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A supergolden rectangle

Published online by Cambridge University Press:  01 August 2016

Tony Crilly
Tony Crilly*
Affiliation:
Middlesex University, Trent Park, Bramley Rd. London N14 4XS
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Extract

Can we produce a ratio ψ to rival the golden ratio ϕ? In this article I shall construct a variant of the classical golden rectangle by choosing a different geometrical property. The rectangle described has more advanced mathematical properties than its golden relation, though it is not extravagant. In this sense it could be described as a supergolden rectangle.

Type
Research Article
Information
The Mathematical Gazette , Volume 78 , Issue 483 , November 1994 , pp. 320 - 325
Copyright
Copyright © The Mathematical Association 1994

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References

1. Huntley, H.E., The Divine Proportion, Dover (1970).Google Scholar
2. Langman, H., Play mathematics, Hafner (1962).Google Scholar
3. Sloane, N.J.A., A handbook of integer sequences, (seq. no. 207), Academic Press (1973).Google Scholar