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The Virtual Laboratory Ser.: Algorithmic Beauty of Plants by Aristid Lindenmayer and Przemyslaw Prusinkiewicz (1996, Trade Paperback)

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Explore the fascinating world of plant growth and development with "The Algorithmic Beauty of Plants" by Aristid Lindenmayer and Przemyslaw Prusinkiewicz. This textbook, published by Springer NY in 1996, is part of the esteemed Virtual Laboratory Series and contains 228 pages of groundbreaking research on the subject. With detailed information on plant morphology, mathematical models of growth processes, and computer-generated images of plant structures, this book is a must-have for students, educators, and anyone interested in the science of botany. The 11-inch length and 8.3-inch width of this trade paperback, along with its 0.2-inch height, make it a convenient and portable reference tool.

About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387946764

ISBN-139780387946764

eBay Product ID (ePID)128183

Product Key Features

Number of PagesXii, 228 Pages

Publication NameAlgorithmic Beauty of Plants

LanguageEnglish

Publication Year1996

SubjectLife Sciences / Botany, General, Algebra / General

TypeTextbook

AuthorAristid Lindenmayer, Przemyslaw Prusinkiewicz

Subject AreaMathematics, Computers, Science

SeriesThe Virtual Laboratory Ser.

FormatTrade Paperback

Dimensions

Item Height0.2 in

Item Weight27.2 Oz

Item Length11 in

Item Width8.3 in

Additional Product Features

Intended AudienceScholarly & Professional

Reviews"This marvelous book will occupy an important place in the scientific literature." --Prof. Heinz-Otto Peitgen, author of The Beauty of Fractals "...will perform a valuable service by popularizing this enlightening and bewitching form of mathematics." --Steven Levy "...full of delights and an excellent introduction to L-systems" --Alvy Ray Smith, IEEE Graphics and its Applications

Dewey Edition20

TitleLeadingThe

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal581.3/01/1

Table Of Content1 Graphical modeling using L-systems.- 1.1 Rewriting systems.- 1.2 DOL-systems.- 1.3 Turtle interpretation of strings.- 1.4 Synthesis of DOL-systems.- 1.5 Modeling in three dimensions.- 1.6 Branching structures.- 1.7 Stochastic L-systems.- 1.8 Context-sensitive L-systems.- 1.9 Growth functions.- 2 Modeling of trees.- 3 Developmental models of herbaceous plants.- 3.1 Levels of model specification.- 3.2 Branching patterns.- 3.3 Models of inflorescences.- 4 Phyllotaxis.- 4.1 The planar model.- 4.2 The cylindrical model.- 5 Models of plant organs.- 5.1 Predefined surfaces.- 5.2 Developmental surface models.- 5.3 Models of compound leaves.- 6 Animation of plant development.- 6.1 Timed DOL-systems.- 6.2 Selection of growth functions.- 7 Modeling of cellular layers.- 7.1 Map L-systems.- 7.2 Graphical interpretation of maps.- 7.3 Microsorium linguaeforme.- 7.4 Dryopteris thelypteris.- 7.5 Modeling spherical cell layers.- 7.6 Modeling 3D cellular structures.- 8 Fractal properties of plants.- 8.1 Symmetry and self-similarity.- 8.2 Plant models and iterated function systems.- Epilogue.- Appendix A Software environment for plant modeling.- A.1 A virtual laboratory in botany.- A.2 List of laboratory programs.- Appendix B About the figures.- Turtle interpretation of symbols.

SynopsisThis book is the first comprehensive volume on the computer simulation of plant development. It contains a full account of the algorithms used to model plant shapes and developmental processes, Lindenmayer systems in particular. With nearly 50 color plates, the spectacular results of the modelling are vividly illustrated. "This marvelous book will occupy an important place in the scientific literature." #Professor Heinz-Otto Peitgen# "The Algorithmic Beauty of Plants will perform a valuable service by popularizing this enlightening and bewitching form of mathematics." #Steven Levy# " ... the garden here is full of delights and an excellent introduction to L-systems, ..." #Alvy Ray Smith, IEEE Computer Graphics and its Applications#, The beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym- and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten- sively. This focus is reflected in a quotation from Weyl 159, page 3], "Beauty is bound up with symmetry. " This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, char- acterized by Mandelbrot 95, page 34] as follows: When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar. This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg 61]: In many growth processes of living organisms, especially of plants, regularly repeated appearances of certain multicel- lular structures are readily noticeable. . . . In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage. Thus, self-similarity in plants is a result of developmental processes. Growth and By emphasizing the relationship between growth and form, this book form follows a long tradition in biology., The beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten sively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry. " This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, char acterized by Mandelbrot [95, page 34] as follows: When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar. This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg [61]: In many growth processes of living organisms, especially of plants, regularly repeated appearances of certain multicel lular structures are readily noticeable. . . . In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage. Thus, self-similarity in plants is a result of developmental processes. Growth and By emphasizing the relationship between growth and form, this book form follows a long tradition in biology., The beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym- and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten- sively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry. " This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, char- acterized by Mandelbrot [95, page 34] as follows: When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar. This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg [61]: In many growthprocesses of living organisms, especially of plants, regularly repeated appearances of certain multicel- lular structures are readily noticeable. . . . In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage. Thus, self-similarity in plants is a result of developmental processes. Growth and By emphasizing the relationship between growth and form, this book form follows a long tradition in biology., The beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten sively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry. " This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, char acterized by Mandelbrot [95, page 34] as follows: When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar. This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg [61]: In many growthprocesses of living organisms, especially of plants, regularly repeated appearances of certain multicel lular structures are readily noticeable. . . . In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage. Thus, self-similarity in plants is a result of developmental processes. Growth and By emphasizing the relationship between growth and form, this book form follows a long tradition in biology.

LC Classification NumberQA75.5-76.95