Mathematics
Author(s)
Bibliographic Information
Mathematics
(Origami 6 : proceedings of the sixth international meeting on origami science, mathematics, and education / Koryo Miura ... [et al.], editors, 1)
American Mathematical Society, c2015
Available at 17 libraries
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  Kyoto
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  Kumamoto
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  Okinawa
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Note
"... the 6th International Meeting on Origami Science, Mathematics, and Education (6OSME), which took place August 11-13, 2014, in Tokyo, Japan."-- Acknowledgements
Includes bibliographical references and index
Description and Table of Contents
Description
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.
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
by "Nielsen BookData"