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.
Introduction

Overview & D'Arcy's Life

On Growth and Form

Heilmann & Shufeldt

Maths of Transformations

Correspondence

D'Arcy and Mathematics

Coordinate Transformations

Logarithmic Spirals

Forms of Cells

Forms and Mechanical efficiency

Shrinkage

Wartime and D'Arcy

The Leg as a Pendulum

Recreational Maths

Fibonacci Sequence

CellAggregates

Claxton Fidler

Eric Harold Neville

John Marshall

Alfred North Whitehead

Charles Robert Darling

Peter Guthrie Tait

William Peddie

Geoffrey Thomas Bennett

Dorothy Wrinch



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