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 and front.
Flexagons are usually square or rectangular (tetraflexagons) or hexagonal (hexaflexagons). A prefix can be added to the name to indicate the number of faces that the model can display, including the two faces (back and front) that are visible before flexing. For example, a hexaflexagon with a total of six faces is called a hexahexaflexagon.
In hexaflexagon theory (that is, concerning flexagons with six sides), flexagons are usually defined in terms of pats.[1][2]
Two flexagons are equivalent if one can be transformed to the other by a series of pinches and rotations. Flexagon equivalence is an equivalence relation.[1]
^ abOakley, C. O.; Wisner, R. J. (March 1957). "Flexagons". The American Mathematical Monthly. 64 (3). Mathematical Association of America: 143–154. doi:10.2307/2310544. JSTOR 2310544.
^Anderson, Thomas; McLean, T. Bruce; Pajoohesh, Homeira; Smith, Chasen (January 2010). "The combinatorics of all regular flexagons". European Journal of Combinatorics. 31 (1): 72–80. doi:10.1016/j.ejc.2009.01.005.
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...
invented the Tuckerman traverse method for revealing all the faces of a flexagon. On March 4, 1971, he discovered the 24th Mersenne prime, a titanic prime...
kaleidocycle is sometimes called a flexahedron in analogy to the planar flexagon, which has similar symmetry under flexing transformations. This animation...
Slitherlink Rubik's Cube Think-a-Dot Matchstick puzzle Conway's Game of Life Flexagon Polyominoes Kulkarni, D. Enjoying Math: Learning Problem Solving With KenKen...
Tukey depth Tukey's biweight function Tukey's fences Tukey window Cepstrum Flexagon Median polish Midhinge Slash distribution Theory of conjoint measurement...
the cover. Gardner wrote 5 other articles for Scientific American. His flexagon article in December 1956 was in all but name the first article in the series...
Paper folding and papercutting Chinese paper cutting Chinese paper folding Flexagon Jewish paper cutting Kirigami Net (polyhedron) Origami Action origami Pabalat...
wrappers. Wikimedia Commons has media related to Origami mathematics. Flexagon Lill's method Napkin folding problem Map folding Regular paperfolding sequence...
hexaflexagons which ran in the December 1956 issue of Scientific American. Flexagons became a bit of a fad and soon people all over New York City were making...
writer Martin Gardner. At a magic show in 1956 he introduced Gardner to flexagons and these folded paper shapes became the subject of Gardner's December...
examines connections between mathematics and art through the Möbius strip, flexagons, origami and panorama photography. Mathematical objects including the...
theorem with Paul Erdős and is credited with the discovery of the first two flexagons, a trihexaflexagon and a hexahexaflexagon while he was a student at Princeton...
based in Gibraltar and […] managed by Flexagon Capital Solutions LLP in London”; the magazine also quoted Flexagon's boss as saying that it had "'never raised...
states, the flat-folded and opened bag. Martin Gardner has popularised flexagons which are a form of rigid origami and the flexatube. Kaleidocycles are...