Tom hull, a mathematician at western new england university in springfield, massachusetts, has been exploring the miura map fold, which is a variant of the classic map. Miura fold nasa origami technique to fold and deploy solar panels in space duration. This factor is why nasa has used the miuraora fold in transporting satellites. Download the pdf with the instructions and templates here. The miuraori fold the miuraori fold is a flatfolding technique that greatly reduces and compresses a sheet of paper through a tessellated crease pattern made of repeating parallelograms. In this paper, we present geometric design methods to construct cylindrical and. Applying origami to space exploration pdf, international journal of pure and applied.
You can write annotations, add text, change the text correct spelling errors or delete words completely. Working with the miuraori tessellation, we find that each unit cell of this crease pattern is mechanically bistable, and by switching between states, the compressive modulus of the overall structure can be rationally and reversibly tuned. Developing smart origami shelters for himachal pradesh. First, the miuraori unit cell is introduced, because its geometry plays a key role in. Mahadevan, a professor of applied mathematics at harvard university, has. Analyses of morphological properties of a generalized.
Many insects have folded wings fitting to their body morphology that can unfold to fly. Ccbync image \miuraori perspective view tactom299322554 by tomohiro tachi on flickr. In this activity, youll make a miura fold by first creating a tessellation of parallelograms using reflection and translation. The miura fold is used in fields ranging from space flight to surgery, but it also. The miura fold fold the plane into congruent parallelograms with a careful choice of mountain and valley folds has a continuous folding motion from its unfolded state to a compact atfolded shape ccby. The author also suggests in this context that nature may abhor the right angle, according to observation of the wing base of a dragon. The fold can also be unpacked in just one motion by pulling on. A partly folded miura ori sheet is considered as a shell structure, where the local fold pattern alters the shellsglobalmechanical properties. Unravelling metamaterial properties in zigzagbase folded.
Most folding capabilities in editors such as gnu emacs and most folding editors such as origami and fe, are inspired by the inmos transputer development system. Koryo miura, aerospace structure designer, professor emeritus. The fold is named for its inventor, japanese astrophysicist koryo miura. This project is based on our previous folding experiment posted here, while. Morphological properties of the generalized miura origami elem.
This flat sheet geometry of miuraori figure 3 b is repeated throughout the tmp, where the main geometrical parameters are. B each facet is bounded by four vertices labeled 1 through 4. Although the fold is fairly advanced and engineered, it is only comprised of alternating mountain and valley folds. In the previous exercise, you created a miura fold by folding paper. From military shelters and solar arrays to batteries and drones, engineers continue to prove that origami can be the inspiration for more than just paper cranes. Gyisrgy darvas and dnes nag volume 5, number 2, 1994. The miuraori opened out like a fan the international society for. Variations of such rigidfoldable structures that are homeomorphic to disks can be designed by only considering local i. A folded miuraori sheet consists of tessellations of a unit cell. Using origami design principles to fold reprogrammable. The miura fold, miuraori is a method of folding a flat surface such as a sheet of.
Support cutepdf writer help free pdf editor, free pdf. The math of folding maps if youve ever been lost, youve experienced the frustrations of folding up a map. Turkish fold or the miura fold although the last one has been described by its inventor koryo miura at the icc 2001 are such examples. Miura map folding and unfolding wolfram demonstrations.
Origami has shown its potential in designing a threedimensional folded structure from a flat sheet of material. Design of cylindrical and axisymmetric origami structures. Im having a problem trying to actually fold a paper crane using the program instructions produced by export to pdf of the example figure crane. Stack overflow for teams is a private, secure spot for you and your coworkers to find and share information. A the miuraori crease pattern on a flat sheet is depicted with alternating mountain red and valley blue folds.
The inplane design method using generalized miuraori units to form approximate cylindrical surfaces. In many disciplines, professionals are interested in folding patterns for their packing and shape changing capabilities. B top view of a vshape fold including two identical parallelogram facets connected along the ridges with length a. The turkish fold is maybe better known as popout fold figure 1 and. Fold the plane into congruent parallelograms with a careful choice of mountain and valley folds has a continuous folding motion from its unfolded state to a compact atfolded shape. The miura fold, miuraori is a method of folding a flat surface such as a sheet of paper into a smaller area. Pdf design of cylindrical and axisymmetric origami structures. Biomimetics free fulltext unfolding crease patterns inspired by. The miura fold this is one of the works of threeday workshop at eskisehir anadolu university, called animate patterning. A folded miura fold can be packed into a very compact shape, its thickness restricted only by the thickness of the folded material. The miura map fold aka miuraori is an example of a rigid origami model can be folded from sheet metal with hinges instead of crease lines which has applications in solar panel design for space satellites.
Unfolding crease patterns inspired by insect wings and. For questions about editor responsibilities or how to. The geometry of unfolding tree leaves article pdf available in proceedings of the royal society b. The miura fold pattern, or the miuraori, is a flatfoldable origami tessellation with a wide range of engineering applications. In 1970 koryo miura, a japanese space scientist with a strong interest in origami, proposed a novel folding pattern named miuraori ori means fold by the british origami society in. A a miuraori unit cell contains two vshapes aligned sidebyside forming one concave valley and three convex mountain folds or vice versa, if the unit cell is viewed from the opposite side. In particular, the miuraori has been applied to the folding of. Make an origami fold that can compress rigid materials, and study the tessellation it creates. Miura folding, solar panels, similar diagrams, a and b paper size standards 1. A vast array of origami patterns can be applied to the folding of any material of nearzero thickness, such as paper.
Miura, the originator of the miuraora pattern, explains in his 1994 work that this property is what makes the fold so deployable. Fold your own universe with our cosmic origami decoration new. In this paper, we generalize miura origami and propose a method for analyzing a generalized miura origami structure. In her studio, tomoko fuse invents a new kind of origami, adding a modern touch to the art.
However, the folding of thick materials requires adding material and offsets. Origami based mechanical metamaterials scientific reports. Also element syntax is not a real xml, we use a simple regex to find your custom folds in a document, which means that there are limitations in the syntax. The miuraori translation miurafold is famous in map folding. Miuraori is a japanese folding technique named after prof. This paper focuses on the main characteristics emerging from folding patterns inspired and adapted from both insect wings and miuraori patterns, along with the. The miura fold, or miuraori, was used in japans space flyer unit a. Origami editor 3d advanced paper folding simulator and designing origami. International journal of pure and applied mathematics. Origami editor 3d presentation linkedin slideshare. Operates with a geometric abstraction of the yoshizawarandlett system. Miuraori tessellation, we find that each unit cell of this crease pattern is mechanically bistable, and by switching between states. Biological sciences 26591 january 1998 with 2,389 reads how we measure reads.
This demonstration offers a proof of sorts that the miura map fold is rigid when made from a tiling of any nonsquare parallelogram. The editor infrastructure can consult the fold hierarchy for the fold presence for the particular text component at any time not strictly at the file opening time. The miura fold, a wonderful mating of engineering and origami. If you would like to contribute content to the fold, please contact the appropriate editor see below. Fold the paper into five evenly spaced sections, alternating mountain and valley folds to create an accordion fold, also called a concertina fold.
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