A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1.618 to 1, where the longer side divided by the shorter side equals the golden ratio (φ). This ratio is mathematically defined as 1+52\frac{1+\sqrt{5}}{2}21+5​​. A distinctive property of a golden rectangle is that when you remove a square whose side is the length of the shorter side of the rectangle, the remaining rectangle will also be a golden rectangle with the same ratio. This self-similarity allows for the creation of an infinite number of smaller golden rectangles inside the original one, often visualized with a spiraling pattern known as the golden spiral. Golden rectangles have been historically significant and are often associated with aesthetics, as they appear in art, architecture, and nature. The pleasing proportions of the golden rectangle are believed to evoke balance and visual harmony.