Release on 2018-01-01 | by D'Arcy Wentworth Thompson
Author: D'Arcy Wentworth Thompson
Pubpsher: Prabhat Prakashan
It is not the biologist with an inkling of mathematics, but the skilled and learned mathematician who must ultimately deal with such problems as are merely sketched and adumbrated here. I pretend to no mathematical skill, but I have made what use I could of what tools I had; I have dealt with simple cases, and the mathematical methods which I have introduced are of the easiest and simplest kind. Elementary as they are, my book has not been written without the help—the indispensable help—of many friends. Like Mr Pope translating Homer, when I felt myself deficient I sought assistance! And the experience which Johnson attributed to Pope has been mine also, that men of learning did not refuse to help me.
Release on 2008-01-01 | by Sarah Bonnemaison,Philip Beesley
Organic Architecture and Beyond
Author: Sarah Bonnemaison,Philip Beesley
Pubpsher: Tuns Press
A collection of essays which revisits D'Arcy Thompson's On Growth and Form to explore the link between morphology and form-making in historical and contemporary design. Originally presented at the ACSA East Central conference "On Growth and Form: the Engineering of Nature"
Release on 2012-12-06 | by Harry Eugene Stanley,N. Ostrowsky
Fractal and Non-Fractal Patterns in Physics
Author: Harry Eugene Stanley,N. Ostrowsky
Pubpsher: Springer Science & Business Media
We have shown that simple power-law dynamics is expected for flexible fractal objects. Although the predicted behavior is well established for linear polymers, the situationm is considerably more complex for colloidal aggregates. In the latter case, the observed K-dependence of (r) can be explained either in terms of non-asymptotic hydrodynamics or in terms of weak power-law polydispersity. In the case of powders (alumina, in particular) apparent fractal behavior seen in static scattering is not found in the dynamics. ID. W. Schaefer, J. E. Martin, P. Wiitzius, and D. S. Cannell, Phys. Rev. Lett. 52,2371 (1984). 2 J. E. Martin and D. W. Schaefer, Phys. Rev. Lett. 5:1,2457 (1984). 3 D. W. Schaefer and C. C. Han in Dynamic Light Scattering, R. Pecora ed, Plenum, NY, 1985) p. 181. 4 P. Sen, this book. S J. E. Martin and B. J. Ackerson, Phys. Rev. A :11, 1180 (1985). 6 J. E. Martin, to be published. 7 D. A. Weitz, J. S. Huang, M. Y. Lin and J. Sung, Phys. Rev. Lett. 53,1657 (1984) . 8 J. E. Martin, D. W. Schaefer and A. J. Hurd, to be published; D. W. Schaefer, K. D. Keefer, J. E. Martin, and A. J. Hurd, in Physics of Finely Divided Matter, M. Daoud, Ed., Springer Verlag, NY, 1985. 9 D. W. Schaefer and A. J. Hurd, to be published. lOJ. E. Martin, J. Appl. Cryst. (to be published).
Of interest to theoretical biologists, as well as mathematicians, physical scientists or anyone concerned with problems in growth, chemical ecology and the developmental biology of form, these essays on biological modelling by American, British and Canadian researchers provide an interesting geometric excursion to the frontiers of contemporary mathematical biology.