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Further forays into n dimensions

Published online by Cambridge University Press:  01 August 2016

Douglas Quadling
Douglas Quadling*
Affiliation:
12 Archway Court, Barton Road, Cambridge CB3 9LW
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Extract

In an article in the Gazette for November 2005 [1] Martin Griffiths described some ideas which he had explored with a Further Mathematics class based on extensions of the Platonic solids in more than 3 dimensions. This reminded me of an investigation I had myself undertaken with similar groups of students. Whilst giving a glimpse of ways in which mathematics can develop through generalisation, it also led to some unusual applications of the binomial theorem.

Type
Articles
Information
The Mathematical Gazette , Volume 91 , Issue 522 , November 2007 , pp. 462 - 468
Copyright
Copyright © The Mathematical Association 2007

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References

1. Griffiths, Martin n-dimensional enrichment for Further Mathematicians, Math. Gaz. 89 (November 2005) p. 409.Google Scholar
2. Coxeter, H. S. M. Regular polytopes, Cambridge University Press (1948).Google Scholar
3. Lakatos, Imre (ed. Worrall, John and Zahar, Elie), Proofs and refutations: the logic of mathematical discovery, Cambridge University Press (1976).Google Scholar
4. Cundy, H. M. and Rollett, A. P. Mathematical models, Oxford University Press (1952).Google Scholar