The spiral was further studied by Torricelli and Jacques Bernoulli, later in the 17th century. Today, the spiral is still studied, and is still reproduced in nature. Although, now days the spiral is studied with computers. People don t have to spend much time on the curve to find what they are looking for. This has given actual applications to the spiral, mainly persuit curves.
Pursuit curves Four lizards are on the corners of a square.
Each one starts to chase its neighbor to the right. They all start at the same time and pursue at the same speed. This can also be done with three animals and the pattern that is traced is also an equiangular spiral . All of the animals end up in the same spot at the same time, exactly the middle of the area they are chasing around. Therefore an equiangular spiral is defined as a spiral that forms a constant angle between a line from the origin to any point on the curve and the tangent line s angle at that point and it s tangent is equal to the original angle.