The Golden Ratio has generally been revered as the most aesthetically pleasing relationship that exists between two numbers. The Fibonacci Sequence is a famous collection of integers occurring unusually often in nature, with many amazing properties, and is intimately related to the Golden Ratio. An intriguing puzzle (“The Vanishing Square”) will set the stage. Then we will examine the origins of both the Golden Ratio and the Fibonacci Sequence and discover how their histories are intertwined. But….does the Golden Ratio really live up to its reputation?
Andrilli, Stephen, "The Vanishing Square, The Fibonacci Sequence, and The Golden Ratio" (2011). Explorer Café. Paper 3.