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Symmetries of surfaces

Published online by Cambridge University Press:  22 September 2016

Czes Kosniowski*
Affiliation:
School of Mathematics, The University, Newcastle upon Tyne NEI 7RU

Extract

Most school mathematics courses nowadays include a study of symmetry in the euclidean sense—isometries in 2- or 3-dimensional euclidean space which map a figure to itself. This article explores the theme of symmetry in a more general, topological sense. It could form the basis of a short self-contained unit in topology with a worthwhile end-point, which teachers might care to try out with students at sixth form level or perhaps in a college of education course.

Type
Research Article
Copyright
Copyright © Mathematical Association 1978

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References

The author offers £5 for the first ‘elementary’ proof of this fact.