Since its discovery in the 19th century, the astonishing one-sided, one-edged Möbius strip has confounded and fascinated generations of people, inspiring stories, magic tricks, patents, artworks, cartoons, playground equipment, and much else. Learn more than you ever thought possible about how a mathematical object conquered the modern world.
Barr, S. Experiments in Topology. Dover, 1989.
Burger, E.B., and M. Starbird. 2000. The band that didn't stop playing. In The Heart of Mathematics: An Invitation to Effective Thinking. Key College Publishing.
Fauvel, J., R. Flood, and R. Wilson, eds. 1993. Möbius and his Band: Mathematics and Astronomy in Nineteenth-Century Germany. Oxford University Press.
Gardner, M. 1989. Möbius bands. In Mathematical Magic Show. Mathematical Association of America.
______. 1956. Mathematics, Magic and Mystery. Dover.
Jones, P., and J. Powell. 1999. Gary Anderson has been found! Resource Recycling (May).
Long, C. 1998. Bug bands and monkey saddles. Math Horizons 5(April):24-28. Preprint.
______. 1996. Möbius or almost Möbius. College Mathematics Journal 27(September):277.
Peterson, I. 2007. Knitting network. MAA Online (Jan. 29).
______. 2006. Möbius at the shopping mall. MAA Online (May 22).
______. 2003. Strolling down Möbius lane. MAA Online (Nov. 3).
______. 2003. Recycling topology. MAA Online (April 28).
______. 2002. Crystal Möbius. MAA Online (May 27).
______. 2001. Fragments of Infinity: A Kaleidoscope of Math and Art. Wiley.
Peterson, Ivars. 2001. Möbius accordion. MAA Online (June 9).
______. 2000. Möbius at Fermilab. MAA Online (Sept. 4).
______. 2000. Möbius and his band. MAA Online (July 10).
______. 1999. Möbius in the playground. MAA Online (May 24).
______. 1999. Chasing arrows. Muse 3(January):27-28.
Peterson, Ivars, and Nancy Henderson. 2000. Math Trek: Adventures in the MathZone. New York: Wiley.
Pickover, C.A, 2006. The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology. Thunder's Mouth Press.
A brief biography of August Ferdinand Möbius can be found at http://www-history.mcs.st-and.ac.uk/history/Biographies/Mobius.html.
Möbius strips have played pivotal roles in a number of short stories. The following stories appear in Fantasia Mathematica, edited by Clifton Fadiman. (New York: Copernicus, 1997):
Copyright © 2009 by Ivars Peterson