Fibonacci Sequence


The Fibonacci sequence is a sequence of numbers (the Fibonacci numbers) in which each number is the sum of the two preceding ones, starting from 0 and 1. That is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 51, ...

These numbers were of interest to D'Arcy because the sequence appears in nature frequently, for example in phyllotaxis and arrangements of pine cones. D'Arcy, for a period, was particularly interested in these numbers in relation to the number of ray flowers of the White Daisy (ms26206). While recovering from broken ribs, Bennett derived a formula, shown below, that he thought might have related to the problem (ms26062) and asked whether the daisy might be "supermodally orchidaceous". In the end, Dorothy Wrinch's pressing marital issues and financial situation drew D'Arcy's attention away from the problem.


The numbers also closely relate to the golden ratio, and thus the golden spiral: a logarithmic spiral whose growth factor is the golden ratio.

The Golden Spiral
The Fibonacci Sequence in Nature


Geoffrey Thomas Bennett



Overview & D'Arcy's Life


On Growth and Form


Heilmann & Shufeldt


Maths of Transformations




D'Arcy and Mathematics


Coordinate Transformations


Logarithmic Spirals


Forms of Cells


Forms and Mechanical efficiency




Wartime and D'Arcy


The Leg as a Pendulum


Recreational Maths


Fibonacci Sequence




All Correspondence Links

Claxton Fidler


Eric Harold Neville


John Marshall


Alfred North Whitehead


Charles Robert Darling


Peter Guthrie Tait


William Peddie


Geoffrey Thomas Bennett


Dorothy Wrinch


Main Index Biographies Index

The support of The Strathmartine Trust towards this website is gratefully acknowledged    

Cammy Sriram and Edward Smith © July 2019
Creative Commons LicenceExcept where otherwise indicated, the text in this work by Cammy Sriram and Edd Smith is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
School of Mathematics and Statistics
University of St Andrews, Scotland

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