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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 ).
Froebel stars as part of Christmas decoration. A Froebel star (German: Fröbelstern) is a Christmas decoration made of paper, common in Germany. [1] In English it does not have a commonly recognised name; it can be referred to as an Advent star, Danish star, German star, Nordic star, Pennsylvanian star, Polish star, Swedish star, Christmas star, or Froebel star. [2]
Strip folding is a combination of paper folding and paper weaving. [30] A common example of strip folding is called the Lucky Star, also called Chinese lucky star, dream star, wishing star, or simply origami star. Another common fold is the Moravian star which is made by strip folding in a 3-dimensional design to include 16 spikes. [30]
A paper fortune teller may be constructed by the steps shown in the illustration below: [1] [2] The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases.
The paper is folded in front of itself. A dashed and dotted line shows a mountain fold (there may be one or two dots per dash depending on the author). The paper is folded behind itself, this is normally done by turning the paper over, folding a valley fold and then turning the paper back over again. A thin line shows where a previous fold has ...
In the United States, the term kirigami was coined by Florence Temko from Japanese kiri, ' cut ', and kami, ' paper ', in the title of her 1962 book, Kirigami, the Creative Art of Paper cutting. The book achieved enough success that the word kirigami was accepted as the Western name for the art of paper cutting. [1]
In January 2002, she folded a 4,000-foot-long (1,200 m) piece of toilet paper twelve times in the same direction, debunking a long-standing myth that paper cannot be folded in half more than eight times. [21] [22] The fold-and-cut problem asks what shapes can be obtained by folding a piece of paper flat, and making a single straight complete ...
Pages in category "Paper folding" ... Fold-and-cut theorem; Foldscope; Paper football; FPG-9; Froebel star; G. Geometric Exercises in Paper Folding; Geometric Folding ...