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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").
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 .
The chambered nautilus (Nautilus pompilius), also called the pearly nautilus, is the best-known species of nautilus. The shell, when cut away, reveals a lining of lustrous nacre and displays a nearly perfect equiangular spiral, although it is not a golden spiral. The shell exhibits countershading, being light on the bottom and dark on top. This ...
The logarithmic spiral of the nautilus shell is a classical image used to depict the growth and change related to calculus. Calculus is used in every branch of the physical sciences, [ 53 ] : 1 actuarial science , computer science , statistics , engineering , economics , business , medicine , demography , and in other fields wherever a problem ...
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 ...
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.