In this photo, my subject has substituted her eye for a shell but it isn’t just a shell, it’s a logarithmic spiral. The logarithmic spiral is the curve for which the angle between the tangent and the radius, the polar tangent is a constant. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an ‘eternal line’. More than century after that the curve was discovered by scientist and extensively investigated by Jacob Bernoulli, who called it Spira mirabilis, ‘the marvellous spiral’. The general equation of the logarithmic spiral is r = aeθ cot b, in which r is the radius of each turn of the spiral, a and b are constants that depend on the particular spiral, θ is the angle of rotation as the curve spirals, and e is the base of the natural logarithm. Therefore, it can be concluded that despite shells appearing as beautiful hard, protective outer layers that are usually created by an animal that lives in the sea to protect themselves- it is also contains mathematical logic behind it and that’s why I have decided to shoot maths in the wild.
