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Encyclopedia > D'Arcy Wentworth Thompson
On Growth and Form by D'Arcy Wentworth Thompson, Dover edition 1992
On Growth and Form by D'Arcy Wentworth Thompson, Dover edition 1992

Sir D'Arcy Wentworth Thompson (May 2, 1860June 21, 1948) was a biologist, mathematician, classics scholar and the author of the 1917 book, On Growth and Form, an influential work of striking originality. Nobel laureate Peter Medawar called On Growth and Form "the finest work of literature in all the annals of science that have been recorded in the English tongue".[1] Born in Edinburgh, Scotland, Thompson was an early mathematical biologist[2], and a contemporary of Francis Galton and Ronald Fisher. He died in St. Andrews, Scotland. Image File history File links No higher resolution available. ... Image File history File links No higher resolution available. ... May 2 is the 122nd day of the year in the Gregorian calendar (123rd in leap years). ... 1860 is the leap year starting on Sunday. ... is the 172nd day of the year (173rd in leap years) in the Gregorian calendar. ... Year 1948 (MCMXLVIII) was a leap year starting on Thursday (link will display the 1948 calendar) of the Gregorian calendar. ... A biologist is a scientist devoted to and producing results in biology through the study of organisms. ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... For other uses, see Classics (disambiguation). ... 1917 (MCMXVII) was a common year starting on Monday of the Gregorian calendar (see link for calendar) or a common year starting on Tuesday of the 13-day slower Julian calendar (see: 1917 Julian calendar). ... The Nobel Prizes (Swedish: ), as designated in Alfred Nobels will in 1895, are awarded for physics, chemistry, physiology or medicine, literature, and peace. ... Sir Peter Brian Medawar (February 28, 1915 – October 2, 1987) was a Brazilian-born English scientist best known for his work on how the immune system rejects or accepts organ transplants. ... For other uses, see Edinburgh (disambiguation). ... This article does not cite any references or sources. ... Sir Ronald Aylmer Fisher, FRS (17 February 1890 – 29 July 1962) was an English statistician, evolutionary biologist, and geneticist. ... For other uses, see St Andrews (disambiguation). ...


Thomson was appointed Professor of Biology in Dundee (1884), Professor of Natural History at St Andrews (1917) -- a post he held for a record 64 years. Elected a Fellow of the Royal Society in 1916, he was awarded the Darwin Medal in 1946, and was knighted in 1937. He was also an outstanding Greek scholar.

Contents

On Growth and Form

The central theme of On Growth and Form is that biologists of his day overemphasized the role of evolution, and underemphasized the roles of physical laws and mechanics, as determinants of the form and structure of living organisms. He advocated structuralism as an alternative to survival of the fittest in governing the form of species. This article is about evolution in biology. ... A magnet levitating above a high-temperature superconductor demonstrates the Meissner effect. ... Classical mechanics (commonly confused with Newtonian mechanics, which is a subfield thereof) is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies. ... It has been suggested that this article be split into multiple articles accessible from a disambiguation page. ... Structuralism as a term refers to various theories across the humanities, social sciences and economics many of which share the assumption that structural relationships between concepts vary between different cultures/languages and that these relationships can be usefully exposed and explored. ... Herbert Spencer coined the phrase, survival of the fittest. ...

Transformations on crocodilian skulls
Transformations on crocodilian skulls

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. Image File history File links Drcy. ... Image File history File links Drcy. ... Bold text For other uses, see Jellyfish (disambiguation). ... For other uses, see Viscosity (disambiguation). ... Look up truss in Wiktionary, the free dictionary. ... In botany, phyllotaxis is the arrangement of the leaves on the shoot of a plant. ... A tiling with squares whose sides are successive Fibonacci numbers in length A Fibonacci spiral, created by drawing arcs connecting the opposite corners of squares in the Fibonacci tiling shown above – see golden spiral In mathematics, the Fibonacci numbers form a sequence defined by the following recurrence relation: That is...

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

Utterly sui generis, the book never quite fits into the mainstream of biological thought. It does not really present any 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." Image from Darcy Thompson On Growth and Form On re-reading the material below and having discussed it with another user, I notice that Mr. ... Image from Darcy Thompson On Growth and Form On re-reading the material below and having discussed it with another user, I notice that Mr. ... Look up transformation in Wiktionary, the free dictionary. ... Species  A. aculeatus - Lovely hatchetfish  A. affinis - Pacific hatchet fish  A. gigas - Giant hatchetfish  A. hemigymnus - Half-naked hatchetfish  A. lychnus - Tropical hatchetfish  A. olfersi  A. sladeni - Sladens hatchet fish External links Information about Argyropelecus aculeatus Categories: Stub ... Species   - Diaphanous hatchetfish     - Highlight hatchetfish   Categories: Stub ... In this shear transformation of an image of the Mona Lisa, the picture was deformed in such a way that its central vertical axis was not modified. ... Sui generis is a (post) Latin expression, literally meaning a scholar like what pradeep is or unique in its characteristics. ...


The huge (1116 pages in an edition currently in print), well-written, and extensively illustrated tome has enchanted and stimulated generations of biologists, architects, artists, and mathematicians, and, of course, those working on the boundaries of disciplines.


Perhaps the most famous part of the work is Chapter XVII, "The Comparison of Related Forms." He explored the degree to which differences in the forms of related animals could be described by means of relatively simple mathematical transformations. In mathematics, a transformation in elementary terms is any of a variety of different functions from geometry, such as rotations, reflections and translations. ...


Quote

  • "For the harmony of the world is made manifest in Form and Number, and the heart and soul and all poetry of Natural Philosophy are embodied in the concept of mathematical beauty." (On Growth and Form, 1917)

See also

Biophysics (also biological physics) is an interdisciplinary science that applies the theories and methods of physics, to questions of biology. ... Biostatistics or biometry is the application of statistics to a wide range of topics in biology. ... Evolutionary developmental biology (evolution of development or informally, evo-devo) is a field of biology that compares the developmental processes of different animals in an attempt to determine the ancestral relationship between organisms and how developmental processes evolved. ... Morphogenesis (from the Greek morphê shape and genesis creation) is one of three fundamental aspects of developmental biology along with the control of cell growth and cellular differentiation. ...

References

  • On Growth and Form, 1917, 2nd ed 1942. ISBN 0-486-67135-6

Notes

  1. ^ Bretscher, Otto. Linear algebra with applications. 3rd edition. Pearson Education, Inc., 2005. Page 66.
  2. ^ http://www.dundee.ac.uk/pressreleases/2006/prmar06/thompson.html

External links

Works

  • Glossary of Greek birds
  • On Aristotle as a biologist with a prooemion on Herbert Spencer; being the Herbert Spencer lecture delivered before the University of Oxford, on February 14, 1913 (1913)
  • Report by Professor D'Arcy Thompson on his mission to the Behring Sea in 1896, dated March 4, 1897
  • A bibliography of Protozoa, sponges, Coelenterata, and worms, including also the Polyzoa, Brachiopoda, and Tunicata, for the years 1861-1883

Sources



 

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