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Interlinked loops

Published online by Cambridge University Press:  01 August 2016

G. C. Shephard
G. C. Shephard*
Affiliation:
17 Mill Green, Stoke Holy Cross, Norwich NR14 8PB e-mail: G.C.Shephard@uea.ac.uk
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Extract

Many problems in topology are easy to state, but some are extremely difficult to solve. And even if they are easy, they may have surprising solutions. For example, take a tyre inner tube, that is, a toroidal surface with a hole (for the valve!). Can one turn it inside out? The answer is ‘yes’ but if one actually carries out this procedure the result is entirely unexpected.

Type
Articles
Information
The Mathematical Gazette , Volume 90 , Issue 518 , July 2006 , pp. 249 - 252
Copyright
Copyright © The Mathematical Association 2006

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References

1. Cundy, H. M. and Rollett, A. P. Mathematical Models (2nd edn.), Oxford University Press (1961), Chapter 2.Google Scholar