Abstract
Phyllotaxis refers to the geometry governing the arrangement of inner florets of a sunflower (Fig. 1), of the scales of a pineapple (Fig. 2), of the leaves around a stem and so on. The florets align with spiral whorls in the case of spiral phyllotaxis (daisy) or with helices in the case of cylindrical phyllotaxis (pineapple or fir-cone).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adler I., J. Theor. Biol. 45 (1974), 1.
Jean R.V., Phytomathématique, Presses de l’Université du Quebec, Montreal (1978).
Hardy G.H., Wright E.M., An Introduction to the Theory of Numbers, Fifth Edition, Clarendon Press, Oxford (1979).
Schroeder M.R., Number Theory in Science and Communication, 2nd Edition, Springer Verlag, Berlin (1986).
Rothen F., Koch A.-J., J. Phys. France 50 (1989), 633.
Thompson D’Arcy W., On Growth and Form, 2nd Edition, Cambridge University Press, Cambridge (1942).
Coxeter H.S.M., Introduction to Geometry, 2nd Edition, Wiley and Sons, New-York (1969).
Levitov L.S., Phys. Rev. Lett. 66 (1991), 224; Europhys. Lett. 14 (1991), 533.
van Iterson G., Mathematische und Mikroskopische Anatomische Studien über Blattstellungen, Gustav Fischer Verlag, Jena (1907).
Rothen E, Koch A.-J., J. Phys. France 50 (1989), 1603.
Rivier N., Koch A.-J., Rothen F., in Biology Inspired Physics, L. Peliti Ed., Plenum Press, New-York and London (1991).
Douady S., Couder Y., Phys. Rev. Lett. 68 (1992) 2098.
Thornley J.H.M., Ann. Bot. Fenn. 39 (1975), 493.
Koch A.-J., Guerreiro J., Bernasconi G., Sadik J., submitted to J. Phys. I, France.
Guerreiro J., Thesis, Université de Lausanne (1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Basel AG
About this chapter
Cite this chapter
Rothen, F. (1994). Phyllotaxis or Self-Similarity in Plant Morphogenesis. In: Nonnenmacher, T.F., Losa, G.A., Weibel, E.R. (eds) Fractals in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8501-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8501-0_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9652-8
Online ISBN: 978-3-0348-8501-0
eBook Packages: Springer Book Archive