Blooming (geometry)
In the geometry of convex polyhedra, blooming or continuous blooming is a continuous three-dimensional motion of the surface of the polyhedron, cut to form a polyhedral net, from the polyhedron into a
Schwarz lantern
In mathematics, the Schwarz lantern is a polyhedral approximation to a cylinder, used as a pathological example of the difficulty of defining the area of a smooth (curved) surface as the limit of the
Flexagon
In geometry, flexagons are flat models, usually constructed by folding strips of paper, that can be flexed or folded in certain ways to reveal faces besides the two that were originally on the back an
Moneygami
Moneygami (also known as money-gami) is the shaping of paper currency, such as Indian rupees or United States dollars, into pieces of art. The word is a portmanteau of money and origami. The concept h
Napkin folding problem
The napkin folding problem is a problem in geometry and the mathematics of paper folding that explores whether folding a square or a rectangular napkin can increase its perimeter. The problem is known
Regular paperfolding sequence
In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite sequence of 0s and 1s. It is obtained from the repeating partial sequence 1, ?, 0, ?, 1, ?, 0,
Paper craft
Paper craft is a collection of crafts using paper or card as the primary artistic medium for the creation of two or three-dimensional objects. Paper and card stock lend themselves to a wide range of t
Origamic architecture
Origamic Architecture is a form of kirigami that involves the three-dimensional reproduction of architecture and monuments, on various scales, using cut-out and folded paper, usually thin paperboard.
Rigid origami
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
Akira Yoshizawa
Akira Yoshizawa (吉澤 章 Yoshizawa Akira; 14 March 1911 – 14 March 2005) was a Japanese origamist, considered to be the grandmaster of origami. He is credited with raising origami from a craft to a livin
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. Such shapes include
Miura fold
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 a smaller area. The fold is named for its inventor, Japanese astrophysicist Kōryō Miura. The creas
Huzita–Hatori axioms
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axi
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 mode
Dragon curve
A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. The dragon curve is probably most commonly thought
Iris folding
Iris folding is a paper craft technique that involves folding strips of colored paper in such a way to form a design. The center of the design forms an iris—a shape reminiscent of the iris diaphragm o
Paper football
Paper football (also called FIKI football, finger football, flick football, or tabletop football) refers to a table-top game, loosely based on American football, in which a sheet of paper folded into
Foldscope
A Foldscope is an optical microscope that can be assembled from simple components, including a sheet of paper and a lens. It was created by Manu Prakash and designed to cost less than one USD to build
Origamics
Origamics: Mathematical Explorations Through Paper Folding is a book on the mathematics of paper folding by , a Japanese retired biology professor. It was edited and translated into English by Josefin
Hotel toilet paper folding
Hotel toilet paper folding is a common practice performed by hotels worldwide as a way of assuring guests that the bathroom has been cleaned. The common fold normally involves creating a triangle or "
Lill's method
In mathematics, Lill's method is a visual method of finding the real roots of a univariate polynomial of any degree. It was developed by Austrian engineer Eduard Lill in 1867. A later paper by Lill de
Yoshimura buckling
In mechanical engineering, Yoshimura buckling is a triangular mesh buckling pattern found in thin-walled cylinders under compression along the axis of the cylinder, producing a corrugated shape resemb
Polytetrahedron
Polytetrahedron is a term used for three distinct types of objects, all basedon the tetrahedron:
* A uniform convex 4-polytope made up of 600 tetrahedral cells. It is more commonly known as a 600-cel
Kawasaki's theorem
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 stat
Wet-folding
Wet-folding is an origami technique developed by Akira Yoshizawa that employs water to dampen the paper so that it can be manipulated more easily. This process adds an element of sculpture to origami,
Big-little-big lemma
In the mathematics of paper folding, the big-little-big lemma is a necessary condition for a crease pattern with specified mountain folds and valley folds to be able to be folded flat. It differs from
FPG-9
The FPG-9 Foam Plate Glider is a simple, hand-launched glider made from a 9 inch (23 cm) foam dinner plate, featuring a moveable rudder and elevons, allowing for an inexpensive way to teach basic flig
Mathematics of paper folding
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 flatten
Blind bill folding
In the United States, some blind or otherwise visually-impaired people fold dollar bills in specific ways so that they can identify the denominations of the bills by feel. Though some people have thei
Paper popper
A paper popper is a party prank that is commonly used in schools. There are many variations of a paper popper, but they all involve a folded sheet of paper being gripped and right down. This causes ai
Kaleidocycle
A kaleidocycle (or flextangle) is a flexible polyhedron connecting 6 tetrahedra (or disphenoids) on opposite edges into a cycle. If the faces of the disphenoids are equilateral triangles, it can be co
Lamina emergent mechanism
Lamina Emergent Mechanisms (also known as LEMs) are more commonly referred to as "Pop-up Mechanisms" as seen in "pop-up-books". LEM is the technical term of such mechanisms or engineering. LEMs are a
Froebel star
A Froebel star (German: Fröbelstern) is a Christmas decoration made of paper, common in Germany. In English it does not have a commonly recognised name; it can be referred to as Advent star, Danish st
A History of Folding in Mathematics
A History of Folding in Mathematics: Mathematizing the Margins is a book in the history of mathematics on the mathematics of paper folding. It was written by Michael Friedman and published in 2018 by
Scottish book sculptures
The Scottish book sculptures are a group of book sculptures that were contrived to be "found" in Scotland between 2011 and 2013. The sculptures are on topics mostly concerning Scottish literature and
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 wor
Maekawa's theorem
Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley a
Geometric Folding Algorithms
Geometric Folding Algorithms: Linkages, Origami, Polyhedra is a monograph on the mathematics and computational geometry of mechanical linkages, paper folding, and polyhedral nets, by Erik Demaine and
Geometric Exercises in Paper Folding
Geometric Exercises in Paper Folding is a book on the mathematics of paper folding. It was written by Indian mathematician T. Sundara Row, first published in India in 1893, and later republished in ma
Map folding
In the mathematics of paper folding, map folding and stamp folding are two problems of counting the number of ways that a piece of paper can be folded. In the stamp folding problem, the paper is a str
Paper snowflake
A paper snowflake is a type of paper craft based on a snowflake that combines origami with papercutting. The designs can vary significantly after doing mandatory folding. An online version of the craf
Paper fortune teller
A fortune teller (also called a cootie catcher, chatterbox, salt cellar, whirlybird, or paku-paku) is a form of origami used in children's games. Parts of the fortune teller are labelled with colors o