A Fibonacci spiral is a geometric shape that grows in a pattern based on the Fibonacci sequence, where each number is the sum of the two preceding ones. This spiral is created by drawing quarter circles with radii that correspond to the Fibonacci numbers, resulting in a smooth, expanding curve. These spirals are often found in nature, such as in the arrangement of leaves, the shape of shells, and the patterns of hurricanes. The Golden Ratio, closely related to the Fibonacci sequence, also appears in art and architecture, highlighting the aesthetic appeal of these mathematical concepts.