Hexaflexagons

[i][b]Hexaflexagon[/b][/i] (or TRI-Hexaflexagon) is a paper polygon with a surprising number of faces.[br]The discovery of the first flexagon, a [i][b]trihexaflexagon[/b][/i], is credited to the British student [url=https://en.wikipedia.org/wiki/Arthur_Harold_Stone]Arthur H. Stone[/url], who was studying at [url=https://en.wikipedia.org/wiki/Princeton_University]Princeton University[/url] in the United States in 1939. His new American paper would not fit in his English binder so he cut off the ends of the paper and began folding[br] them into different shapes[sup]. [/sup]One of these formed a [i][b]trihexaflexagon[/b][/i]. Stone's colleagues [url=https://en.wikipedia.org/wiki/Bryant_Tuckerman]Bryant Tuckerman[/url], [url=https://en.wikipedia.org/wiki/Richard_Feynman]Richard Feynman[/url], and [url=https://en.wikipedia.org/wiki/John_Tukey]John Tukey[/url] became interested in the idea and formed the Princeton Flexagon Committee. Tuckerman worked out a [url=https://en.wikipedia.org/wiki/Topology]topological[/url] method, called the Tuckerman traverse, for revealing all the faces of a flexagon[sup].[/sup][br][br]Flexagons were introduced to the general public by the [url=https://en.wikipedia.org/wiki/Recreational_mathematics]recreational mathematician[/url] [url=https://en.wikipedia.org/wiki/Martin_Gardner]Martin Gardner[/url] in 1956 in the first [i][url=https://en.wikipedia.org/wiki/Mathematical_Games_(column)]Mathematical Games[/url][/i] column which he wrote for [i][url=https://en.wikipedia.org/wiki/Scientific_American]Scientific American[/url][/i] magazine[sup]. [/sup]In 1974, the magician [url=https://en.wikipedia.org/wiki/Doug_Henning]Doug Henning[/url] included a construct-your-own hexaflexagon with the original cast recording of his Broadway show [i][url=https://en.wikipedia.org/wiki/The_Magic_Show]The Magic Show[/url][/i].
How to build a Hexaflexagon

Information: Hexaflexagons