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2. Fold-and-cut theorem - Wikipedia

   en.wikipedia.org/wiki/Fold-and-cut_theorem

   The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [ 1 ] Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes (i.e. the regions need not be connected).

3. Mathematics of paper folding - Wikipedia

   en.wikipedia.org/wiki/Mathematics_of_paper_folding

   The fold-and-cut problem asks what shapes can be obtained by folding a piece of paper flat, and making a single straight complete cut. The solution, known as the fold-and-cut theorem, states that any shape with straight sides can be obtained. A practical problem is how to fold a map so that it may be manipulated with minimal effort or movements.

4. Origami - Wikipedia

   en.wikipedia.org/wiki/Origami

   Origami (折り紙, Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami], from ori meaning "folding", and kami meaning "paper" (kami changes to gami due to rendaku)) is the Japanese art of paper folding. In modern usage, the word "origami" is often used as an inclusive term for all folding practices, regardless of their culture of origin.

5. Missing square puzzle - Wikipedia

   en.wikipedia.org/wiki/Missing_square_puzzle

   The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

6. Tangram - Wikipedia

   en.wikipedia.org/wiki/Tangram

   The tangram (Chinese: 七巧板; pinyin: qīqiǎobǎn; lit. 'seven boards of skill') is a dissection puzzle consisting of seven flat polygons, called tans, which are put together to form shapes. The objective is to replicate a pattern (given only an outline) generally found in a puzzle book using all seven pieces without overlap.

7. History of origami - Wikipedia

   en.wikipedia.org/wiki/History_of_origami

   An example of modular origami (geometric shapes formed from Sonobe units) Friedrich Fröbel, inventor of the kindergartens, recognized paper binding, he was weaving, folding, and cutting as teaching aids for child development during the early 19th century. [17] As the kindergarten system spread throughout Europe and into the rest of the world, it brought with it the small colored squares that ...