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Drawings from a three volume set of wood carvings, Ranma-Zushiki (『欄間図式』, "ranma sketches") published in 1743 by Ōoka Shunboku, featured a colored origami cube. In 1993, Yasuo Koyanagi identified the cube as the Tamatebako, and the model was published in the book "Koten-ni-miri-origami" by Satoshi Tagaki.
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 ...
Similar to Soma cube is the 3D pentomino puzzle, which can fill boxes of 2×3×10, 2×5×6 and 3×4×5 units. The Bedlam cube is a 4×4×4 sided cube puzzle consisting of twelve pentacubes and one tetracube. The Diabolical cube is a puzzle of six polycubes that can be assembled together to form a single 3×3×3 cube.
Folding a Sonobe module (1–10) and assembly into a pyramid (11–12); * denote tabs and # denote pockets [10] Each individual unit is folded from a square sheet of paper, of which only one face is visible in the finished module; many ornamented variants of the plain Sonobe unit that expose both sides of the paper have been designed.
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]
Kunihiko Kasahara (笠原 邦彦, Kasahara Kunihiko) (born 1941) is a Japanese origami master. He has made more than a hundred origami models, from simple lion masks to complex modular origami, such as a small stellated dodecahedron.
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.
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.
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