An Archimedean Spiral is a type of spiral that expands outward at a constant rate. It is defined mathematically by the equation r = a + b\theta , where r is the distance from the center, \theta is the angle, and a and b are constants. This means that as the angle increases, the distance from the center increases linearly.
Named after the ancient Greek mathematician Archimedes, this spiral is commonly found in nature and art. It can be seen in various forms, such as in the arrangement of seeds in a sunflower or the shape of certain shells. The Archimedean spiral is significant in mathematics and physics for its unique properties and applications.