Fermat's Spiral, also known as the parabolic spiral, is a type of spiral that is defined mathematically by the equation r = a \sqrt\theta , where r is the distance from the center, \theta is the angle in radians, and a is a constant. This spiral grows outward as the angle increases, creating a unique pattern that resembles the arrangement of seeds in a sunflower or the shells of certain mollusks.
The spiral is named after the French mathematician Pierre de Fermat, who contributed to number theory and calculus. Fermat's Spiral is notable for its property of having equal angular spacing between successive turns, making it visually appealing and relevant in various fields, including art, nature, and architecture.