Read e-book online Origami 3 Third International Meeting of Origami Science, PDF

By Thomas Hull

ISBN-10: 1568811810

ISBN-13: 9781568811819

The booklet includes papers from the court cases of the third foreign assembly of Origami technological know-how, Math, and schooling, subsidized via OrigamiUSA. They disguise themes starting from the math of origami utilizing polygon structures and geometric projections, purposes, and technological know-how of origami, and using origami in schooling.

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Additional info for Origami 3 Third International Meeting of Origami Science, Mathematics, and Education

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Algorithms, 1999, 891–892.  0 %HUQ HW DO [8] H. -S. Tan. An upper bound for conforming Delaunay triangulations. Disc. Comput. Geom. 10 (1993) 197–213. [9] D. Eppstein. Faster circle packing with application to nonobtuse triangulation. Int. J. Comp. Geom. & Applications 7 (1997) 485–491. [10] M. Gardner. Paper Cutting. In New Mathematical Diversions, Math. Assoc. America, 1995, 58–69. [11] H. Houdini. In Paper Magic, E. P. Dutton & Company, 1922, 176–177. [12] T. Hull. On the mathematics of flat origamis.

Definition: A crease pattern is foldable if it is physically possible to produce a piece of paper which has crease lines in the indicated positions with dihedral angles as indicated, such that the paper neither stretches, rips, nor self-intersects during folding and such that the faces of the resulting fold are flat. For simplicity, we first consider crease patterns with only a single multivalent vertex. ) $ 0DWKHPDWLFDO 0RGHO IRU 1RQ)ODW 2ULJDPL  )LJXUH  A labeled crease pattern and the corresponding completed fold.

Axis and hope it crawls counterclockwise. , r, (D .. , rD  B1 .. r-plane, and that this includes both qd and qz . Also, it is easy to redefine the map for a clockwise spider path; we leave this to the reader.  1HFHVVLW\ QRW 6XIILFLHQF\ Given a single-vertex crease pattern with z creases, we may write the accumulation of the operations on the spider (after it has traversed its path) as Uz Uzd 333U1 Ud . In fact, we see that we are required to have Uz Uzd 333U1 Ud ) { to ensure continuity of the map along the qz -axis.

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Origami 3 Third International Meeting of Origami Science, Mathematics, and Education by Thomas Hull

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