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  2. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    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.

  3. Tamatebako (origami) - Wikipedia

    en.wikipedia.org/wiki/Tamatebako_(origami)

    The folding pattern for this form was documented by Isao Honda in 1933 alongside the simple cube. It was also documented by Harry Houdini as a "Japanese hexagon puzzle box" in 1922 without the simple cube version, in the company of several other traditional models which he learned from a Japanese acquaintance. Like the cube, this form can also ...

  4. Modular origami - Wikipedia

    en.wikipedia.org/wiki/Modular_origami

    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]

  5. Sonobe - Wikipedia

    en.wikipedia.org/wiki/Sonobe

    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.

  6. Möbius strip - Wikipedia

    en.wikipedia.org/wiki/Möbius_strip

    A thin paper strip with its ends joined to form a Möbius strip can bend smoothly as a developable surface or be folded flat; the flattened Möbius strips include the trihexaflexagon. The Sudanese Möbius strip is a minimal surface in a hypersphere, and the Meeks Möbius strip is a self-intersecting minimal surface in ordinary Euclidean space ...

  7. Paper fortune teller - Wikipedia

    en.wikipedia.org/wiki/Paper_fortune_teller

    16th-century horoscope of archbishop John Hamilton, cast by Gerolamo Cardano, with lines resembling the fold lines of a paper fortune teller. Certain horoscopes from as far back as 12th-century Spain have a layout resembling this fold pattern, but they are not known to have been folded, nor to have been used in the same way as a paper fortune ...

  8. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    Animation of the missing square puzzle, showing the two arrangements of the pieces and the "missing" square Both "total triangles" are in a perfect 13×5 grid; and both the "component triangles", the blue in a 5×2 grid and the red in an 8×3 grid.

  9. Miura fold - Wikipedia

    en.wikipedia.org/wiki/Miura_fold

    Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles. Animation of the folding and unfolding of a Miura-creased material. The Miura fold (ミウラ折り, Miura-ori) is a method of folding a flat surface such as a sheet of paper into