16. The Fibonacci Sequence

The source explains the connection between the Fibonacci sequence and the Golden Ratio, also known as the Golden Section. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers (e.g., 1, 1, 2, 3, 5, 8). The Golden Ratio is an irrational number, approximately 1.618, that appears in various natural and mathematical phenomena. The source shows that the ratio of consecutive terms in the Fibonacci sequence approaches the Golden Ratio as the sequence progresses. It then explores the relationship between the Golden Ratio and the Close Packing of Spheres (CPS) geometry, which is a system for studying the arrangement of spheres in three-dimensional space. The source argues that the CPS geometry provides a geometric interpretation of the Golden Ratio and the Fibonacci sequence, demonstrating that the relationship between these concepts is not just a mathematical curiosity but has a basis in the natural world.