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THE IMPRESSIVE COMPLEXITY IN THE NAUTILUS POMPILIUS SHELL

A. A. CASTREJÓN PITA

Centro de Investigación en Energía, UNAM, Ap. Postal 34, 62580 Temixco, Morelos, México

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J. R. CASTREJÓN PITA

Centro de Investigación en Energía, UNAM, Ap. Postal 34, 62580 Temixco, Morelos, México

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A. SARMIENTO GALÁN

Instituto de Matemáticas, UNAM, Av. Universidad s/n, 62200 Chamilpa, Morelos, México

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, and

R. CASTREJÓN GARCÍA

Instituto de Investigaciones Eléctricas, Av. Reforma 113, 62490 Temixco, Morelos, México

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https://doi.org/10.1142/S0218348X03001653Cited by:3 (Source: Crossref)

Abstract

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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