This paper studies the morphology and evolutionary growth of the Nautilus pompilius based on the fractional -trigonometry. Morphological models based on the fractional trigonometry are shown to be superior to those of the commonly assumed logarithmic spiral. The -trigonometric functions further infer fractional differential equations, which, based on power law parametric functions, are used to develop a fractional growth equation modeling evolution from conception to maturity. An important aspect of this work is that it demonstrates a method of determination of the dynamic description of a fractional trigonometrically defined process from its morphological description.
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