Origami: The Art and Practice of Paper Folding
Origami is the Japanese art of paper folding, spanning traditional cranes and modular forms to contemporary mathematical, educational and engineering applications.
Origami is the traditional Japanese practice of folding paper to create representational and abstract shapes. Its name combines the Japanese words for "folding" and "paper" and the craft blends manual skill, visual design and geometric insight. Common images—such as the paper crane—represent a small portion of origami's scope. The tradition encompasses simple recreational models, complex sculptural works, and rigorous mathematical study. For general origins and cultural context, see origami origins.
Image gallery
10 ImagesMaterials and tools
Papers used in origami are selected for their ability to hold creases and to tolerate repeated manipulation. Traditional Japanese washi and colored kami remain popular, while modern folders also use foil-backed paper, tissue-foil laminates and specially treated sheets that enable techniques such as wet-folding. Simple tools—bone folders, tweezers and cutting mats—may assist work, although many classical models require only a single uncut square of paper. For further notes on paper types and tools, consult paper and tools.
Basic techniques and notation
Fundamental folds include the valley fold and mountain fold, along with pleats, sinks, reverse folds and crimps. Repeatedly used crease patterns give rise to standard bases—such as the bird base or preliminary base—that serve as starting points for many models. During the twentieth century a system of graphical symbols and step-by-step diagrams became widely adopted, helping share designs internationally and enabling increasingly complex models to be learned from books and diagrams.
History and cultural role
Paper folding has ceremonial and recreational origins in Japan and appears in other cultures in various forms. Over time it evolved from practical uses—wrapping and ceremonial decorations—to refined artistic and pedagogical practices. In the twentieth century, practitioners such as Akira Yoshizawa popularized new techniques and a notation system that helped origami gain recognition as an art form. Contemporary reference works and media continue to shape public understanding; see mainstream descriptions at reference sources.
Varieties of origami
- Classic origami: single-sheet models folded without cuts or glue, often representing animals or objects.
- Modular origami: many identical units combined into polyhedra and decorative assemblies; for modular methods see modular techniques.
- Wet-folding: a technique that uses dampened paper to create rounded, sculptural shapes.
- Tessellations and mathematical folding: repeating patterns and crease networks that explore geometry and symmetry; see mathematical folding.
- Action and kinetic origami: models designed to move, expand or transform.
Simple and well-known models include the crane, waterbomb and paper airplane, while modern folders create complex animals, lifelike sculptures and intricate tessellations. For collections of traditional and contemporary models see popular models and modern models.
Mathematics, science and practical applications
Origami inspires mathematical research into geometry, algorithms and material behavior. Computational origami and folding algorithms have been developed to design crease patterns for specific three-dimensional shapes. Engineers and designers use origami principles to create deployable structures, compact packaging, foldable solar arrays and medical devices such as stents. The field exemplifies how simple folding rules can lead to efficient solutions in design and engineering.
Education, community and contemporary practice
Origami is widely used in education to teach spatial reasoning, fractions and geometric concepts, and it is also valued for its therapeutic and meditative qualities. A global community of hobbyists, artists and researchers shares patterns, holds conventions and publishes findings. Well-known contemporary figures include educators and designers who have advanced both artistic technique and computational approaches to folding.
Today origami remains a living practice that bridges craft, art and science. Whether pursued as a leisurely pastime, an artistic discipline or a research topic, the art of folding paper continues to evolve through new materials, notation systems and digital tools that expand what can be made from a single sheet—or many—of paper.
Conditions for a two-dimensional origami object
For a model to be flat or level when folded, the associated folding plan must satisfy the following conditions:
- The number of all folds must be even.
- It must be
or
(
= mountain fold,
= valley fold; Mackawa/Justin).
- The local minimum of a wedge must lie between a mountain fold and a valley fold
- When calculating the fold degrees, the result must be 0°. Example with four folds:
.
- The different folds (in a quad node) must face each other in this constellation:
and
. This means that is
a mountain fold and is
a valley fold, for example, while
and
are both mountain folds.
Parts of the origami
Today, origami is divided into several different directions, which can also be mixed with each other.
- Classic origami: a paper, usually square
- Modular Origami (sometimes called Tangrami): Several identical parts are put together to form a model, such as:
· Box pleats (a luminary in this field is Tomoko Fuse).
· Polyhedra: Here, different parts are sometimes used (e.g. connectors and faces).
· Tangrami: also known as 3D origami, is especially widespread in China, where a large number of mostly similar modules are put together to form different models.
- Multipiece Origami: Different parts are put together to form dolls and the like (often with the use of glue).
- Boxpleating: By folding horizontal and vertical lines that change direction along 45-degree angles, it is possible to obtain any number of free layers that can then be shaped into all sorts of legs, arms, and so on.
- Iso Area: The finished model looks the same from all sides.
- Pureland: Only mountain-and-valley folds (the basic folds in origami) may be used.
- Tessellations (from the English of mosaic): flat folding pictures with repeating patterns.
- Wetfolding: The folding of slightly moistened paper to better shape models. The finished (dried) models are very stable and appear more lifelike. Some folders use very firm paper such as elephant skin or watercolor paper for this, while others use extremely thin tissue paper or similar paper that has previously been treated with methyl cellulose (wallpaper paste) to make it more malleable.
- Kirigami: folds with incisions
- Crumpling: A folding method made famous by the Frenchman Vincent Floderer. First, a certain "base" is folded, which is then specifically crumpled and carefully brought into shape.
- Kinetic Origami: Spirals are created that can be twisted at will.
Questions and answers
Q: What is origami?
A: Origami is a traditional Japanese art of paper folding.
Q: What is origami paper made of?
A: Origami paper is specially made for folding and staying in shape.
Q: What can be created using origami techniques?
A: Various objects can be created using origami techniques.
Q: Can new models and creatures be created using origami?
A: Yes, new models and creatures have been made possible because of new folding techniques.
Q: How did the Japanese first fold origami?
A: When the Japanese first folded origami, they used only one piece of paper.
Q: What is modular origami?
A: Modular origami is a different kind of origami that uses many small pieces that are the same, which are combined to form one large model.
Q: What else can be made using origami?
A: Many mathematical shapes can be made with origami.
Related articles
Author
AlegsaOnline.com Origami: The Art and Practice of Paper Folding Leandro Alegsa
URL: https://en.alegsaonline.com/art/73135
Sources
- mathworld.wolfram.com : "Origami - from Wolfram MathWorld" · web.archive.org
- loggiaserena.com : "Paper Folding in 15th Century Europe"
- query.nytimes.com : "Akira Yoshizawa, 94, Modern Origami Master"
- books.google.com : Origami: From Angelfish to Zen, p. 7
- origami-resource-center.com : "Types of Origami"



