Symmetry in PlantsThe book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters.The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood.Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis.The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis.This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis. |
Contents
Phyllotaxis | xliv |
Basic Information Gathering and Pattern Recognition | 1 |
Systems of Phyllotaxis in the Genus Eucalyptus | 33 |
Pendulum Symmetry | 61 |
Phyllotaxis in the Vitaceae | 89 |
Phyllotaxis in Flowers and in Flower Reversion | 109 |
Decussate to Spiral Transitions in Phyllotaxis | 125 |
The Physiological Basis of Pattern Generation in the Sunflower | 145 |
How Plants Produce Pattern A Review and a Proposal | 359 |
The Crocograph and its Practical Utility in Phyllotaxis | 393 |
A Study in Number | 409 |
Phyllotaxis as a Geometrical and Dynamical System | 459 |
Creating Phyllotaxis from Seed to Flower | 487 |
The Role and Importance of Vertical Spacing at the Plant | 523 |
Origins of Phyllotaxis | 537 |
Universal Results from a Simple Model of Phyllotaxis | 571 |
Plastochrone Ratio and Leaf Arc as Parameters of | 171 |
Changes in Phyllotactic Pattern Structure in Pinus L due | 213 |
Biastrepsis and Allomery of Stems of Dipsacus Sylvestris Mill | 231 |
Pattern Generation in Phyllotaxis | 247 |
Modelling Meristic Characters of Asteracean Flowerheads | 281 |
The Shape of Dirichlet Regions in a Coxeter Lattice | 313 |
The Selection of Phyllotactic Patterns | 335 |
Elementary Rules of Growth in Phyllotaxis | 601 |
A Mechanical Theory | 619 |
The Atomic Origin of Structural Periodicity | 655 |
Uniform Spacing Models for the Morphogenesis of High | 681 |
Models of Pattern Formation Applied to Plant Development | 723 |
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Common terms and phrases
apical meristem arrangement autocatalysis axillary buds axis biastrepsis bifurcation bijugate Biol biological bracts branching capitulum carpels cell contact parastichy continued fraction convergents corresponding cylindrical decrease decussate diagram disks distance distichous divergence angle dorsiventral Douady and Couder dynamical Farey series Farey triangle Fibonacci numbers Fibonacci sequence floral floret flower frequency function genes geometrical golden mean growth helices helix inflorescence inhibitor initiation inner phyllaries interaction internode Jean lattice leaf primordia leaf shape leaves mechanism Meicenheimer modes morphogenesis node observed opposed parastichy pair organs parameters pattern formation pendulum symmetry phyllaries phyllotactic patterns phyllotaxis plants plastochrone ratio position Posluszny primordia primordium quasi-crystals radial radius receptacle relative Rhododendron Sattler seedling sepals sequence shoot apex shoot apical shoot tips simulations species spiral pattern spiral phyllotaxis stem structure sunflower telome theory transition values vertical Vireya visible opposed parastichy Vitaceae whorled