Origami 6

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.

• Mathematics of origami: Coloring: Coloring connections with counting mountain-valley assignments by T. C. HullColor symmetry approach to the construction of crystallographic flat origami by M. L. A. de las Penas, E. C. Taganap, and T. A. RapanutSymmetric colorings of polypolyhedra by S.-H. Belcastro and T. C. HullMathematics of origami: constructibility: Geometric and arithmetic relations concerning origami by J. Guardia and E. TramunsAbelian and non-abelian numbers via 3D origami by J. I. Royo Prieto and E. TramunsInteractive construction and automated proof in Eos system with application to knot fold of regular polygons by F. Ghourabi, T. Ida, and K. TakahashiEqual division on any polygon side by folding by S. ChenA survey and recent results about commmon developments of two or more boxes by R. UeharaUnfolding simple folds from crease patterns by H. A. Akitaya, Y. Kanamori, Y. Fukui, and J. MitaniMathematics of origami: Rigid foldability: Rigid folding of periodic origami tessellations by T. TachiRigid flattening of polyhedra with slits by Z. Abel, R. Connelly, E. Demaine, M. L. Demaine, T. C. Hull, A. Lubiw, and T. TachiRigidly foldable origami twists by T. A. Evans, R. J. Lang, S. P. Magleby, and L. L. HowellLocked rigid origami with multiple degrees of freedom by Z. Abel, T. C. Hull, and T. TachiScrew-algebra-based kinematic and static modeling of origami-inspired mechanisms by K. Zhang, C. Qiu, and J. S. DaiThick 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. HowellConfiguration transformation and manipulation of origami cartons by J. S. DaiMathematics of origami: design algorithms: Filling a hole in a crease pattern: Isometric mapping from prescribed boundary folding by E. D. Demaine and J. S. KuSpiderwebs, tilings, and flagstone tessellations by R. J. LangScaling any surface down to any fraction by E. D. Demaine, M. L. Demaine, and K. QaiserCharacterization 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. TachiCurve-folding polyhedra skeletons through smoothing by S. Chandra, S. Bhooshan, and M. El-SayedDesign methods of origami tessellations for triangular spiral multiple tilings by T. Sushida, A. Huzume, and Y. YamagishiA new scheme to describe twist-fold tessellations by T. R. CrainWeaving a uniformly thick sheet from rectangles by E. Davis, E. D. Demaine, M. L. Demaine, and J. RamseyerExtruding towers by serially grafting prismoids by H. Y. ChengOn pleat rearrangements in pureland tessellations by G. KonjevodGraph paper for polygon-packed origami design by R. J. Lang and R. C. AlperinA method to fold generalized bird bases from a given quadrilateral containing an inscribed circle by T. KawasakiPentasia: An aperiodic origami surface by R. J. Lang and B. HayesBase design of a snowflake curve model and its difficulties by U. IkegamiTwo calculations for geodesic modular works by M. KawamuraIndex