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Apr 23, 13 · The spiral of the nautilus' shell is often said to fit precisely within a golden rectangle regardless of its size But that is untrue Each nautilus shell does maintain the same proportions throughout the animal's life (that is, it's a logarithmic spiral),The arms of spiral galaxies often have the shape of a logarithmic spiral, here the Whirlpool Galaxy Cutaway of a nautilus shell showing the chambers arranged in an approximately logarithmic spiral The plotted spiral (dashed blue curve) is based on growth rate parameter, resulting in a pitch ofSep 24,  · A perfect example of this is the nautilus shell, whose chambers adhere to the Fibonacci sequence's logarithmic spiral almost perfectly This famous pattern shows up everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space The Mathematics Of Nautilus Shells Flextiles Nautilus shell mathematics