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 spiral is named after the ancient Greek mathematician Archimedes, who studied its properties. The Archimedean spiral is unique because the distance between each turn remains the same, making it different from other spirals like the logarithmic spiral. It can be found in various natural and man-made structures, such as shells, galaxies, and certain architectural designs.