhei Uehara
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.719kg
ISBN:  

9781470418755

ISBN 10:   1470418754
Pages:   368
Publication Date:   30 December 2015
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Mathematics of origami: Coloring: Coloring connections with counting mountain-valley assignments by T. C. Hull Color symmetry approach to the construction of crystallographic flat origami by M. L. A. de las Penas, E. C. Taganap, and T. A. Rapanut Symmetric colorings of polypolyhedra by S.-H. Belcastro and T. C. Hull Mathematics of origami: constructibility: Geometric and arithmetic relations concerning origami by J. Guardia and E. Tramuns Abelian and non-abelian numbers via 3D origami by J. I. Royo Prieto and E. Tramuns Interactive construction and automated proof in Eos system with application to knot fold of regular polygons by F. Ghourabi, T. Ida, and K. Takahashi Equal division on any polygon side by folding by S. Chen A survey and recent results about commmon developments of two or more boxes by R. Uehara Unfolding simple folds from crease patterns by H. A. Akitaya, Y. Kanamori, Y. Fukui, and J. Mitani Mathematics of origami: Rigid foldability: Rigid folding of periodic origami tessellations by T. Tachi Rigid flattening of polyhedra with slits by Z. Abel, R. Connelly, E. Demaine, M. L. Demaine, T. C. Hull, A. Lubiw, and T. Tachi Rigidly foldable origami twists by T. A. Evans, R. J. Lang, S. P. Magleby, and L. L. Howell Locked rigid origami with multiple degrees of freedom by Z. Abel, T. C. Hull, and T. Tachi Screw-algebra-based kinematic and static modeling of origami-inspired mechanisms by K. Zhang, C. Qiu, and J. S. Dai Thick rigidly foldable structures realized by an offset panel technique by B. J. Edmondson, R. J. Lang, M. R. Morgan, S. P. Magleby, and L. L. Howell Configuration transformation and manipulation of origami cartons by J. S. Dai Mathematics of origami: design algorithms: Filling a hole in a crease pattern: Isometric mapping from prescribed boundary folding by E. D. Demaine and J. S. Ku Spiderwebs, tilings, and flagstone tessellations by R. J. Lang Scaling any surface down to any fraction by E. D. Demaine, M. L. Demaine, and K. Qaiser Characterization of curved creases and rulings: Design and analysis of lens tessellations by E. D. Demaine, M. L. Demaine, D. A. Huffmann, D. Koschitz, and T. Tachi Curve-folding polyhedra skeletons through smoothing by S. Chandra, S. Bhooshan, and M. El-Sayed Design methods of origami tessellations for triangular spiral multiple tilings by T. Sushida, A. Huzume, and Y. Yamagishi A new scheme to describe twist-fold tessellations by T. R. Crain Weaving a uniformly thick sheet from rectangles by E. Davis, E. D. Demaine, M. L. Demaine, and J. Ramseyer Extruding towers by serially grafting prismoids by H. Y. Cheng On pleat rearrangements in pureland tessellations by G. Konjevod Graph paper for polygon-packed origami design by R. J. Lang and R. C. Alperin A method to fold generalized bird bases from a given quadrilateral containing an inscribed circle by T. Kawasaki Pentasia: An aperiodic origami surface by R. J. Lang and B. Hayes Base design of a snowflake curve model and its difficulties by U. Ikegami Two calculations for geodesic modular works by M. Kawamura Index

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Author Information

Koryo Miura and Toshikazu Kawaskai, Anan National College of Technology, Tokushima, Japan. Tomohiro Tachi, University of Tokyo, Japan. Ryuhei Uehara, Japan Advanced Institute of Science and Technology, Ishikawa, Japan. Robert J. Lang, Langorigami, Alamo, CA, USA. Patsy Wang-Iverson, Gabriella & Paul Rosenbaum Foundation, Bryn Mawr, PA, USA.

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