Modular origami

Modular origami, also known as unit origami, is a special kind of paper folding. It involves making many small pieces called modules from sheets of paper. Each module is folded on its own, and then all the pieces are put together to form a flat shape or a 3D structure.

The modules are usually held together by inserting flaps into special pockets made during folding. These flaps create tension or friction that keeps the model in place. Sometimes, people use glue or string to make the model more stable.

This type of origami is fun because it lets you build bigger and more complex designs than regular origami. It’s a great way to practice patience and creativity while making beautiful paper art.

Definition and restrictions

Modular origami is a special kind of paper folding where you make many small pieces called modules from separate sheets of paper. These pieces are then linked together to form a flat shape or a 3D structure, usually by fitting flaps into pockets.

In modular origami, you cannot use glue, thread, or other materials that are not part of the paper itself. All the pieces must be identical and linked in a symmetrical way to create the final design.

History

The first known example of modular origami comes from a Japanese book by Hayato Ohoka in 1734, which shows a modular cube called a tamatebako, or magic treasure chest. Later, in 1965, Isao Honda also described a similar cube design made from six modules based on a traditional Japanese fold called the menko.

Interest in modular origami grew in the 1970s, especially after Robert Neale and Mitsunobu Sonobe developed new techniques. Artists like Tomoko Fuse and Tom Hull helped make modular origami popular, creating many beautiful designs that people still enjoy today.

Types

Modular origami can create flat shapes like stars and rings, or three-dimensional shapes such as regular polyhedra. It is also used to make lidded boxes in many different shapes, as shown in books by Tomoko Fuse. Some modular origami designs mimic fractals, and larger structures can be built using finished origami pieces as building blocks.

Modeling systems

Robert Neale created a special way to build shapes called equilateral polyhedra using folded paper pieces. Each piece, or module, has two pockets and two tabs that can bend at different angles. These angles can be set to 60 degrees for triangles, 90 degrees for squares, 108 degrees for pentagons, or 120 degrees for hexagons. By connecting these modules at their corners, you can make different flat shapes or 3D structures. For example, three triangle modules can form a stable triangle shape, while squares and other shapes become less stable as their angles get bigger.

Another type of module, called the Mukhopadhyay module, can also build any equilateral polyhedron. These modules have a central fold and triangle-shaped wings that help create complex shapes. For instance, building a shape like a cuboctahedron needs 24 of these modules because that shape has 24 edges. These modules often work best when glued together, especially for shapes with many sides.

Notes and references

This section contains references and notes that support the information in the article. These include sources, citations, and additional details that help verify the facts presented. For younger readers, the main ideas about modular origami — creating small paper units and assembling them into interesting shapes — are what matter most. The references are important for researchers and adults who want to learn more.