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Logarithmic spiral (pitch 10°) A section of the Mandelbrot set following a logarithmic spiral. A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie").
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A logarithmic spiral is a special kind of spiral curve which often appears in nature. This is a cutaway of a Nautilus shell showing the chambers arranged in an ...
The spiral has polar slope 2ln(ρ)/π, where ρ satisfies ... Nautilus shell and plastic spiral, with ρ the positive root of x^3 = x + 1: Width: 2240: Height: 1680
Cutaway of a nautilus shell showing the chambers arranged in an approximately logarithmic spiral In mathematics , a spiral is a curve which emanates from a point, moving further away as it revolves around the point.
For example, in the nautilus, a cephalopod mollusc, each chamber of its shell is an approximate copy of the next one, scaled by a constant factor and arranged in a logarithmic spiral. [51] Given a modern understanding of fractals, a growth spiral can be seen as a special case of self-similarity. [52]