The Algorithmic Beauty Of Plants
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''The Algorithmic Beauty of Plants'' is a book by Przemyslaw Prusinkiewicz and
Aristid Lindenmayer Aristid Lindenmayer (17 November 1925 – 30 October 1989) was a Hungarian biologist. In 1968 he developed a type of formal languages that is today called L-systems or Lindenmayer Systems. Using those systems Lindenmayer modelled the behaviour ...
. It's notable as it is the first comprehensive volume on the computer simulation of certain
patterns in nature Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, ...
found in plant development (
L-systems An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into som ...
). The book is no longer in print but is available free online.


Contents

The book has eight chapters: * Chapter 1 - Graphical modeling using L-systems * Chapter 2 - Modeling of trees * Chapter 3 - Developmental models of herbaceous plants * Chapter 4 - Phyllotaxis * Chapter 5 - Models of plant organs * Chapter 6 - Animation of plant development * Chapter 7 - Modeling of cellular layers * Chapter 8 - Fractal properties of plants


Reception

George Klir George Jiří Klir (April 22, 1932 – May 27, 2016) was a Czech-American computer scientist and professor of systems sciences at Binghamton University in Binghamton, New York. Biography George Klir was born in 1932 in Prague, Czechoslovakia. ...
, reviewing the book in the ''
International Journal of General Systems The ''International Journal of General Systems'' is a peer-reviewed scientific journal covering research on basic and applied aspects of systems science and systems methodology. Its focus is on "general systems" – systems ideas that have ...
'', writes that "This book, full of beautiful pictures of
plants Plants are predominantly photosynthetic eukaryotes of the kingdom Plantae. Historically, the plant kingdom encompassed all living things that were not animals, and included algae and fungi; however, all current definitions of Plantae exclude ...
of great variety, is a testimony of the genius of
Aristid Lindenmayer Aristid Lindenmayer (17 November 1925 – 30 October 1989) was a Hungarian biologist. In 1968 he developed a type of formal languages that is today called L-systems or Lindenmayer Systems. Using those systems Lindenmayer modelled the behaviour ...
, who invented in 1968 systems that are now named by him -- '' Lindenmayer systems'' or ''L-systems''. It is also a testimony of the power of current computer technology. The pictures in the book are not photographs of real plants. They are all generated on the computer by relatively simple
algorithm In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing ...
s based upon the idea of L-systems." Klir goes on to explain the mathematics of L-systems, involving replacement of strings of symbols with further strings according to production rules, adding that "high computer power is essential since the generation of realistic forms requires tremendous numbers of replacements and the geometric interpretation of the generated strings requires a highly sophisticated computer graphics". Adrian Bell, reviewing the book in ''
New Phytologist ''New Phytologist'' is a peer-reviewed scientific journal published on behalf of the New Phytologist Foundation by Wiley-Blackwell. It was founded in 1902 by botanist Arthur Tansley, who served as editor until 1931. Topics covered ''New Phytolo ...
'', writes that it demands respect for three reasons, namely that it is the first book to explain the algorithms behind virtual plants, it "unashamedly" connects art and science, and is unusual in being a real book on a computer-based subject. Each chapter, writes Bell, is an introductory manual to the simulation of an aspect of plant form, resulting "eventually" in a 3-D image of a plant architecture. Peter Antonelli, reviewing the book in ''
SIAM Review Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific soci ...
'', writes that it presents a "beautifully designed 'coffee-table-book'" summary of Lindenmayer's school of thought, explaining how Algorithmic Language Theory, like
Noam Chomsky Avram Noam Chomsky (born December 7, 1928) is an American public intellectual: a linguist, philosopher, cognitive scientist, historian, social critic, and political activist. Sometimes called "the father of modern linguistics", Chomsky i ...
's theory of
grammar In linguistics, the grammar of a natural language is its set of structural constraints on speakers' or writers' composition of clauses, phrases, and words. The term can also refer to the study of such constraints, a field that includes domain ...
, can describe how repeated structural units can arrange themselves. Antonelli suggests that
Goethe Johann Wolfgang von Goethe (28 August 1749 – 22 March 1832) was a German poet, playwright, novelist, scientist, statesman, theatre director, and critic. His works include plays, poetry, literature, and aesthetic criticism, as well as tr ...
would have disapproved of having the barrier of mathematics between the observer and the observed. Karl Niklas, reviewing the book in ''
The Quarterly Review of Biology ''The Quarterly Review of Biology'' is a peer-reviewed scientific journal covering all aspects of biology. It was established in 1926 by Raymond Pearl. In the 1960s it was purchased by the Stony Brook Foundation when the editor H. Bentley Glass be ...
'', writes that the book, intended for many different audiences, is "unequally successful" in reaching them. Niklas suggests that those who wonder about how graphic artists create "the magnificent cyber-floras that sway and grow so realistically in the movies", and those who admire plant symmetry will enjoy the book. He is more skeptical about its claim to serious science as the book "fails to educate its readers" about the challenge of understanding plant form in terms of developmental biology. Therefore he believes the book falls short, the dazzling beauty of fractals not proving their relevance to biology.


References


Sources

* {{DEFAULTSORT:Algorithmic Beauty of Plants Botany books