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Origami$^6$: I. Mathematics
About this Title
Koryo Miura, University of Tokyo, Japan, Toshikazu Kawasaki, Anan National College of Technology, Tokushima, Japan, Tomohiro Tachi, University of Tokyo, Tokyo, Japan, Ryuhei Uehara, Japan Advanced Institute of Science and Technology, Tokushima, Japan, Robert J. Lang, Langorigami, Alamo, CA and Patsy Wang-Iverson, Gabriella & Paul Rosenbaum Foundation, Bryn Mawr, PA, Editors
Publication: AMS Non-Series Monographs
Publication Year:
2015; Volume 95.1
ISBNs: 978-1-4704-1875-5 (print); 978-1-4704-2789-4 (online)
DOI: https://doi.org/10.1090/mbk/095.1
ReadershipTable of Contents
Front/Back Matter
I. Mathematics of origami: Coloring
- Thomas C. Hull – Coloring connections with counting mountain-valley assignments
- Ma. Louise Antonette N. De las Peñas, Eduard C. Taganap and Teofina A. Rapanut – Color symmetry approach to the construction of crystallographic flat origami
- Sarah-Marie Belcastro and Thomas C. Hull – Symmetric colorings of polypolyhedra
II. Mathematics of origami: constructibility
- Jordi Guardia and Eulalia Tramuns – Geometric and arithmetic relations concerning origami
- Jose Ignacio Royo Prieto and Eulalia Tramuns – Abelian and non-abelian numbers via 3D origami
- Fadoua Ghourabi, Tetsuo Ida and Kazuko Takahashi – Interactive construction and automated proof in Eos system with application to knot fold of regular polygons
- Sy Chen – Equal division on any polygon side by folding
- Ryuhei Uehara – A survey and recent results about commmon developments of two or more boxes
- Hugo A. Akitaya, Jun Mitani, Yoshihiro Kanamori and Yukio Fukui – Unfolding simple folds from crease patterns
III. Mathematics of origami: Rigid foldability
- Tomohiro Tachi – Rigid folding of periodic origami tessellations
- Zachary Abel, Robert Connelly, Erik D. Demaine, Martin L. Demaine, Thomas C. Hull, Anna Lubiw and Tomohiro Tachi – Rigid flattening of polyhedra with slits
- Thomas A. Evans, Robert J. Lang, Spencer P. Magleby and Larry L. Howell – Rigidly foldable origami twists
- Zachary Abel, Thomas C. Hull and Tomohiro Ta – Locked rigid origami with multiple degrees of freedom
- Ketao Zhang, Chen Qiu and Jian S. Dai – Screw-algebra-based kinematic and static modeling of origami-inspired mechanisms
- Bryce J. Edmondson, Robert J. Lang, Michael R. Morgan, Spencer P. Magleby and Larry L. Howell – Thick rigidly foldable structures realized by an offset panel technique
- Jian S. Dai – Configuration transformation and manipulation of origami cartons
IV. Mathematics of origami: design algorithms
- Erik D. Demaine and Jason S. Ku – Filling a hole in a crease pattern: Isometric mapping from prescribed boundary folding
- Robert J. Lang – Spiderwebs, tilings, and flagstone tessellations
- Erik D. Demaine, Martin L. Demaine and Kayhan F. Qaiser – Scaling any surface down to any fraction
- Erik D. Demaine, Martin L. Demaine, David A. Huffman, Duks Koschitz and Tomohiro Tachi – Characterization of curved creases and rulings: Design and analysis of lens tessellations
- Suryansh Chandra, Shajay Bhooshan and Mustafa El-Sayed – Curve-folding polyhedra skeletons through smoothing
- Takamichi Sushida, Akio Hizume and Yoshikazu Yamagishi – Design methods of origami tessellations for triangular spiral multiple tilings
- Thomas R. Crain – A new scheme to describe twist-fold tessellations
- Eli Davis, Erik D. Demaine, Martin L. Demaine and Jennifer Ramseyer – Weaving a uniformly thick sheet from rectangles
- Herng Yi Cheng – Extruding towers by serially grafting prismoids
- Goran Konjevod – On pleat rearrangements in pureland tessellations
- Robert J. Lang and Roger C. Alperin – Graph paper for polygon-packed origami design
- Toshikazu Kawasaki – A method to fold generalized bird bases from a given quadrilateral containing an inscribed circle
- Robert J. Lang and Barry Hayes – Pentasia: An aperiodic origami surface
- Ushio Ikegami – Base design of a snowflake curve model and its difficulties
- Miyuki Kawamura – Two calculations for geodesic modular works