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Examples of modular origami made up of Sonobe units: an augmented icosahedron and an augmented octahedron, which require 30 and 12 units, respectively. Shuriken kusudama made from 12 Sonobe units The table below shows the correlation between three basic characteristics – faces, edges, and vertices – of polygons (composed of Toshie's Jewel ...
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.
Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
Jun Maekawa (前川 淳, Maekawa Jun, 1958-) is a Japanese software engineer, mathematician, and origami artist. He is known for popularizing the method of utilizing crease patterns in designing origami models, with his 1985 publication Viva Origami, as well as other paperfolding-related theorems and mathematical analysis.
Axioms 1 through 6 were rediscovered by Japanese-Italian mathematician Humiaki Huzita and reported at the First International Conference on Origami in Education and Therapy in 1991. Axioms 1 though 5 were rediscovered by Auckly and Cleveland in 1995. Axiom 7 was rediscovered by Koshiro Hatori in 2001; Robert J. Lang also found axiom 7.
A regular octahedron is an octahedron that is a regular polyhedron. All the faces of a regular octahedron are equilateral triangles of the same size, and exactly four triangles meet at each vertex. A regular octahedron is convex, meaning that for any two points within it, the line segment connecting them lies entirely within it.
Toshikazu Kawasaki (川崎敏和, Kawasaki Toshikazu, born November 26, 1955 in Kurume, Fukuoka) is a Japanese paperfolder and origami theorist who is known for his geometrically innovative models. He is particularly famous for his series of fourfold symmetry "roses", all based on a twisting maneuver that allows the petals to seem to curl out ...
Common net for both a octahedron and a Tritetrahedron.. In geometry, a common net is a net that can be folded onto several polyhedra.To be a valid common net, there shouldn't exist any non-overlapping sides and the resulting polyhedra must be connected through faces.
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