A flexagon-like structure created by connecting the ends of a strip of four squares after folding along diagonals. Using a number of folding movements, it is possible to flip the flexatube inside out so that the faces originally facing inward face outward. Gardner (1961) illustrated one possible solution, and Steinhaus (1999) gives a second.
Flexatube
See also
Flexagon, Hexaflexagon, TetraflexagonExplore with Wolfram|Alpha
References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 205, 1989.Gardner, M. The Second Scientific American Book of Mathematical Puzzles & Diversions: A New Selection. New York: Simon and Schuster, pp. 29-31, 1961.Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, pp. 177-181 and 190, 1999.Referenced on Wolfram|Alpha
FlexatubeCite this as:
Weisstein, Eric W. "Flexatube." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Flexatube.html