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Mathematics of paper folding. Map folding for a 2×2 grid of squares: there are eight different ways to fold such a map along its creases. The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened ...
Paper fortune teller. A fortune teller is a form of origami used in children's games. Parts of the fortune teller are labelled with colors or numbers that serve as options for a player to choose from, and on the inside are eight flaps, each concealing a message. The person operating the fortune teller manipulates the device based on the choices ...
Rigid origami is a branch of origami which is concerned with folding structures using flat rigid sheets joined by hinges. That is, unlike in traditional origami, the panels of the paper cannot be bent during the folding process; they must remain flat at all times, and the paper only folded along its hinges. A rigid origami model would still be ...
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 ...
A simple folded paper plane. Folding instructions for a traditional paper dart. A paper plane (also known as a paper airplane or paper dart in American English, or paper aeroplane in British English) is a toy aircraft, usually a glider, made out of single folded sheet of paper or paperboard. It typically takes the form of a simple nose-heavy ...
The regular paperfolding sequence corresponds to folding a strip of paper consistently in the same direction. If we allow the direction of the fold to vary at each step we obtain a more general class of sequences. Given a binary sequence ( fi ), we can define a general paperfolding sequence with folding instructions ( fi ).
A Foldscope is an optical microscope that can be assembled from a punched sheet of cardstock, a spherical glass lens, a light emitting diode (LED) and a diffuser panel, along with a watch battery that powers the LED. [ 4] Once assembled, the Foldscope is about the size of a bookmark. The Foldscope weighs 8 grams [citation needed] and comes in a ...
Chinese paper folding. Chinese paper folding, or zhezhi (摺紙), is the art of paper folding that originated in medieval China. The work of 20th-century Japanese paper artist Akira Yoshizawa widely popularized the Japanese word origami; however, in China and other Chinese-speaking areas, the art is referred to by the Chinese name, zhezhi.