Symmetry in Plants

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World Scientific, 1998 - Science - 835 pages
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The 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.
 

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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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