A hexaflexagon is a flexagon made by folding a strip
into adjacent equilateral triangles .
In the abstract ordered-pat model for flexagons , the total number of configurations of order 6 is the Catalan
number
See also Flexagon ,
Flexatube ,
Tetraflexagon
Explore with Wolfram|Alpha
References Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Gardner,
M. "Hexaflexagons." Ch. 1 in The Scientific American Book of Mathematical
Puzzles & Diversions. New York: Simon and Schuster, pp. 1-14, 1959.
https://books.google.com/books?id=ErAyAAAAMAAJ . Gardner,
M. "Tetraflexagons." Ch. 2 in The
Second Scientific American Book of Mathematical Puzzles & Diversions: A New Selection. Gardner, M. "Hexaflexagons."
Ch. 1 in Hexaflexagons
and Other Mathematical Diversions: The First Scientific American Book of Puzzles
and Games. 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. https://doi.org/10.1080/00029890.1957.11988951 . Pook,
L. "Hexaflexagons." Ch. 4 in Flexagons:
Inside Out. Wheeler,
R. F. "The Flexagon Family." Math. Gaz. 42 , 1-6, 1958. Referenced
on Wolfram|Alpha Hexaflexagon
Cite this as:
Weisstein, Eric W. "Hexaflexagon." From
MathWorld https://mathworld.wolfram.com/Hexaflexagon.html
Subject classifications
.
The order in that model is the total degree of the two pats; it is not the number
of sides of the hexagonal shape, and this total is not the number of states of each
fixed paper hexaflexagon.
