Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-15T08:36:52.450Z Has data issue: false hasContentIssue false

Film Groups

Published online by Cambridge University Press:  03 November 2016

Extract

Cyclically repeating patterns are a common feature of mathematical films. The study of the symmetries which arise in such configurations has a theoretical interest to mathematicians watching the film, and it also has a practical interest to the film maker, because the symmetries present in a diagram can often be used to reduce the labour of drawing. It does not seem that these symmetries have been commented on before, and in this article we attempt a complete enumeration of the cases which can arise.

Type
Research Article
Copyright
Copyright © Mathematical Association 1956

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Bhagavantam, S. and Venkatarayudu, T., Theory of Groups and its Application to Physical Problems. Waltair, 1951.Google Scholar
2. Speiser, A., Théorie der Qruppen von endlicher Ordnung.Google Scholar
3. W. H., and Bragg, W. L., The Crystalline State. London, 1933.Google Scholar
4. Mathematical Association Report, The Use of Visual Methods in Teaching Mathematics.Google Scholar