04677nam 2200589 450 991078313610332120230417182531.01-4613-8476-110.1007/978-1-4613-8476-2(CKB)1000000000013099(SSID)ssj0000933536(PQKBManifestationID)11504696(PQKBTitleCode)TC0000933536(PQKBWorkID)10889977(PQKB)11325795(DE-He213)978-1-4613-8476-2(MiAaPQ)EBC3078014(EXLCZ)99100000000001309920170905h19901990 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierThe algorithmic beauty of plants /Przemyslaw Pruskinkiewicz [et al.]New York :Springer,1990.©19901 online resource (XII, 228 pages) 14 illustrationsThe Virtual LaboratoryBibliographic Level Mode of Issuance: Monograph0-387-94676-4 Includes bibliographical references and index.1 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.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.Virtual laboratory.PlantsDevelopmentMathematical modelsPlantsDevelopmentComputer simulationL systemsComputer graphicsPlantsDevelopmentMathematical models.PlantsDevelopmentComputer simulation.L systems.Computer graphics.004Prusinkiewicz Przemyslaw1952-MiAaPQMiAaPQMiAaPQBOOK9910783136103321The algorithmic beauty of plants3794983UNINA02531nam 22005533 450 991100921800332120240317090303.09780295752389029575238610.1515/9780295752389(MiAaPQ)EBC31211704(Au-PeEL)EBL31211704(CKB)30898150000041(OCoLC)1427155135(DE-B1597)726434(DE-B1597)9780295752389(Perlego)4361834(EXLCZ)993089815000004120240317d2024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierBetween the Tides in California Exploring Beaches and Tidepools1st ed.Seattle :University of Washington Press,2024.©2024.1 online resource (324 pages)9780295752372 0295752378 Cover -- Title Page -- Copyright -- Contents -- Introduction -- Chapter 1. The Tumultuous Earth -- Chapter 2. Living between the Tides -- Chapter 3. Far Northern California -- Chapter 4. Mendocino, Sonoma, and Marin -- Chapter 5. San Francisco to Santa Cruz -- Chapter 6. Monterey, Big Sur, and the Central Coast -- Chapter 7. Santa Barbara to Los Angeles -- Chapter 8. Long Beach to San Diego -- Coda -- Acknowledgments -- Further Reading -- Index -- About the Authors -- Back Cover."Between the Tides in California is a highly accessible guidebook the rich and surprising ways that water and land interact to create seashore ecologies. This beautifully illustrated book is not your typical guidebook: leading marine scientists and scientific storytellers have collaborated to explain why different regions have developed distinctive characters and explore the dynamic forces that make the same beach a slightly different experience on each visit"--Provided by publisher.Natural historyCaliforniaGuidebooksCoastal ecologyCaliforniaGuidebooksNatural historyCoastal ecology508.794Kelly Ryan P1827677Klinger Terrie1827678Krug Patrick J1827679Meyer John J116984MiAaPQMiAaPQMiAaPQBOOK9911009218003321Between the Tides in California4395820UNINA