Fibonacci Sequence, Golden Ratio, and the Spiral

This vibrant illustration merges mathematical beauty and art, showcasing the Fibonacci sequence, its recursive relation (), the golden ratio (), and the iconic golden spiral. Colorful numbers highlight key Fibonacci values, while geometric shapes like rectangles and triangles visually connect mathematics to nature and design. The formula for and the arrangement of squares build the spiral, illustrating the deep connection between number sequences and the aesthetics of growth and proportion.