
Origami modular or origami units is a papermaking technique that uses two or more sheets of paper to create larger and more complex structures than may be possible using one part origami technique. Each sheet of paper is folded into a module, or unit, and then the module is assembled into an integrated flat shape or three-dimensional structure by inserting a flap into a bag made by the folding process. This insertion creates a tension or friction that holds the model together.
Video Modular origami
Definitions and limitations
The modular origami can be classified as an origami multi-piece subset, since the restriction rules on one sheet of paper are abandoned. However, all other origami rules still apply, so the use of any other glue, yarn, or fasteners that are not part of a sheet of paper is generally unacceptable in modular origami.
Additional restrictions that distinguish modular origami from other multi-part origami forms use multiple identical copies of folded units, and connect them together in symmetrical or repetitive mode to complete the model. There is a common misconception that treats all multi-part origami as modular.
More than one type module can still be used. Usually this means using a separate connector unit hidden from view to hold parts of the joint construction. Other uses are generally not recommended.
Maps Modular origami
History
The first historical evidence for modular origami design comes from a Japanese book by Hayato Ohoka published in 1734 called Ranma Zushiki . It contains a print showing a group of traditional origami models, one of which is a modular cube. Cubes are depicted twice (from slightly different angles) and are identified in the accompanying text as tamatebako (treasure chest). Isao Honda World of Origami (published in 1965) seems to have the same model, in which it is called a "cubic box". The six modules required for this design were developed from traditional Japanese paper known as menko . Each module forms one face from a finished cube.
There are several other traditional Japanese modular designs, including folded folded paper balls known as kusudama , or medicine balls. This design is not integrated and is generally coupled together with threads. The term kusudama is sometimes, somewhat inaccurately, used to describe a three-dimensional modular origami structure that resembles a sphere.
There are also some modular designs in Chinese paper-making traditions, especially pagodas (from Maying Soong) and lotuses made from Joss paper.
But most traditional designs are single-piece and the possibilities attached to modular origami ideas were not explored further until the 1960s when the technique was recreated by Robert Neale in the US and later by Mitsunobu Sonobe in Japan. The 1970s saw a sudden period of interest and development in modular origami as a distinct field, leading to its current status in folding origami. One notable character is Steve Krimball, who finds potential in Sonobe's cube units and suggests that it can be used to create alternative polyhedral shapes, including 30-piece balls.
Since then, modular origami techniques have been popularized and widely developed, and there are now thousands of designs developed in this repertoire.
The leading modular paper makers include Robert Neale, Sonobe, Tomoko Fuse, Kunihiko Kasahara, Tom Hull, Heinz Strobl and Ekaterina Lukasheva.

Type
Modular origami forms may be flat or three dimensional. Flat forms are usually polygons (sometimes known as coasters), stars, rotor, and rings. The three-dimensional form tends to be the usual polyhedra or tesselations of simple polyhedra.
Modular origami techniques can be used to create boxes that are not only beautiful but also useful as a container for rewards. Many examples of such boxes are displayed in the Exceptional Box Origami by Tomoko Fuse.
There are some modular origami that are fractal estimates, such as the Menger sponge. Macro-modular origami is a modular origami form in which self-assembled assemblies are used as building blocks to create larger integrated structures. Such a structure is described in the book Tomoko Fuse Unit Origami-Multidimensional Transformation (published 1990).

Modeling system
Robert Neale's second module
Neale developed a system for modeling the eclateral polyhedra based on modules with varying angular angles. Each module has two pockets and two tabs, on the opposite side. The angle of each tab can be changed separately from other tabs. Each pocket can receive tabs from different angles. The most common angle forms a polygonal face:
Each module joins the other on a polyhedron node to form a polygonal face. tabs form an angle on the opposite side of a side. For example, a sub-assembly of three angles of a triangle forms a triangle, the most stable configuration. As the internal angle increases for the box, pentagon and so on, the stability decreases.
Many polyhedra calls for polygons are not equally close together. for example, the pyramid has one square face and four triangular faces. This requires hybrid modules, or modules that have different angles. The pyramid consists of eight modules, four modules as a square triangle, and four as triangles.
Next polygonal face is possible by changing the angle in each corner. The Neale module can form an equilateral polyhedron, including those with rhombic faces, such as rhombic dodecahedron (rhombic dodecahedron).
Module Mukhopadhyay
The Mukhopadhyay module can form an equilateral polyhedron. Each unit has a central crease that forms an edge, and a triangular wing that forms a face with a close-faced face. For example, the cuboctahedral assembly has 24 units, since the cuboctahedron has 24 sides. In addition, bipyramids are possible, by folding the central folds of each outgoing or convex module rather than into or concrete as for other icosahedron and stellated polyhedra. Mukhopadhyay module works best when glued, especially for polyhedra which has many sides.

Notes and references

Bibliography
- Tomoko Fuse (1990). Origami Units: Multidimensional Transformations . Japanese publications. ISBNÃ, 0-87040-852-6.
- Tomoko Fuse (1998). Extraordinary Origami Box . Japanese Publication Trade. ISBN: 0870409786. Ã,
External links
- 3dOrigamiArt.com Learn how to create 3d Origami, tutorials and artist networks.
- [1] 3D origami video tutorial by Arthur Vershigora.
- Kusudama Image
- Photo Gallery and Fold Instruction For Many Polyhedra and Variations
- Image about Menger's Sponge in origami
- Origami tetrahedron page
- Origami Geosphere Paper model of the Geodesic Sphere.
- Mukhopadhyay triangle module in super simple line
- James S. Plank, Penultimate Modular Origami
- Oxi Module by Micha? Kosmulski
- Kusudama Me! Kusudamas from Lukasheva Ekaterina, also diagrams and tutorials
- Paper Structure by Krystyna and Wojtek Burczyk
- Kusudama by Mikhail Puzakov & amp; Ludmila Puzakova: model, fold instruction, history, geometry
Source of the article : Wikipedia