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The book is organized into three sections, on linkages, origami, and polyhedra. [1] [2]Topics in the section on linkages include the Peaucellier–Lipkin linkage for converting rotary motion into linear motion, [4] Kempe's universality theorem that any algebraic curve can be traced out by a linkage, [1] [4] the existence of linkages for angle trisection, [1] and the carpenter's rule problem on ...
The construction of origami models is sometimes shown as crease patterns. The major question about such crease patterns is whether a given crease pattern can be folded to a flat model, and if so, how to fold them; this is an NP-complete problem. [32] Related problems when the creases are orthogonal are called map folding problems.
Kawasaki's theorem or Kawasaki–Justin theorem is a theorem in the mathematics of paper folding that describes the crease patterns with a single vertex that may be folded to form a flat figure. It states that the pattern is flat-foldable if and only if alternatingly adding and subtracting the angles of consecutive folds around the vertex gives ...
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A stellated icosahedron made from custom papers. 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 ...
Book folding is the stage of the book production process in which the pages of the book are folded after printing and before binding. [1] Until the middle of the 19th century, book folding was done by hand, and was a trade. In the 1880s and 1890s, book folding machines by Brown and Dexter came onto the market, and by the 1910s hand-folding was ...
The Biden administration offered federal resources to Donald Trump and Kamala Harris for presidential transition planning for the first time Tuesday, with experts suggesting both are behind in ...
Vice President Harris now holds a 7-point lead over former President Trump, according to a new national survey. The survey, conducted by Reuters and Ipsos, found Harris leading with 46.61 percent ...
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