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An object created by Folding a piece of paper along certain lines to form loops. The number of states possible in an
-Flexagon is a Catalan Number. By manipulating the folds, it is possible to hide and reveal
different faces.
See also Flexatube, Folding, Hexaflexagon, Tetraflexagon
References
Crampin, J. ``On Note 2449.'' Math. Gazette 41, 55-56, 1957.
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 205-207, 1989.
Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 62-84, 1979.
Gardner, M. ``Hexaflexagons.'' Ch. 1 in The Scientific American Book of Mathematical Puzzles & Diversions.
New York: Simon and Schuster, 1959.
Gardner, M. Ch. 2 in The Second Scientific American Book of Mathematical Puzzles & Diversions: A New Selection.
New York: Simon and Schuster, pp. 24-31, 1961.
Maunsell, F. G. ``The Flexagon and the Hexaflexagon.'' Math. Gazette 38, 213-214, 1954.
Oakley, C. O. and Wisner, R. J. ``Flexagons.'' Amer. Math. Monthly 64, 143-154, 1957.
Wheeler, R. F. ``The Flexagon Family.'' Math. Gaz. 42, 1-6, 1958.
Flexagons