The impressive complexity in the Nautilus pompilius shell

Details The impressive complexity in the Nautilus pompilius shell The impressive complexity in the Nautilus pompilius shell

2002-10-08

arxiv.org/abs/nlin/0210013v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

8 pages, 8 figures, to appear in Fractals

Scientific paper

The complexity of the Nautilus pompilius shell is analyzed in terms of its fractal dimension and its equiangular spiral form. Our findings assert that the shell is fractal from its birth and that its growth is dictated by a self-similar criterion (we obtain the fractal dimension of the shell as a function of time). The variables that have been used for the analysis show an exponential dependence on the number of chambers/age of the cephalopod, a property inherited from its form.

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