Description

Book Synopsis
This unique collection of papers illustrates the connections between origami and a wide range of fields. The papers compiled in this two-part set 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.

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

Origami 6 I. Mathematics

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    A Paperback / softback by Koryo Miura, Toshikazu Kawaskai, Tomohiro Tachi

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/12/2015
      ISBN13: 9781470418755, 978-1470418755
      ISBN10: 1470418754

      Description

      Book Synopsis
      This unique collection of papers illustrates the connections between origami and a wide range of fields. The papers compiled in this two-part set 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.

      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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