11/28/2023 0 Comments Modular origami shapesMany models are comprised of polyhedra made from regular polygons these are probably the easiest ones to understand. The aforementioned groupings are only for polyhedra with regular-polygonal faces of course, a theoretical infinity of irregular-polygonal polyhedra, as well as irregular-verticed, regular polygonal polyhedra are possible, but only the simpler ones are practical to construct with Ow's methods, due to their size and interlocking limitations imposed by the geometry of the given model. There are several other groups, but those groupings are less commonly used. There are 13 of these (depending on the exact definition - for more, see the going further page), shown in the second render. Another common group is the Archimedean Solids, which all consist of identical vertices but a variety of faces (two or more types of regular polygons). They are the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Possibly the most fundamental group is the Platonic Solids (all consist of identical, regular polygons, shown in a render above). Polyhedra are named and classified based on the number and type of faces, and their symmetry, as well as how they can be constructed. They are built from polygons ( gon - angle/corner), which are 2D geometric shapes. Polyhedron: from poly (many) and hedron (face). Papercutter or scissors (unless you want to crease and tear, which isn't quite as pretty) Paper: origami paper is better, but printer paper usually works fine That aside, let's get started! All you need is: When you're done, please give me ideas for improvement and addition. To equip you to come up with new compounds and modular constructions, I will cover a bit of theory on polyhedra and the polygons that make them up, explain how to fold Ow units and how to adjust the design to a variety of angles for making different polygons, and then leave you with some pictures, links, and ideas for going further. The units (the individual modules in a model) that I will explain were more or less originally conceptualized by Francis Ow. A wireframe is a 2-d or 3-d shape where only the edges are solidified, leaving open faces. In this instructable, I'll talk about only one variety of modular origami: wireframes made from Ow units. The majority of the models shown above are compounds of multiple intersecting shapes, which is where the variety really opens up. Modular origami leans more toward the mathematical side, but the potential for a practically infinite variety of shapes that are (both visually and theoretically) beautiful is also rather artistic. Origami is a lovely example of the too-often-ignored (although frequent) intersections between science and art. I have folded for a few years now, and, while I am still no master of this art, I want to share at least a part of it with others. I was never truly intrigued by origami until I ran into modular origami.
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