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Seven Region Maps on A Torus

Published online by Cambridge University Press:  03 November 2016

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It is well known that any map on a torus can be coloured with seven colours so that no two contiguous regions are of the same colour, and that fewer than seven colours will not suffice as there exist maps of seven regions of which each one abuts on to each other. In this paper all such maps of seven regions are analysed and a simple method of constructing them is given.

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Type
Research Article
Copyright
Copyright © The Mathematical Association 1955

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