"Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are 'flexed'. from "Flexagons Inside Out" by Les Pook
"A flexagon is a hexagon, which you can make from a strip of triangles. The point is: If you open the flexagon in the middle, then a new face, which was hidden before appears." From Juergen Koeller's web page, http://members.tripod.de/jkoeller/flexagons.htm
"Flexagons are paper polygons, folded from straight or crooked strips of paper, which have the fascinating property of changing their faces when they are "flexed." by Martin Gardner from his December 1956 'Hexaflexagons' article in Scientific American.
"Flexagons are flat models made from folded strips of paper that can be made, by folding or 'flexing', to reveal a number of hidden faces. They are amusing toys but have also caught the interest of mathematicians." from Wikipedia
I don't know the sources of the following definitions that I found in my notes.
"A flexagon is a hexagon, which you can make from a strip of triangles. The point is: if you open the flexagon in the middle, then a new face, which was hidden before appears."
"Flexagons are figures made by folding strips of paper or cardboard into a square of hexagonal shape. They have the fascinating property of changing their faces when flexed."
"A flexagon is a polygon, usually made from paper, that can be folded in certain ways to produce a series of faces."
"A flexagon is a polygon which folds or 'flexes'. Usually made of paper or thin card, it has surfaces which comprise several smaller facets of identical shape. The polygon can be flexed so that the visible facets become hidden and the previously hidden facets become visible. If a pattern is applied to the visible surface it will disappear after
flexing or what's more remarkable, it will reappear as a different pattern."
"Flexagons are flat normally paper one-piece one-sided band constructions capable of generating different faces or designs when they are manipulated or 'flex'ed. A trihexaflexagon is a flexagon in the shape of a hexagon that is capable of producing three different faces."
Following are the definitions that I gave in the preface.
"Flexagons: flat one-piece one-sided paper band constructions capable of generating different faces or designs when manipulated or flexed."
"A three dimensional figure having polygonal faces that is constructed from a folded sheet of paper in such a way that different faces are exposed when the figure is flexed along its folds." Webster's Unabridged Dictionary's definition (second edition 1998)
For me, I just think that flexagons are phenomena with an infinite supply of highly diverse fascinations.
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