Origami

Origami is the ancient Japanese art of paper folding. One uncut square of paper can, in the hands of an origami artist, be folded into a bird, a frog, a sailboat, or a Japanese samurai helmet beetle. Origami can be extraordinarily complicated and intricate.

The art of origami has been going through a renaissance over the past 30 years, with new designs being created at ever-increasing levels of complexity.

It’s no coincidence that this rise in origami complexity has emerged at the same time scientists, mathematicians and origami artists themselves have been discovering more and more of the mathematical rules that govern how paper folding works.


[1]

Indeed, if you take an origami model, of a bird for example, and carefully unfold it, you’ll see the pattern of creases that act as a blueprint for the model.

This crease pattern contains the secret of how the paper is able to fold into the bird – and that secret is math.


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In theory, we could use this crease pattern to determine exactly how the paper should fold up and what shape it will form – if, that is, we understood all the secret rules of paper folding.


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At heart, mathematics is about understanding the rules and patterns of the universe, be they patterns in numbers, in the stock market, or in nature.

Most traditional origami models fold flat, meaning you could press the model in a book without crumpling it.

It turns out that the crease patterns of flat origami models have some very special properties.

One of them is called Maekawa’s Theorem: at every vertex where creases intersect in a flat origami crease pattern, the difference between the number of mountain and valley creases is always two.

In the 1970s, Japanese astrophysicist Koryo Miura invented his Miura map fold, also known as the Miura-ori. It’s an example of an origami tesselation, where one shape is repeated over and over, with no gaps, across a whole surface.


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In this case, the crease pattern is a tiling of parallelograms laid out so the lines of the tiling also obey the rules of flat-folded origami. Dr. Miura chose the mountains and valleys of his crease pattern so that the model would open and close very easily.


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This crease pattern makes a very good alternative for folding a map, since it opens and closes so easily.

The array can then fold up into a small package to be put on a space satellite before being launched on a rocket. Once in space it could be opened by a simple expansion rod without the help of human hands.


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The Miura map fold has inspired a lot of researchers to investigate how it works, its properties, and how it can be used.


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Text Source: Origami: mathematics in creasing / theconversation

Video Source:

Dented Can Sculpture: A Glorification of Process / Youtube/ Noah Deledda

Cans Are Transformed Into Amazing Works Of Art / Youtube/ Art Insider

Tal Friedman Origami pavilion fabrication and assembly/ Youtube / talfriedman

Science of Innovation: Origami Structures / Youtube / USPTOvideo

Franziska Seehausen | unFold–inMotion / Youtube / Franziska Seehausen

Origami-inspired material designed to soften impact / Youtube/ UW (University of Washington)

How NASA Engineers Use Origami To Design Future Spacecraft / Youtube/ Seeker

Engineering with Origami / Youtube/ Veritasium

How origami is inspiring new kinds of emergency shelters / Youtube/ Nature Video

The Vidy Theater – A Double-Layered Timber Folded Plate Structure / Youtube/ EPFL IBOIS

Paper Tubes Make Stiff Origami Structures / Youtube / Georgia Tech

Folding Technique on Origamic Architecture / Youtube/ 103 cia

RESPONSIVE FACADE EXPERIMENT / Youtube/ GenoMorph

Responsive Morphologies Paper Folding / Youtube/ Andrea Quartara

maneuvrable Structure / Youtube /Motizz1986

kinetic origami scultpure / Youtube/ Jolea Schwindt

Artist Makes Kinetic Origami Art That Shrinks And Expands / Youtube/ Art Insider

These Furniture Pieces Can Be Folded Flat In Seconds / YOutube/ Art Insider

Nomad – Folding Flax Pavilion / Youtube/ Kathleen Bainbridge

Crane movie / Youtube/ Origami Crane

[1]-https://www.archdaily.com/925521/timber-pavilion-of-the-vidy-lausanne-theatre-yves-weinand-architectes-sarl-plus-atelier-cube
Timber Pavilion of the Vidy-Lausanne Theatre / Yotube / Yves Weinand Architectes sàrl + Atelier Cube

[2]-https://theawesomer.com/aluminum-can-sculptures/474505/
Aluminum Can Sculptures / theawesomer / Noah Deledda

[3]-https://talfriedman.com/origami-pavilion
origami pavilion / talfriedman / TAL FRIEDMAN ARCHITECTURE & DESIGN

[4]-http://www.ronresch.org/ronresch/gallery/paper-folding-origami/
Paper Folding / Origami (1960 & Later) / ronresch

[5]-https://www.vice.com/en/article/8xn4n5/computer-scientist-origami-algorithm
This Computer Scientist Can Turn Anything into Origami / vice / Erik Demaine

[6]-https://scene360.com/art/91610/robby-kraft-origami/
Origami and Mathematics Go Hand and Hand: The Paper Sculptures of Robby Kraft / scene360

[7]-http://www-g.eng.cam.ac.uk/advancedstructures/research.html
Advanced Shell Structures / University of Cambridge

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