A logarithmic spiral is a self-similar curve that appears frequently in nature and mathematics. It is defined by the property that the angle between the tangent and the radial line from the center remains constant. This means that as the spiral expands, it does so in a way that maintains its shape, making it a unique and fascinating geometric figure. Logarithmic spirals can be found in various natural phenomena, such as the shells of certain nautilus species, the arrangement of leaves in phyllotaxis, and the patterns of hurricanes. They are also used in art and architecture, showcasing their aesthetic appeal and mathematical significance.