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Illustrations of Simple Group Theory

Published online by Cambridge University Press:  03 November 2016

J. Holland
J. Holland*
Affiliation:
Ministry of Education, Inspectorate Section, P.O. Box 30426, Nairobi
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Extract

It is well known that the six rotations of an equilateral triangle form a group; that is to say that, if an equilateral triangle ABC occupies a certain triangular space, there are six operations and six only which when performed either singly or in succession will leave the triangle still occupying the same space, but with vertices in different positions. The set of six possible orientations of the movable triangle are drawn below and numbered.

Type
Research Article
Information
The Mathematical Gazette , Volume 48 , Issue 363 , February 1964 , pp. 47 - 57
Copyright
Copyright © Mathematical Association 1964

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