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25 April 2024
 
  » arxiv » nlin.AO/0210013

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The impressive complexity in the Nautilus pompilius shell
A. A. Castrejon Pita ; J. R. Castrejon Pita ; A. Sarmiento Galan ; R. Castrejon Garcia ;
Date 8 Oct 2002
Subject Adaptation and Self-Organizing Systems; Quantitative Methods | nlin.AO q-bio.QM
AbstractThe 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.
Source arXiv, nlin.AO/0210013
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