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Origami is a paper folding art that emerged in Japan (Yoshioka, 1963). Origami has two types, classical origami and modular origami (Tuğrul & Kavici, 2002). A single piece of paper is used in classic origami. Different items, animal figures and two-dimensional geometric shapes can be made with classic origami.

Rigid origami has been a fundamental model in many self-folding machines [1] that are usually composed of mechanical linkage of flat rigid sheets joined by hinges, such as the micro-thick folding actuators [2]. In the past, people have enjoyed many practical uses of rigid origami, ranging from folding maps and airbags to pack-

Bird Origami Butterfly Origami THE Complete Book of Hummingbirds Disney Classic Crochet Marvel ’s The Avengers Vault Montreal Then and Now Noah ’s Ark Origami Origami Aircraft Origami Chess: Cats vs. Dogs Peanuts Crochet Star Wars Crochet Vancouver Then and Now Spring 2015. AWARD-WINNING TITLES

Origami is the art of paper folding and has its origin in Japan. The word Origami comes from the two words, oru which means \to fold" and kami which means paper [2]. Although Origami is an ancient art, the interest from a mathematical point of view has increased during the last century. Speci cally, the area of Computational Origami began.

The Future of Robotics 269 22.1 Space Robotics 273 22.2 Surgical Robotics 274 22.3 Self-Reconfigurable Robotics 276 22.4 Humanoid Robotics 277 22.5 Social Robotics and Human-Robot Interaction 278 22.6 Service, Assistive and Rehabilitation Robotics 280 22.7 Educational Robotics 283

BI-FOLDING DOORS FROM SOLARLUX FLEXIBLE DESIGN WITH BI-FOLDING DOORS SYSTEMS TO SUIT ANY REQUIREMENT The Bi-Fold Door Family The all-glass bi-folding door - SL 82 The bi-folding door for passive houses - SL 97 Non-insulated bi-folding doors - SL 35 and SL 45 SYSTEM SPECIFICATIONS - COMPARISON THE TECHNOLOGY OF THE BI-FOLDING DOOR

of rigid-foldable origami into thick panels structure with kinetic mo-tion, which leads to novel designs of origami for various engineering purposes including architecture. 1 Introduction Rigid-foldable origami or rigid origami is a piecewise linear origami that is continuously transformable without the deformation of each facet. There-

origami and places the works in an art historical context. Dr. Lang examines the intersection of art and science in origami. The catalogue features full-color images, biographies of artists, diagrams and crease patterns (some previously unpublished) for making several origami forms, and resources for origami, including books and websites.

[17] Jeremy Shafer. Iso area 4x4 checkerboard. Origami Ooh La La! 2011. [18] Kunihiko Kasahara, Toshie Takahama. Origami for the Connoisseur. Japan Publications. 1998. [19] Jun Maekawa. The definition of iso-area folding. Origami 3:53-58. A K Peters, 2001. [20] Goran Konjevod. Integer programming models for flat origami. Origami 4:207–216. A .

Overview of Origami-Math origami geometric constructions combinatorial geometry of origami matrix models and rigid foldability computational complexity of origami folding manifolds B(x,µ(x)) B(x,µ(x)) x x (a) (b) γ v 1 γ v 2 γ v γ 3 v4

Spatial Visualization and Origami Everybody loves origami! Origami is a traditional Japanese craft. Origami literally means \Folding Paper" with Oru in Japanese meaning \to fold", and Kami meaning \paper". It started in 17th century AD in Japan and was popularized in the west in mid 1900's. It has since then evolved into a modern art form.

Symplectic Origami 4255 Section 5 is devoted to the origami version of a theorem in the standard theory of Hamiltonian actions: In it we compute the cohomology groups of an oriented toric origami manifold, under the assumption that the folding hypersurface be connected. Origami manifolds and higher codimension analogs arise naturally when con-