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A family of discrete spirals

Published online by Cambridge University Press:  18 June 2020

Tony Crilly
Tony Crilly*
Affiliation:
10 Lemsford Road, St Albans AL1 3PB, e-mail: tonycrilly42@gmail.com
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Extract

Most spirals are continuous spirals, certainly those famous in history such as the traditional Archimedean spiral (r = a + bθ) and the logarithmic spirals (r = aebθ. Here we consider ‘discrete spirals’.

Type
Articles
Information
The Mathematical Gazette , Volume 104 , Issue 560 , July 2020 , pp. 215 - 224
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Copyright
© Mathematical Association 2020

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References

Hardy, G. H. and Wright, E. M.. An introduction to the theory of numbers (3rd edn.) Oxford (1954).Google Scholar
Sloane, N. J. A., Sequence A056520 in On-line encyclopedia of integer sequences (OE15), accessed January 2020.Google Scholar
Brink, D., The spiral of Theodorus and sums of zeta-values at the half-integers, Amer. Math. Monthly, 119(9) pp. 779–786 (2012).CrossRefGoogle Scholar
Wilson, Robert J., Sequence A072895 in On-line encyclopedia of integer sequences (OE15), accessed January 2020.Google Scholar