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Katolog > Science > Math > Recreations > Flexagons


A flexagon is a hexagon, which you can make from a strip of triangles. The objective is to open the flexagon in the middle and have a previously hidden face appear. Arthur Stone, an English graduate student, was in the practice of doodling with the strips of paper that he cut from around the edges of his notebook paper. American paper was too large for his English binder. One of the constructions arising from this happy misfortune attracted his attention in particular. A committee of graduate students formed to solve the mystery of the "flexible hexagon", or, as it soon became known, the "flexagon." The members of this group-- Richard P. Feynman, Bryant Tuckerman, John W. Tukey, and Arthur H. Stone, had laid the groundwork for all consequent study, through developing their yet unpublished theory, by the early 1940's. When the group disbanded, the flexagon was left, nearly forgotten, for ten years. Then, toward the beginning of the fifties, it received slight publicity with several very brief articles in mathematics magazines.
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Links:

Flexagon Re'flex'ions
http://hometown.aol.com/verndrei/flex00.html

Flexagon Re'flex'ions

Several possibly new trihexaflexagon phenomena are presented. The wide spectrum of findings including explorations with magic squares, palindromes, and much more freshly fans the flexagon fun.
hometown.aol.com/verndrei/flex00.html
Flexagons
http://www.dtek.chalmers.se/~d3enar/Flexagon/index.html

Flexagons

Contains an introduction and history of Flexagons and a tutorial in how to make a Hexa-hexa-flexagon.
www.dtek.chalmers.se/~d3enar/Flexagon/index.html
Flexagons
http://db.uwaterloo.ca/~eddemain/flexagons/Conrad-Hartline-1962/

Flexagons

1962 technical report which includes an introduction to the history of Flexagons.
db.uwaterloo.ca/~eddemain/flexagons/Conrad-Hartline-1962
Flexagons
http://www.geocities.com/CapeCanaveral/Hangar/7773/flexagon.html

Flexagons

Contains instructions on how to fold a flexagon, history of flexagons and printable models of some.
www.geocities.com/CapeCanaveral/Hangar/7773/flexagon.html
Flexagons
http://www.mathematische-basteleien.de/flexagons.htm

Flexagons

Includes a definition of the word, instructions on how to make a Trihexaflexagon, how to flex it and information about it and another flexagon.
www.mathematische-basteleien.de/flexagons.htm
Hexaflexagon Toolkit
http://hexaflexagon.sourceforge.net

Hexaflexagon Toolkit

A free application that can generate a hexaflexagon template and folding instructions from six user selected images. Examples Source Code included.
hexaflexagon.sourceforge.net

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