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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").
It is sometimes erroneously stated that spiral galaxies and nautilus shells get wider in the pattern of a golden spiral, and hence are related to both φ and the Fibonacci series. [3] In truth, many mollusk shells including nautilus shells exhibit logarithmic spiral growth, but at a variety of angles usually distinctly different from that of ...
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.
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The nautilus shell presents one of the finest natural examples of a logarithmic spiral, although it is not a golden spiral. The use of nautilus shells in art and literature is covered at nautilus shell .
An example. In mathematics, a conchospiral a specific type of space spiral on the surface of a cone (a conical spiral), whose floor projection is a logarithmic spiral. Conchospirals are used in biology for modelling snail shells, and flight paths of insects [1] [2] and in electrical engineering for the construction of antennas. [3] [4]
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 approximately logarithmic spiral. Chris 72
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 ...