LEADER 04734nam 22006375 450 001 9910970740003321 005 20250818102542.0 010 $a1-4613-8476-1 024 7 $a10.1007/978-1-4613-8476-2 035 $a(CKB)1000000000013099 035 $a(SSID)ssj0000933536 035 $a(PQKBManifestationID)11504696 035 $a(PQKBTitleCode)TC0000933536 035 $a(PQKBWorkID)10889977 035 $a(PQKB)11325795 035 $a(DE-He213)978-1-4613-8476-2 035 $a(MiAaPQ)EBC3078014 035 $a(EXLCZ)991000000000013099 100 $a20121227d1990 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Algorithmic Beauty of Plants /$fby Przemyslaw Prusinkiewicz, Aristid Lindenmayer 205 $a1st ed. 1990. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1990. 215 $a1 online resource (XII, 228 pages) $c14 illustrations 225 1 $aThe Virtual Laboratory 300 $aBibliographic Level Mode of Issuance: Monograph 311 0 $a0-387-94676-4 320 $aIncludes bibliographical references and index. 327 $a1 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. 330 $aThe beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym­ and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten­ sively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry. " This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, char­ acterized by Mandelbrot [95, page 34] as follows: When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar. This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg [61]: In many growthprocesses of living organisms, especially of plants, regularly repeated appearances of certain multicel­ lular structures are readily noticeable. . . . In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage. Thus, self-similarity in plants is a result of developmental processes. Growth and By emphasizing the relationship between growth and form, this book form follows a long tradition in biology. 410 0$aThe Virtual Laboratory 606 $aComputer science 606 $aMathematics 606 $aBotany 606 $aComputer Science 606 $aMathematics 606 $aPlant Science 615 0$aComputer science. 615 0$aMathematics. 615 0$aBotany. 615 14$aComputer Science. 615 24$aMathematics. 615 24$aPlant Science. 676 $a004 702 $aPrusinkiewicz$b Przemyslaw$f1952- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970740003321 996 $aThe algorithmic beauty of plants$93963359 997 $aUNINA