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There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.In the net method, the faces of the polyhedron are placed to form an irregular shape on a flat sheet of paper, with some of these faces connected to each other within this shape; it is cut out and folded into the shape of the polyhedron, and the remaining pairs of faces are attached together.
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]
The shapes of ceremonial origami created in this period were geometric, and the shapes of noshi to be attached to gifts at feasts and weddings, and origami that imitated butterflies to be displayed on sake vessels, were quite different from those of later generations of recreational origami whose shapes captured the characteristics of real ...
Origamic architecture has become a tool many architects use to visualize the 2D as 3D in order to expand and explore on a design idea. [8] 3D origami objects can be used in the interior design, i.e. for decorating walls. [9] There are ways of doing origamic architecture using CAD (Computer-Aided-Design).
DNA origami object from viral DNA visualized by electron tomography. [1] The map is at the top and atomic model of the DNA colored below. (Deposited in EMDB EMD-2210) . DNA origami is the nanoscale folding of DNA to create arbitrary two- and three-dimensional shapes at the nanoscale.
The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.
Another variation to Sonobe models is the addition of secondary units to basic Sonobe unit forms to create new geometric shapes; some of which can be seen in Tomoko Fuse's book Unit Origami: Multidimensional Transformations (1990). [9] An example of modified Sonobe units used in a 30-unit triakis icosahedron.
"3D convex uniform polyhedra o3o5x – doe". Editable printable net of a dodecahedron with interactive 3D view; The Uniform Polyhedra; Origami Polyhedra – Models made with Modular Origami; Virtual Reality Polyhedra The Encyclopedia of Polyhedra; K.J.M. MacLean, A Geometric Analysis of the Five Platonic Solids and Other Semi-Regular Polyhedra