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D'Arcy Wentworth Thompson

 
Wikipedia: D'Arcy Wentworth Thompson
On Growth and Form by D'Arcy Wentworth Thompson, 1942 edition, 1992 Dover reprint

Sir D'Arcy Wentworth Thompson (2 May 1860, Edinburgh21 June 1948, St. Andrews, Scotland) was a biologist, mathematician, and classics scholar. A pioneering mathematical biologist,[1] he is mainly remembered as the author of the 1917 book, On Growth and Form, an influential work of striking originality and elegance. Peter Medawar, the 1960 Nobel Laureate in Medicine, called it "the finest work of literature in all the annals of science that have been recorded in the English tongue".[2]

Contents

Life

In 1878, he matriculated at University of Edinburgh to study medicine. Two years later, he shifted his studies to Cambridge University, obtaining the BA in Natural Science in 1883. In 1884, he was appointed Professor of Biology at University College, Dundee, a post he held for a record 64 years. In 1917, he was appointed to the Chair of Natural History at St Andrews University. In 1896, he carried out an expedition to the Bering Straits. Elected a Fellow of the Royal Society in 1916, he was knighted in 1937 and awarded the Darwin Medal in 1946.

On Growth and Form

The central theme of On Growth and Form is that biologists of its author's day overemphasized evolution as the fundamental determinant of the form and structure of living organisms, and underemphasized the roles of physical laws and mechanics. He advocated structuralism as an alternative to survival of the fittest in governing the form of species.

Transformations on crocodilian skulls

On the concept of allometry, Thompson wrote:

"An organism is so complex a thing, and growth so complex a phenomenon, that for growth to be so uniform and constant in all the parts as to keep the whole shape unchanged would indeed be an unlikely and an unusual circumstance. Rates vary, proportions change, and the whole configuration alters accordingly."

Thompson pointed out example after example of correlations between biological forms and mechanical phenomena. He showed the similarity in the forms of jellyfish and the forms of drops of liquid falling into viscous fluid, and between the internal supporting structures in the hollow bones of birds and well-known engineering truss designs. His observations of phyllotaxis (numerical relationships between spiral structures in plants) and the Fibonacci sequence has become a textbook staple.

Perhaps the most famous part of the work is chapter XVII, "The Comparison of Related Forms," where Thompson explored the degree to which differences in the forms of related animals could be described by means of relatively simple mathematical transformations.

Thompson's illustration of the transformation of Argyropelecus olfersi into Sternoptyx diaphana by applying a 70° shear mapping

Utterly sui generis, the book never quite fit into the mainstream of biological thought. It does not really include a single unifying thesis, nor, in many cases, does it attempt to establish a causal relationship between the forms emerging from physics with the comparable forms seen in biology. It is a work in the "descriptive" tradition; Thompson did not articulate his insights in the form of experimental hypotheses that can be tested. Thompson was aware of this, saying that "This book of mine has little need of preface, for indeed it is 'all preface' from beginning to end."

This huge (the current Dover edition is 1116pp long), well-written, and extensively illustrated tome has enchanted and stimulated several generations of biologists, architects, artists, mathematicians, and, of course, those working on the boundaries of disciplines. There is a shorter (328pp) edition which preserves most of the material that is of interest to the modern reader.

Notes

  1. ^ University of Dundee : External Relations : Press Office
  2. ^ Bretscher, Otto. Linear algebra with applications. 3rd edition. Pearson Education, Inc., 2005. Page 66.

See also

References

345 pages

  • Sermonti, Giuseppe, "Wagner and Darwin, Hanslick and D'Arcy: from the whirlpools of becoming to the mathematical beauty.", Riv. Biol. 97 (3): 357–64, PMID 15754590 

External links

Other works by Thompson

Sources


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